Wissenschaftliche Veröffentlichungen

• Publications

  2023 - 2022 - 2021 - 2020 - 2019
  

  2025

  $\bullet $ Francesco Fournier-Facio, Maria Gerasimova, and Pieter Spaas. Local Hilbert–Schmidt stability. Journal of Algebra, 663:589–629, February 2025. doi:10.1016/j.jalgebra.2024.08.042.

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  2024

  $\bullet $ H. Grosse, N. Kanomata, A. Sako, and R. Wulkenhaar. Relationship between Φ⁴-matrix model and N-body harmonic oscillator or Calogero-Moser model. Journal of Physics: Conference Series, 2912(1):012014, December 2024. doi:10.1088/1742-6596/2912/1/012014.

  $\bullet $ Sonja Cox, Arnulf Jentzen, and Felix Lindner. Weak convergence rates for temporal numerical approximations of the semilinear stochastic wave equation with multiplicative noise. Numer. Math., 156(6):2131–2177, December 2024. doi:10.1007/s00211-024-01425-8.

  $\bullet $ Zakhar Kabluchko and Matthias Löwe. Propagation of chaos in the random field Curie–Weiss model. Journal of Statistical Mechanics: Theory and Experiment, 2024(11):113206, November 2024. doi:10.1088/1742-5468/ad8f2a.

  $\bullet $ Nicola De Nitti, David Meyer, and Christian Seis. Optimal regularity for the 2d Euler equations in the Yudovich class. Journal de Mathématiques Pures et Appliquées, 191:103631, November 2024. doi:10.1016/j.matpur.2024.103631.

  $\bullet $ Reto Buzano, Huy The Nguyen, and Mario B. Schulz. Noncompact self-shrinkers for mean curvature flow with arbitrary genus. Journal für die reine und angewandte Mathematik (Crelles Journal), October 2024. doi:10.1515/crelle-2024-0073.

  $\bullet $ Marlies Pirner. A consistent kinetic Fokker-Planck model for gas mixtures. Journal of Statistical Physics, 191(11):Paper No. 143, 18, October 2024. doi:10.1007/s10955-024-03361-1.

  $\bullet $ Christian Engwer, Mario Ohlberger, and Lukas Renelt. Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. SIAM Journal on Scientific Computing, 46(5):A3205–A3229, October 2024. doi:10.1137/23m1613402.

  $\bullet $ P. Grazieschi, K. Matetski, and H. Weber. The dynamical Ising-Kac model in 3D converges to $\phi ^4_3$. Probability Theory and Related Fields, October 2024. doi:10.1007/s00440-024-01316-x.

  $\bullet $ Maria Herick, Michael Joachim, and Jan Vahrenhold. Adaptive approximation of persistent homology. Journal of Applied and Computational Topology, 8(8):2327–2366, October 2024. doi:10.1007/s41468-024-00192-7.

  $\bullet $ Hans‐Joachim Hein and Valentino Tosatti. Smooth asymptotics for collapsing Calabi–Yau metrics. Communications on Pure and Applied Mathematics, October 2024. doi:10.1002/cpa.22228.

  $\bullet $ Christopher Deninger, Theo Grundhöfer, and Linus Kramer. Weil tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation. J. Algebra, 656:170–195, October 2024. doi:10.1016/j.jalgebra.2023.08.028.

  $\bullet $ Sylvy Anscombe, Philip Dittmann, and Franziska Jahnke. Ax–Kochen–Ershov principles for finitely ramified henselian fields. Transactions of the American Mathematical Society, September 2024. doi:10.1090/tran/9271.

  $\bullet $ Michael Kartmann, Tim Keil, Mario Ohlberger, Stefan Volkwein, and Barbara Kaltenbacher. Adaptive reduced basis trust region methods for parameter identification problems. Computational Science and Engineering, September 2024. doi:10.1007/s44207-024-00002-z.

  $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Gradient descent provably escapes saddle points in the training of shallow ReLU networks. Journal of Optimization Theory and Applications, September 2024. doi:10.1007/s10957-024-02513-3.

  $\bullet $ Paolo Grazieschi, Konstantin Matetski, and Hendrik Weber. Martingale-driven integrals and singular SPDEs. Probability Theory and Related Fields, August 2024. arXiv:2303.10245, doi:10.1007/s00440-024-01311-2.

  $\bullet $ Christian Seis and Dominik Winkler. Fine large-time asymptotics for the axisymmetric Navier–Stokes equations. Journal of Evolution Equations, August 2024. doi:10.1007/s00028-024-01001-5.

  $\bullet $ Benjamin Brück, Yuri Santos Rego, and Robin Sroka. On the top-dimensional cohomology of arithmetic Chevalley groups. Proceedings of the American Mathematical Society, August 2024. doi:10.1090/proc/16948.

  $\bullet $ Benjamin Brück, Kevin I Piterman, and Volkmar Welker. The Common Basis Complex and the Partial Decomposition Poset. International Mathematics Research Notices, August 2024. doi:10.1093/imrn/rnae177.

  $\bullet $ Tim Erdbrügger, Malte Höltershinken, Jan-Ole Radecke, Yvonne Buschermöhle, Fabrice Wallois, Sampsa Pursiainen, Joachim Gross, Rebekka Lencer, Christian Engwer, and Carsten Wolters. CutFEM-based MEG forward modeling improves source separability and sensitivity to quasi-radial sources: A somatosensory group study. Human Brain Mapping, 45(11):e26810, August 2024. doi:10.1002/hbm.26810.

  $\bullet $ Benjamin Brück, Jeremy Miller, Peter Patzt, Robin J. Sroka, and Jennifer C.H. Wilson. On the codimension-two cohomology of $SL_n(Z)$. Advances in Mathematics, 451:109795, August 2024. doi:10.1016/j.aim.2024.109795.

  $\bullet $ Martin Hils and Silvain Rideau-Kikuchi. Un principe d'Ax-Kochen-Ershov imaginaire. Journal of the European Mathematical Society, July 2024. doi:10.4171/jems/1492.

  $\bullet $ Thomas J. Haines, João Lourenço, and Timo Richarz. On the normality of Schubert varieties: remaining cases in positive characteristic. Annales Scientifiques de l’École Normale Supérieure, 57(3):895–959, July 2024. doi:10.24033/asens.2584.

  $\bullet $ Ursula Ludwig. A Morse-Bott type complex and the Bismut-Zhang torsion for intersection cohomology. Annales de l’Institut Fourier, pages 1–68, July 2024. doi:10.5802/aif.3648.

  $\bullet $ Johannes Ebert and Michael Wiemeler. On the homotopy type of the space of metrics of positive scalar curvature. Journal of the European Mathematical Society, 26(9):3327–3363, July 2024. doi:10.4171/JEMS/1333.

  $\bullet $ Chiranjib Mukherjee and Konstantin Recke. Schur multipliers of C$^*$ algebras, group-invariant compactification and applications to amenability and percolation. Journal of Functional Analysis, 287(2):Paper No. 110468, July 2024. doi:10.1016/j.jfa.2024.110468.

  $\bullet $ Alexander Hock and Raimar Wulkenhaar. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0 (with an appendix by Maciej Dołęga). Ann. Inst. Henri Poincaré Comb. Phys. Interact., July 2024. doi:10.4171/AIHPD/198.

  $\bullet $ Björn Schembera, Frank Wübbeling, Hendrik Kleikamp, Christine Biedinger, Jochen Fiedler, Marco Reidelbach, Aurela Shehu, Burkhard Schmidt, Thomas Koprucki, Dorothea Iglezakis, and Dominik Göddeke. Ontologies for models and algorithms in applied mathematics and related disciplines. In Emmanouel Garoufallou and Fabio Sartori, editors, Metadata and Semantic Research, 161–168. Cham, July 2024. Springer Nature Switzerland. doi:10.1007/978-3-031-65990-4_14.

  $\bullet $ Jonas F. de Medeiros, Maicon J. Karling, Silvia Regina C. Lopes, and Guilherme L. Feltes. Quadratic fractionally integrated moving average processes with long-range dependence. Selecciones Matemáticas, 11(1):1–19, July 2024. doi:10.17268/sel.mat.2024.01.01.

  $\bullet $ Christopher Kauffman. Global stability for charged scalar fields in an asymptotically flat metric in harmonic gauge. Annales Henri Poincaré, 25(3):1957–2035, July 2024. doi:10.1007/s00023-023-01341-x.

  $\bullet $ Steffen Dereich and Sebastian Kassing. Convergence of stochastic gradient descent schemes for Łojasiewicz-landscapes. Journal of Machine Learning, 3(3):245–281, June 2024. doi:10.4208/jml.240109.

  $\bullet $ Fabian Hornung, Arnulf Jentzen, and Diyora Salimova. Space-time deep neural network approximations for high-dimensional partial differential equations. Journal of Computational Mathematics, 0(0):0–0, June 2024. doi:10.4208/jcm.2308-m2021-0266.

  $\bullet $ Sylvain E. Cappell, Laurenţiu G. Maxim, Jörg Schürmann, and Julius L. Shaneson. Equivariant toric geometry and Euler-Maclaurin formulae—an overview. Rev. Roumaine Math. Pures Appl., 69(2):105–128, June 2024. doi:10.59277/RRMPA.2024.105.128.

  $\bullet $ Benjamin Brück and Robin J. Sroka. Apartment Classes of Integral Symplectic Groups. Journal of Topology and Analysis, June 2024. doi:10.1142/s1793525324500286.

  $\bullet $ Michael Wiemeler. On a conjecture of Stolz in the toric case. Proceedings of the American Mathematical Society, 152(8):3617–3621, June 2024. doi:10.1090/proc/16823.

  $\bullet $ Christopher Deninger. Dynamical systems for arithmetic schemes. Indagationes Mathematicae, June 2024. doi:10.1016/j.indag.2024.05.007.

  $\bullet $ Simone Cecchini and Rudolf Zeidler. The positive mass theorem and distance estimates in the spin setting. Transactions of the American Mathematical Society, June 2024. doi:10.1090/tran/8942.

  $\bullet $ Christoph Böhm, Timothy Buttsworth, and Brian Clarke. Scalar curvature along Ebin geodesics. Journal für die reine und angewandte Mathematik (Crelles Journal), 2024(813):159–196, June 2024. doi:10.1515/crelle-2024-0033.

  $\bullet $ Gaëtan Borot and Raimar Wulkenhaar. A note on BKP for the Kontsevich matrix model with arbitrary potential. Symmetry, Integrability and Geometry: Methods and Applications, June 2024. doi:10.3842/sigma.2024.050.

  $\bullet $ Becky Armstrong, Lisa Orloff Clark, Mahya Ghandehari, Eun Ji Kang, and Dilian Yang. Representing topological full groups in Steinberg algebras and C*-algebras. Journal of Mathematical Analysis and Applications, 534(1):128023, June 2024. doi:10.1016/j.jmaa.2023.128023.

  $\bullet $ Anselm Hudde, Martin Hutzenthaler, Arnulf Jentzen, and Sara Mazzonetto. On the Itô–Alekseev–Gröbner formula for stochastic differential equations. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, May 2024. doi:10.1214/21-aihp1199.

  $\bullet $ Tizian Wenzel, Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, and Felix Schindler. Application of deep kernel models for certified and adaptive RB-ML-ROM surrogate modeling. In Ivan Lirkov and Svetozar Margenov, editors, Large-Scale Scientific Computations, 117–125. Springer Nature Switzerland, May 2024. doi:10.1007/978-3-031-56208-2_11.

  $\bullet $ David Meyer and Christian Seis. Propagation of regularity for transport equations: a littlewood-paley approach. Indiana Univ. Math. J., 73(2):445–473, May 2024. doi:10.1512/iumj.2024.73.9825.

  $\bullet $ Carolyn R. Abbott, Sahana Balasubramanya, and Alexander J. Rasmussen. Valuations, completions, and hyperbolic actions of metabelian groups. Journal of the London Mathematical Society, May 2024. doi:10.1112/jlms.12916.

  $\bullet $ Antje Dabeler, Emilie Mai Elkiær, Maria Gerasimova, and Tim de Laat. Unitary $L^p$$^+$-representations of almost automorphism groups. Comptes Rendus. Mathématique, 362(G3):245–249, May 2024. doi:10.5802/crmath.549.

  $\bullet $ Simone Cecchini and Rudolf Zeidler. Scalar and mean curvature comparison via the Dirac operator. Geometry and Topology, 28:1167–1212, May 2024. doi:10.2140/gt.2024.28.1167.

  $\bullet $ Qi Yao. Invariant scalar-flat Kähler metrics on line bundles over generalized flag varieties. Canadian Journal of Mathematics, pages 1–22, May 2024. doi:10.4153/s0008414x24000464.

  $\bullet $ Sam C. Collingbourne and Gustav Holzegel. Uniform boundedness for solutions to the Teukolsky equation on Schwarzschild from conservation laws of linearised gravity. Communications in Mathematical Physics, 405:Paper No. 138, May 2024. doi:10.1007/s00220-024-04999-4.

  $\bullet $ Kristin Courtney, Anna Duwenig, Magdalena C. Georgescu, Astrid an Huef, and Maria Grazia Viola. Alexandrov groupoids and the nuclear dimension of twisted groupoid C*-algebras. Journal of Functional Analysis, 286(9):110372, May 2024. doi:10.1016/j.jfa.2024.110372.

  $\bullet $ Martin Holler and Benedikt Wirth. Exact reconstruction and reconstruction from noisy data with anisotropic total variation. SIAM Journal on Mathematical Analysis, 56(3):2938–2967, May 2024. doi:10.1137/22m1508571.

  $\bullet $ M. Holler, A. Schlüter, and B. Wirth. Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space. Applied and Computational Harmonic Analysis, 70:101631, May 2024. doi:10.1016/j.acha.2024.101631.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. Sectional Voronoi tessellations: characterization and high-dimensional limits. Bernoulli, May 2024. doi:10.3150/23-bej1641.

  $\bullet $ Maria Gerasimova and Nicolas Monod. A family of exotic group C*-algebras. Advances in Mathematics, 442:109594, April 2024. doi:10.1016/j.aim.2024.109594.

  $\bullet $ Sonja Cox, Martin Hutzenthaler, and Arnulf Jentzen. Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations. Memoirs of the American Mathematical Society, April 2024. doi:10.1090/memo/1481.

  $\bullet $ Manuel Krannich and Alexander Kupers. Embedding calculus for surfaces. Algebraic &; Geometric Topology, 24(2):981–1018, April 2024. doi:10.2140/agt.2024.24.981.

  $\bullet $ Ilka Budde, André Schlichting, David Ing, Sandra Schimmelpfennig, Anna Kuntze, Benedikt Fels, Joelle M-J Romac, Sandip M Swain, Rodger A Liddle, Angela Stevens, Albrecht Schwab, and Zoltán Pethő. Piezo1-induced durotaxis of pancreatic stellate cells depends on trpc1 and trpv4 channels. bioRxiv e-prints, April 2024. arXiv:2023.12.22.572956.

  $\bullet $ Rodrigo Bazaes, Isabel Lammers, and Chiranjib Mukherjee. Subcritical Gaussian multiplicative chaos in the Wiener space: construction, moments and volume decay. Probability Theory and Related Fields, April 2024. doi:10.1007/s00440-024-01271-7.

  $\bullet $ Beomjun Choi and Christian Seis. Finite-dimensional leading order dynamics for the fast diffusion equation near extinction. Discrete and Continuous Dynamical Systems, 44(9):2697–2712, April 2024. doi:10.3934/dcds.2024043.

  $\bullet $ Ronan J. Conlon and Hans-Joachim Hein. Classification of asymptotically conical Calabi-Yau manifolds. Duke Mathematical Journal, April 2024. doi:10.1215/00127094-2023-0030.

  $\bullet $ Amrita Singh, Sameedha Thale, Tobias Leibner, Lucas Lamparter, Andrea Ricker, Harald Nüsse, Jürgen Klingauf, Milos Galic, Mario Ohlberger, and Maja Matis. Dynamic interplay of microtubule and actomyosin forces drive tissue extension. Nature Communications, April 2024. doi:10.1038/s41467-024-47596-8.

  $\bullet $ Petr Naryshkin. Group extensions preserve almost finiteness. Journal of Functional Analysis, 286(7):110348, April 2024. doi:10.1016/j.jfa.2024.110348.

  $\bullet $ Ian Gleason and João Lourenço. Tubular neighborhoods of local models. Duke Mathematical Journal, March 2024. doi:10.1215/00127094-2023-0028.

  $\bullet $ Sylvy Anscombe and Franziska Jahnke. Characterizing NIP henselian fields. Journal of the London Mathematical Society, March 2024. doi:10.1112/jlms.12868.

  $\bullet $ Christian Seis and Dominik Winkler. Invariant manifolds for the thin film equation. Archive for Rational Mechanics and Analysis, March 2024. doi:10.1007/s00205-024-01968-y.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Julian Kranz, Petr Naryshkin, and Andrea Vaccaro. Tracially amenable actions and purely infinite crossed products. Mathematische Annalen, March 2024. doi:10.1007/s00208-024-02833-9.

  $\bullet $ Joseph Ben Geloun, Andreas G. A. Pithis, and Johannes Thürigen. QFT with tensorial and local degrees of freedom: Phase structure from functional renormalization. Journal of Mathematical Physics, March 2024. doi:10.1063/5.0158724.

  $\bullet $ Mihalis Dafermos, Gustav Holzegel, and Igor Rodnianski. A scattering theory construction of dynamical vacuum black holes. Journal of Differential Geometry, February 2024. doi:10.4310/jdg/1712344221.

  $\bullet $ Martin Brückerhoff and Martin Huesmann. Shadows and barriers. The Annals of Applied Probability, February 2024. doi:10.1214/23-aap1981.

  $\bullet $ Siegfried Echterhoff and Mikael Rørdam. Inclusions of $C^*$-algebras arising from fixed-point algebras. Groups Geom. Dyn., 18(1):127–145, February 2024. doi:10.4171/ggd/743.

  $\bullet $ Roland Herzog and Estefanía Loayza-Romero. A Discretize-then-Optimize Approach to PDE-Constrained Shape Optimization. ESAIM: Control, Optimisation and Calculus of Variations, 30:11, February 2024. doi:10.1051/cocv/2023071.

  $\bullet $ Francis Comets, Clément Cosco, and Chiranjib Mukherjee. Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d\geq 3$ and the Gaussian free field. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 60(1):82–112, February 2024. doi:10.1214/22-AIHP1272.

  $\bullet $ Paolo Aluffi, Leonardo Mihalcea, Jörg Schürmann, and Changjian Su. Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem. Annales Scientifiques de l'ÉNS, 57(1):87–141, February 2024. doi:10.24033/asens.2571.

  $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of vortices in viscous 2D flows. Mathematische Annalen, 388:1937–1967, February 2024. doi:10.1007/s00208-023-02568-z.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Petr Naryshkin, and Andrea Vaccaro. Dynamical comparison and Z-stability for crossed products of simple $\rm C^*$-algebras. Advances in Mathematics, 438:109471, February 2024. doi:10.1016/j.aim.2023.109471.

  $\bullet $ Tamir Hemo, Timo Richarz, and Jakob Scholbach. A categorical Künneth formula for constructible Weil sheaves. Algebra & Number Theory, pages 499–536, February 2024. doi:10.2140/ant.2024.18.499.

  $\bullet $ Harald Grosse, Naoyuki Kanomata, Akifumi Sako, and Raimar Wulkenhaar. Real symmetric $\Phi ^4$-matrix model as Calogero–Moser model. Letters in Mathematical Physics, February 2024. doi:10.1007/s11005-024-01772-5.

  $\bullet $ Monroe Eskew, Sy-David Friedman, Yair Hayut, and Farmer Schlutzenberg. Mutually embeddable models of ZFC. Annals of Pure and Applied Logic, 175(1):103325, January 2024. doi:10.1016/j.apal.2023.103325.

  $\bullet $ Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes. In A glimpse into geometric representation theory, volume 804 of Contemp. Math., pages 1–52. American Mathematical Society, 2024. doi:10.1090/conm/804/16110.

  $\bullet $ Maria Gerasimova and Konstantin Shchepin. Virtually free groups are $p$-Schatten stable. Proceedings of the American Mathematical Society, 152(1):411–421, January 2024. doi:10.1090/proc/16411.

  $\bullet $ Gideon Amir, Guy Blachar, Maria Gerasimova, and Gady Kozma. Lipschitz harmonic functions on vertex-transitive graphs. Electronic Communications in Probability, January 2024. doi:10.1214/24-ecp588.

  $\bullet $ Steffen Dereich and Sebastian Kassing. On the existence of optimal shallow feedforward networks with ReLU activation. Journal of Machine Learning, 3(1):1–22, January 2024. doi:10.4208/jml.230903.

  $\bullet $ Ilya Chevyrev, Andris Gerasimovičs, and Hendrik Weber. Feature engineering with regularity structures. Journal of Scientific Computing, 98(1):13, January 2024. doi:10.1007/s10915-023-02401-4.

  $\bullet $ Martin Huesmann, Francesco Mattesini, and Felix Otto. There is no stationary p-cyclically monotone Poisson matching in 2d. Electron. J. Probab., January 2024. doi:10.1214/24-ejp1171.

  $\bullet $ Sebastian Becker, Arnulf Jentzen, Marvin S. Müller, and Philippe von Wurstemberger. Learning the random variables in Monte Carlo simulations with stochastic gradient descent: Machine learning for parametric PDEs and financial derivative pricing. Mathematical Finance, 34(1):90–150, January 2024. doi:10.1111/mafi.12405.

  $\bullet $ Eva Viehmann. On Newton strata in the $B^+$$_d$$_R$-Grassmannian. Duke Mathematical Journal, 173(1):177–225, January 2024. doi:10.1215/00127094-2024-0005.

  $\bullet $ Juliane Braunsmann, Marko Rajković, Martin Rumpf, and Benedikt Wirth. Convergent autoencoder approximation of low bending and low distortion manifold embeddings. ESAIM: Mathematical Modelling and Numerical Analysis, 58(1):335–361, January 2024. doi:10.1051/m2an/2023088.

  $\bullet $ Johannes Ebert and Jens Reinhold. Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds. Journal of Topology, January 2024. doi:10.1112/topo.12324.

  $\bullet $ Guilherme de Lima Feltes and Hendrik Weber. Brownian particle in the curl of 2-d stochastic heat equations. Journal of Statistical Physics, 191(2):16, January 2024. doi:10.1007/s10955-023-03224-1.

  $\bullet $ Simone Cecchini, Martin Lesourd, and Rudolf Zeidler. Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields. International Mathematics Research Notices, 2024(9):7870–7890, January 2024. doi:10.1093/imrn/rnad315.

  $\bullet $ Tim Keil and Mario Ohlberger. A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. ESAIM: Mathematical Modelling and Numerical Analysis, 58(1):79–105, January 2024. doi:10.1051/m2an/2023089.

  $\bullet $ Amandine Escalier. Building prescribed quantitative orbit equivalence with the integers. Groups, Geometry, and Dynamics, January 2024. doi:10.4171/ggd/766.

  $\bullet $ Benjamin Brück, Francesco Fournier-Facio, and Clara Löh. Median quasimorphisms on $\rm CAT $$(0)$ cube complexes and their cup products. Geometriae Dedicata, 218(28):1–33, January 2024. doi:10.1007/s10711-023-00870-3.

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  2023

  $\bullet $ Manuel Friedrich and Leonard Kreutz. A Proof of Finite Crystallization via Stratification. J. Stat. Phys., December 2023. doi:10.1007/s10955-023-03202-7.

  $\bullet $ Gustav Holzegel and Christopher Kauffman. The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms. Journal of Hyperbolic Differential Equations, 20(04):825–834, December 2023. doi:10.1142/s0219891623500273.

  $\bullet $ Athanasios Chatzikaleas. On the Fourier analysis of the Einstein–Klein–Gordon system: growth and decay of the Fourier constants. Annales Henri Poincaré, December 2023. doi:10.1007/s00023-023-01393-z.

  $\bullet $ Matthias Wink. Cohomogeneity one Ricci solitons from Hopf fibrations. Communications in Analysis and Geometry, 31(3):625–676, December 2023. doi:10.4310/cag.2023.v31.n3.a4.

  $\bullet $ Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon, and Valeriy V. Slastikov. Magnetic skyrmions under confinement. Communications in Mathematical Physics, 404(3):1571–1605, November 2023. doi:10.1007/s00220-023-04864-w.

  $\bullet $ Diego Martínez. A note on the quasi-diagonality of inverse semigroup reduced c∗-algebras. Journal of Operator Theory, 90(2):313–329, November 2023. doi:10.7900/jot.2021nov29.2424.

  $\bullet $ Renato G. Bettiol and Anusha M. Krishnan. Ricci flow does not preserve positive sectional curvature in dimension four. Calculus of Variations and Partial Differential Equations, November 2023. doi:10.1007/s00526-022-02335-z.

  $\bullet $ Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. Shadows of characteristic cycles, Verma modules, and positivity of Chern–Schwartz–MacPherson classes of Schubert cells. Duke Mathematical Journal, 172(17):3257 – 3320, November 2023. doi:10.1215/00127094-2022-0101.

  $\bullet $ X. Fu, H.-J. Hein, and X. Jiang. Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps. Calculus of Variations and Partial Differential Equations, November 2023. doi:10.1007/s00526-023-02613-4.

  $\bullet $ Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld. An efficient Monte Carlo scheme for Zakai equations. Communications in Nonlinear Science and Numerical Simulation, 126:107438, November 2023. doi:10.1016/j.cnsns.2023.107438.

  $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian $K$-theory for stable ∞-categories I: Foundations. Selecta Mathematica. New Series, 29(1):Paper No. 10, 269, November 2023. doi:10.1007/s00029-022-00758-2.

  $\bullet $ Anne Bernand-Mantel, Anaïs Fondet, Sarah Barnova, Theresa M. Simon, and Cyrill B. Muratov. Theory of magnetic field stabilized compact skyrmions in thin-film ferromagnets. Physical Review B, 108(16):L161405, October 2023. doi:10.1103/physrevb.108.l161405.

  $\bullet $ Becky Armstrong, Nathan Brownlowe, and Aidan Sims. Simplicity of twisted c$^\ast $-algebras of Deaconu–Renault groupoids. Journal of Noncommutative Geometry, 18(1):265–312, October 2023. doi:10.4171/JNCG/527.

  $\bullet $ Claudius Heyer. The left adjoint of derived parabolic induction. Mathematische Zeitschrift, October 2023. doi:10.1007/s00209-023-03385-5.

  $\bullet $ Anna Gusakova, Johannes Heiny, and Christoph Thäle. The volume of random simplices from elliptical distributions in high dimension. Stochastic Processes and their Applications, 164:357–382, October 2023. doi:10.1016/j.spa.2023.07.012.

  $\bullet $ Anna Gusakova, Matthias Reitzner, and Christoph Thäle. Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon. Annales Henri Lebesgue, 6:875–906, October 2023. doi:10.5802/ahl.180.

  $\bullet $ Zakhar Kabluchko. An identity for the coefficients of characteristic polynomials of hyperplane arrangements. Discrete &; Computational Geometry, 70(4):1476–1498, October 2023. doi:10.1007/s00454-023-00577-y.

  $\bullet $ Markus Land, Thomas Nikolaus, and Marco Schlichting. L-theory of $C^*$-algebras. Proceedings of the London Mathematical Society, 127(5):1451–1506, October 2023. doi:10.1112/plms.12564.

  $\bullet $ Kieu Hieu Nguyen. Un cas PEL de la conjecture de Kottwitz. Annales de l’Institut Fourier, 73(6):2239–2304, October 2023. doi:10.5802/aif.3577.

  $\bullet $ Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, and Jacqui Ramagge. The local bisection hypothesis for twisted groupoid c*-algebras. Semigroup Forum, 107(3):609–623, October 2023. doi:10.1007/s00233-023-10392-9.

  $\bullet $ Jeremy Hoskins and Zakhar Kabluchko. Dynamics of zeroes under repeated differentiation. Experimental Mathematics, 32(4):573–599, October 2023. doi:10.1080/10586458.2021.1980752.

  $\bullet $ Estefania Loayza-Romero and Roland Herzog. A discretize-then-optimize approach to PDE-constrained shape optimization. ESAIM: Control, Optimisation and Calculus of Variations, October 2023. doi:10.1051/cocv/2023071.

  $\bullet $ Lukas Renelt, Christian Engwer, and Mario Ohlberger. An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. In Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, and Laurent Navoret, editors, Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, 289–298. Springer Nature Switzerland, October 2023. doi:10.1007/978-3-031-40860-1_30.

  $\bullet $ Arnulf Jentzen and Timo Welti. Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation. Applied Mathematics and Computation, 455:127907, October 2023. doi:10.1016/j.amc.2023.127907.

  $\bullet $ Martin Huesmann, Francesco Mattesini, and Dario Trevisan. Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus. Stochastic Processes and their Applications, 155:1–26, October 2023. doi:10.1016/j.spa.2022.09.008.

  $\bullet $ Robin Bartlett. Potential diagonalisability of pseudo-Barsotti–Tate representations. Journal de Théorie des Nombres de Bordeaux, 35(2):335–371, October 2023. doi:10.5802/jtnb.1248.

  $\bullet $ Samuel Evington and Sergio Girón Pacheco. Anomalous symmetries of classifiable $\mathsf C^*$-algebras. Studia Mathematica, 270:73–101, October 2023. doi:10.4064/sm220117-25-6.

  $\bullet $ Alcides Buss and Diego Martínez. Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids. Advances in Mathematics, 431:109251, October 2023. doi:10.1016/j.aim.2023.109251.

  $\bullet $ Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, and Gregor J. Gassner. Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. ACM Transactions on Mathematical Software, 49(4):1–30, September 2023. doi:10.1145/3625559.

  $\bullet $ Peter Schneider and Otmar Venjakob. Compairing categories of Lubin–Tate $(\varphi _l,\gamma _l)$-modules. Results in Mathematics, September 2023. doi:10.1007/s00025-023-01998-0.

  $\bullet $ Christian Himpe. Emgr – empirical gramian framework version 5.99. Transactions of the American Mathematical Society, 49(3):1–8, September 2023. doi:10.1145/3609860.

  $\bullet $ Bernadette Hahn and Benedikt Wirth. Convex reconstruction of moving particles with inexact motion model. PAMM, September 2023. doi:10.1002/pamm.202300054.

  $\bullet $ Alexander F. Jercher, Sebastian Steinhaus, and Johannes Thürigen. Curvature effects in the spectral dimension of spin foams. Physical Review D, September 2023. doi:10.1103/physrevd.108.066011.

  $\bullet $ Zakhar Kabluchko and David Albert Steigenberger. $r$-Lah distribution: Properties, limit theorems and an application to compressed sensing. Advances in Applied Mathematics, 150:102575, September 2023. doi:10.1016/j.aam.2023.102575.

  $\bullet $ Gerold Alsmeyer, Alin Bostan, Kilian Raschel, and Thomas Simon. Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. Advances in Applied Mathematics, 150:102555, September 2023. doi:10.1016/j.aam.2023.102555.

  $\bullet $ Tamir Hemo, Timo Richarz, and Jakob Scholbach. Constructible sheaves on schemes. Advances in Mathematics, 429:109179, September 2023. doi:10.1016/j.aim.2023.109179.

  $\bullet $ Kang Li, Federico Vigolo, and Jiawen Zhang. A Markovian and Roe-algebraic approach to asymptotic expansion in measure. Banach Journal of Mathematical Analysis, 17(4):74, September 2023. doi:10.1007/s43037-023-00297-8.

  $\bullet $ Antoine Pauthier, Jens D. M. Rademacher, and Dennis Ulbrich. Weak and strong interaction of excitation kinks in scalar parabolic equations. Journal of Dynamics and Differential Equations, 35(3):2199–2235, September 2023. doi:10.1007/s10884-021-10040-2.

  $\bullet $ Sergio Conti, Adriana Garroni, and Roberta Marziani. Line-tension limits for line singularities and application to the mixed-growth case. Calculus of Variations and Partial Differential Equations, 62(8):228, September 2023. doi:10.1007/s00526-023-02552-0.

  $\bullet $ Marco Cicalese, Leonard Kreutz, and Gian Paolo Leonardi. Emergence of Wulff-crystals from atomistic systems on the FCC and HCP lattices. Communications in Mathematical Physics, 402(3):2931–2978, September 2023. doi:10.1007/s00220-023-04788-5.

  $\bullet $ Xavier Pellet, Lucia Scardia, and Caterina Ida Zeppieri. Stochastic homogenisation of free-discontinuity functionals in randomly perforated domains. Advances in Calculus of Variations, 17(3):643–671, August 2023. doi:10.1515/acv-2022-0052.

  $\bullet $ Martin Huesmann, Francesco Mattesini, and Felix Otto. There is no stationary cyclically monotone Poisson matching in 2d. Probability Theory and Related Fields, 187(3-4):629–656, August 2023. doi:10.1007/s00440-023-01225-5.

  $\bullet $ Florian Besau, Anna Gusakova, Matthias Reitzner, Carsten Schütt, Christoph Thäle, and Elisabeth M. Werner. Spherical convex hull of random points on a wedge. Mathematische Annalen, 389(3):2289–2316, August 2023. doi:10.1007/s00208-023-02704-9.

  $\bullet $ Tim Keil and Stephan Rave. An online efficient two-scale reduced basis approach for the localized orthogonal decomposition. SIAM Journal on Scientific Computing, 45(4):A1491–A1518, August 2023. doi:10.1137/21M1460016.

  $\bullet $ Tim Erdbrügger, Andreas Westhoff, Malte Höltershinken, Jan-Ole Radecke, Yvonne Buschermöhle, Alena Buyx, Fabrice Wallois, Sampsa Pursiainen, Joachim Gross, Rebekka Lencer, Christian Engwer, and Carsten Wolters. CutFEM forward modeling for EEG source analysis. Frontiers in Human Neuroscience, August 2023. doi:10.3389/fnhum.2023.1216758.

  $\bullet $ Johannes Branahl and Alexander Hock. Complete solution of the LSZ model via topological recursion. Communications in Mathematical Physics, 401(3):2845–2899, August 2023. doi:10.1007/s00220-023-04702-z.

  $\bullet $ Lisa Beck, Eleonora Cinti, and Christian Seis. Optimal regularity of isoperimetric sets with Hölder densities. Calculus of Variations and Partial Differential Equations, 62(8):214, August 2023. doi:10.1007/s00526-023-02542-2.

  $\bullet $ Becky Armstrong, Kevin Aguyar Brix, Toke Meier Carlsen, and Søren Eilers. Conjugacy of local homeomorphisms via groupoids and $\mathrm C^*$-algebras. Ergodic Theory and Dynamical Systems, 43(8):2516–2537, August 2023. doi:10.1017/etds.2022.50.

  $\bullet $ Corina Ciobotaru, Linus Kramer, and Petra Schwer. Polyhedral compactifications, I. Advances in Geometry, 23(3):413–436, August 2023. doi:10.1515/advgeom-2023-0018.

  $\bullet $ Zakhar Kabluchko, Alexander Marynych, and Kilian Raschel. Multivariate multiplicative functions of uniform random vectors in large integer domains. Results in Mathematics, 78(5):201, August 2023. doi:10.1007/s00025-023-01978-4.

  $\bullet $ Philipp Grohs, Shokhrukh Ibragimov, Arnulf Jentzen, and Sarah Koppensteiner. Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality. J. Complexity, 77:101746, 53 pp., August 2023. doi:10.1016/j.jco.2023.101746.

  $\bullet $ Annika Bach, Teresa Esposito, Roberta Marziani, and Caterina Ida Zeppieri. Gradient damage models for heterogeneous materials. SIAM Journal on Mathematical Analysis, 55(4):3567–3601, August 2023. doi:10.1137/22M1499145.

  $\bullet $ Stefan Hoffelner. Forcing the $\Pi _3^1$-reduction property and a failure of $\Pi _3^1$-uniformization. Annals of Pure and Applied Logic, 174(8):103292, August 2023. doi:10.1016/j.apal.2023.103292.

  $\bullet $ Yifei Zhao. Quantum parameters of the geometric Langlands theory. Selecta Mathematica, 29(4):66, August 2023. doi:10.1007/s00029-023-00868-5.

  $\bullet $ Jan Nienhaus, Peter Petersen, and Matthias Wink. Betti numbers and the curvature operator of the second kind. Journal of the London Mathematical Society, 108(4):1642–1668, July 2023. doi:10.1112/jlms.12790.

  $\bullet $ Martin Bays, Jan Dobrowolski, and Tingxiang Zou. Elekes-Szabó for groups, and approximate subgroups in weak general position. Discrete Anal., July 2023. doi:10.19086/da.77361.

  $\bullet $ Manuel Friedrich and Lennart Machill. One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams. Calculus of Variations and Partial Differential Equations, 62(7):190, July 2023. doi:10.1007/s00526-023-02525-3.

  $\bullet $ Carolyn R. Abbott, Sahana H Balasubramanya, and Alexander J. Rasmussen. Higher rank confining subsets and hyperbolic actions of solvable groups. Advances in Mathematics, 424:109045, July 2023. doi:10.1016/j.aim.2023.109045.

  $\bullet $ Annika Bach, Roberta Marziani, and Caterina Ida Zeppieri. Γ-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals. Calculus of Variations and Partial Differential Equations, 62(7):199, July 2023. doi:10.1007/s00526-023-02540-4.

  $\bullet $ Fridolin Melong and Raimar Wulkenhaar. Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra. Journal of Mathematical Physics, 64(7):073505, July 2023. doi:10.1063/5.0150975.

  $\bullet $ Víctor Navarro-Fernández and André Schlichting. Error estimates for a finite volume scheme for advection–diffusion equations with rough coefficients. ESAIM: Mathematical Modelling and Numerical Analysis, 57(4):2131–2158, July 2023. doi:10.1051/m2an/2023035.

  $\bullet $ Gianluca Favre, Marlies Pirner, and Christian Schmeiser. Hypocoercivity and reaction-diffusion limit for a nonlinear generation-recombination model. Archive for Rational Mechanics and Analysis, 247(4):72, July 2023. doi:10.1007/s00205-023-01902-8.

  $\bullet $ David Kerr and Robin Tucker-Drob. Dynamical alternating groups, stability, property Gamma, and inner amenability. Annales scientifiques de l'École Normale Supérieure, 56(1):59–90, July 2023. doi:10.24033/asens.2528.

  $\bullet $ Friedrich Götze, Zakhar Kabluchko, and Dmitry Zaporozhets. Grassmann angles and absorption probabilities of Gaussian convex hulls. Journal of Mathematical Sciences, 273(5):738–754, July 2023. doi:10.1007/s10958-023-06537-4.

  $\bullet $ Johannes Ebert. Diffeomorphisms of odd-dimensional discs, glued into a manifold. Algebraic & Geometric Topology, 23(5):2329–2345, July 2023. doi:10.2140/agt.2023.23.2329.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations. J. Numer. Math., 31(2):1–28, July 2023. doi:10.1515/jnma-2021-0111.

  $\bullet $ Lucas Mann and Annette Werner. Local systems on diamonds and $p$-adic vector bundles. International Mathematics Research Notices, 2023(15):12785–12850, July 2023. doi:10.1093/imrn/rnac182.

  $\bullet $ Dan Segal and Katrin Tent. Defining $R$ and $G(R)$. Journal of the European Mathematical Society, 25(8):3325–3358, June 2023. doi:10.4171/jems/1255.

  $\bullet $ Julia Schleuß, Kathrin Smetana, and Lukas ter Maat. Randomized Quasi-Optimal Local Approximation Spaces in Time. SIAM Journal on Scientific Computing, 45(3):A1066–A1096, June 2023. doi:10.1137/22M1481002.

  $\bullet $ Jan Nienhaus, Peter Petersen, Matthias Wink, and William Wylie. Holonomy restrictions from the curvature operator of the second kind. Differential Geometry and its Applications, 88:102010, June 2023. doi:10.1016/j.difgeo.2023.102010.

  $\bullet $ Andrea Papini, Franco Flandoli, and Ruojun Huang. Turbulence enhancement of coagulation: The role of eddy diffusion in velocity. Physica D: Nonlinear Phenomena, 448:133726, June 2023. doi:10.1016/j.physd.2023.133726.

  $\bullet $ Roberta Marziani. Γ-convergence and stochastic homogenisation of phase-transition functionals. ESAIM: Control, Optimisation and Calculus of Variations, 29:44, June 2023. doi:10.1051/cocv/2023030.

  $\bullet $ Simone Cecchini, Daniel Räde, and Rudolf Zeidler. Nonnegative scalar curvature on manifolds with at least two ends. Journal of Topology, 16(3):855–876, June 2023. doi:10.1112/topo.12303.

  $\bullet $ Philip Dittmann, Franziska Jahnke, Lothar Sebastian Krapp, and Salma Kuhlmann. Definable valuations on ordered fields. Model Theory, 2(1):101–120, June 2023. doi:10.2140/mt.2023.2.101.

  $\bullet $ Simon André and Katrin Tent. Simple sharply 2-transitive groups. Transactions of the American Mathematical Society, 376(06):3965–3993, June 2023. doi:10.1090/tran/8846.

  $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro F. Ramírez, and Santiago Saglietti. Quenched and averaged large deviations for random walks in random environments: The impact of disorder. The Annals of Applied Probability, 33(3):2210–2246, June 2023. doi:10.1214/22-AAP1864.

  $\bullet $ Christoph Böhm and Megan M. Kerr. Homogeneous Einstein metrics and butterflies. Annals of Global Analysis and Geometry, 63(4):92, June 2023. doi:10.1007/s10455-023-09905-0.

  $\bullet $ Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler, and Tizian Wenzel. A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. SIAM J. Sci. Comput., pages A1039–A1065, June 2023. doi:10.1137/22M1493318.

  $\bullet $ Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, and Benno Kuckuck. An overview on deep learning-based approximation methods for partial differential equations. Discrete and Continuous Dynamical Systems - B, 28(6):3697–3746, June 2023. doi:10.3934/dcdsb.2022238.

  $\bullet $ David I. Ketcheson and Hendrik Ranocha. Computing with B-series. ACM Transactions on Mathematical Software, 49(2):13:1–13:23, June 2023. doi:10.1145/3573384.

  $\bullet $ Kang Li, Federico Vigolo, and Jiawen Zhang. Asymptotic expansion in measure and strong ergodicity. Journal of Topology and Analysis, 15(02):361–399, June 2023. doi:10.1142/S1793525321500278.

  $\bullet $ Lucas Mann. Normal and irreducible adic spaces, the openness of finite morphisms, and a Stein factorization. Nagoya Mathematical Journal, 250:498–510, June 2023. doi:10.1017/nmj.2022.40.

  $\bullet $ Stefan Hoffelner, Paul Larson, Ralf Schindler, and Liuzhen Wu. Forcing axioms and definability of the nonstationary ideal on ω1. The Journal of Symbolic Logic, pages 1–21, June 2023. doi:10.1017/jsl.2023.40.

  $\bullet $ Antonio Esposito, Francesco Saverio Patacchini, and André Schlichting. On a class of nonlocal continuity equations on graphs. European Journal of Applied Mathematics, 158(2):109–126, May 2023. doi:10.1017/S0956792523000128.

  $\bullet $ Jörg Schürmann and Raimar Wulkenhaar. An algebraic approach to a quartic analogue of the Kontsevich model. Mathematical Proceedings of the Cambridge Philosophical Society, 174(3):471–495, May 2023. doi:10.1017/S0305004122000366.

  $\bullet $ Christian Himpe and Sara Grundel. System order reduction for gas and energy networks. Proceedings in Applied Mathematics and Mechanics, May 2023. doi:10.1002/pamm.202200201.

  $\bullet $ Franco Flandoli and Ruojun Huang. Noise based on vortex structures in 2D and 3D. Journal of Mathematical Physics, 64(5):053101, May 2023. doi:10.1063/5.0128120.

  $\bullet $ Gustav Holzegel and Arick Shao. The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes. Archive for Rational Mechanics and Analysis, 247(3):56, May 2023. doi:10.1007/s00205-023-01890-9.

  $\bullet $ Martin Hils and Rosario Mennuni. Some definable types that cannot be amalgamated. Mathematical Logic Quarterly, 69(1):46–49, May 2023. doi:10.1002/malq.202200046.

  $\bullet $ Martin Bays, Jan Dobrowolski, and Tingxiang Zou. Elekes-Szabó for groups, and approximate subgroups in weak general position. Discrete Analysis, pages 28, May 2023. doi:10.19086/da.773610.

  $\bullet $ Ajay Chandra, Augustin Moinat, and Hendrik Weber. A priori bounds for the $\Phi ^4$ equation in the full sub-critical regime. Archive for Rational Mechanics and Analysis, 247(3):48, May 2023. doi:10.1007/s00205-023-01876-7.

  $\bullet $ Eugen Hellmann. On the derived category of the Iwahori–Hecke algebra. Compositio Mathematica, 159(5):1042–1110, May 2023. doi:10.1112/S0010437X23007145.

  $\bullet $ Gerold Alsmeyer and Alexander Iksanov. Recurrence and transience of random difference equations in the critical case. Annales de l'Institut Henri Poincaré. Probabilités et Statistiques, 59(2):606–620, May 2023. doi:10.1214/22-AIHP1274.

  $\bullet $ Christian Seis. Bounds on the rate of enhanced dissipation. Comm. Math. Phys., 399(3):2071–2081, May 2023. doi:10.1007/s00220-022-04588-3.

  $\bullet $ Peter Schneider and Konstantin Ardakov. The Bernstein center in natural characteristic. Proc. Steklov Inst. Math., 320:1–20, May 2023. doi:10.4213/tm4254.

  $\bullet $ Mara Guastini, Marko Rajković, Martin Rumpf, and Benedikt Wirth. The variational approach to the flow of Sobolev-diffeomorphisms model. In Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, and Matteo Santacesaria, editors, Scale Space and Variational Methods in Computer Vision, Lecture Notes in Computer Science, 551–564. Springer International Publishing, May 2023. doi:10.1007/978-3-031-31975-4_42.

  $\bullet $ Jay Shah. Parametrized higher category theory. Algebraic & Geometric Topology, 23(2):509–644, May 2023. doi:10.2140/agt.2023.23.509.

  $\bullet $ Hossein Lamei Ramandi. On the rigidity of Souslin trees and their generic branches. Archive for Mathematical Logic, 62(3):419–426, May 2023. doi:10.1007/s00153-022-00843-5.

  $\bullet $ Sebastian Becker, Benjamin Gess, Arnulf Jentzen, and Peter E. Kloeden. Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Stochastics and Partial Differential Equations: Analysis and Computations, 11(1):211–268, April 2023. doi:10.1007/s40072-021-00226-6.

  $\bullet $ Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis, and Johannes Thürigen. Mean-field phase transitions in tensorial group field theory quantum gravity. Phys. Rev. Lett., 130(14):141501, April 2023. doi:10.1103/PhysRevLett.130.141501.

  $\bullet $ Franziska Jahnke. Henselian expansions of NIP fields. Journal of Mathematical Logic, April 2023. doi:10.1142/s021906132350006x.

  $\bullet $ Julian Kranz. The weak containment problem for étale groupoids which are strongly amenable at infinity. J. Operator Theory, 89(2):349–360, April 2023. doi:10.7900/jot.2021aug20.2358.

  $\bullet $ Aaron C. Naber, André A. Neves, and Burkhard Wilking. Geometrie. Oberwolfach Reports, 19(2):1551–1601, April 2023. doi:10.4171/owr/2022/28.

  $\bullet $ Philipp Grohs, Fabian Hornung, Arnulf Jentzen, and Philippe von Wurstemberger. A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black–Scholes partial differential equations. Memoirs of the American Mathematical Society, April 2023. doi:10.1090/memo/1410.

  $\bullet $ Matthias Ruf and Caterina Ida Zeppieri. Stochastic homogenization of degenerate integral functionals with linear growth. Calculus of Variations and Partial Differential Equations, 62(4):138, April 2023. doi:10.1007/s00526-023-02476-9.

  $\bullet $ Angkana Rüland and Theresa M. Simon. On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation. Journal of Elasticity, 153(3):455–475, April 2023. doi:10.1007/s10659-023-10011-2.

  $\bullet $ Volker Branding and Anna Siffert. On $p$-harmonic self-maps of spheres. Calculus of Variations and Partial Differential Equations, 62(4):139, April 2023. doi:10.1007/s00526-023-02481-y.

  $\bullet $ Gi-Chan Bae, Christian Klingenberg, Marlies Pirner, and Seok-Bae Yun. BGK model for two-component gases near a global Maxwellian. SIAM Journal on Mathematical Analysis, 55(2):1007–1047, April 2023. doi:10.1137/22M1469535.

  $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro F. Ramírez, and Santiago Saglietti. The effect of disorder on quenched and averaged large deviations for random walks in random environments: Boundary behavior. Stochastic Processes and their Applications, 158:208–237, April 2023. doi:10.1016/j.spa.2023.01.003.

  $\bullet $ Thomas Godland and Zakhar Kabluchko. Projections and angle sums of belt polytopes and permutohedra. Results in Mathematics, 78(4):140, April 2023. doi:10.1007/s00025-023-01918-2.

  $\bullet $ Alexander Hock, Harald Grosse, and Raimar Wulkenhaar. A Laplacian to compute intersection numbers on $\mathcal M$ and correlation functions in NCQFT. Comm. Math. Phys., 399(1):481–517, April 2023. doi:10.1007/s00220-022-04557-w.

  $\bullet $ Ben Heuer, Lucas Mann, and Annette Werner. The $p$-adic Corlette–Simpson correspondence for abeloids. Mathematische Annalen, 385(3):1639–1676, April 2023. doi:10.1007/s00208-022-02371-2.

  $\bullet $ Sylvy Anscombe and Franziska Jahnke. The model theory of Cohen rings. Confluentes Mathematici, 14(2):1–28, March 2023. doi:10.5802/cml.84.

  $\bullet $ Konstantin Ardakov and Peter Schneider. The Bernstein Centre in Natural Characteristic. Proc. Steklov Inst. Math., 320(1):1–20, March 2023. doi:10.1134/s0081543823010017.

  $\bullet $ Christopher Deninger. A Pro-algebraic Fundamental Group for Topological Spaces. Proc. Steklov Inst. Math., 320(1):62–90, March 2023. doi:10.1134/S0081543823010054.

  $\bullet $ Alexander Bertoloni Meli and Kieu Hieu Nguyen. The Kottwitz conjecture for unitary PEL-type Rapoport–Zink spaces. Journal für die reine und angewandte Mathematik (Crelles Journal), 2023(796):1–68, March 2023. doi:10.1515/crelle-2022-0077.

  $\bullet $ Beomjun Choi, Robert J. McCann, and Christian Seis. Correction to: Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Archive for Rational Mechanics and Analysis, 247(2):28, March 2023. doi:10.1007/s00205-023-01866-9.

  $\bullet $ Simone Cecchini and Rudolf Zeidler. Scalar curvature and generalized Callias operators. In Perspectives in Scalar Curvature, pages 515–542. World Scientific, March 2023. doi:10.1142/9789811273223_0002.

  $\bullet $ David Asperó and Ralf Schindler. Wieviele reelle Zahlen gibt es? Mathematische Semesterberichte, 70(1):1–15, March 2023. doi:10.1007/s00591-022-00331-0.

  $\bullet $ Ilijas Farah, Ralf-Dieter Schindler, Dima Sinapova, and W. Hugh Woodin. Set theory. Oberwolfach Reports, 19(1):79–106, March 2023. doi:10.4171/owr/2022/2.

  $\bullet $ David Kerr and Hanfeng Li. Entropy, products, and bounded orbit equivalence. Ergodic Theory and Dynamical Systems, 43(3):904–942, March 2023. doi:10.1017/etds.2021.154.

  $\bullet $ Boris Botvinnik and Johannes Ebert. Positive scalar curvature and homotopy theory. In Perspectives in Scalar Curvature, pages 83–157. World Scientific, March 2023. doi:10.1142/9789811273230_0003.

  $\bullet $ Peter Schneider and Claus Sorensen. Duals and admissibility in natural characteristic. Representation Theory of the American Mathematical Society, 27(02):30–50, March 2023. doi:10.1090/ert/634.

  $\bullet $ Gabriel Goldberg and Farmer Schlutzenberg. Periodicity in the cumulative hierarchy. Journal of the European Mathematical Society, March 2023. doi:10.4171/jems/1318.

  $\bullet $ Martin R. Bridson, Cornelia Druţu Badea, Linus Kramer, and Bertrand Rémy. Geometric structures in group theory. Oberwolfach Reports, 19(1):517–576, March 2023. doi:10.4171/owr/2022/11.

  $\bullet $ Klaus Altmann, Amelie Flatt, and Lutz Hille. Extensions of toric line bundles. Mathematische Zeitschrift, 304(1):3, March 2023. doi:10.1007/s00209-023-03206-9.

  $\bullet $ Joachim Cuntz and Mikael Rørdam. Erinnerungen an Eberhard Kirchberg. Mitteilungen der Deutschen Mathematiker-Vereinigung, 31(1):52–55, March 2023. doi:10.1515/dmvm-2023-0017.

  $\bullet $ Olivier Biquard and Hans-Joachim Hein. The renormalized volume of a 4-dimensional Ricci-flat ALE space. Journal of Differential Geometry, 123(3):411–429, March 2023. doi:10.4310/jdg/1683307004.

  $\bullet $ Julian Kranz. Amenability for actions of étale groupoids on $\mathrm C^\ast $-algebras and Fell bundles. Trans. Amer. Math. Soc., March 2023. doi:10.1090/tran/8909.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. Strong overall error analysis for the training of artificial neural networks via random initializations. Commun. Math. Stat., pages 50, March 2023. doi:10.1007/s40304-022-00292-9.

  $\bullet $ Simon Eberle, Arnulf Jentzen, Adrian Riekert, and Georg S. Weiss. Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation. Electron. Res. Arch., 31(5):2519–2554, March 2023. doi:10.3934/era.2023128.

  $\bullet $ Kieu Hieu Nguyen and Eva Viehmann. A Harder-Narasimhan stratification of the $B^+$$_d$$_R$-Grassmannian. Compositio Mathematica, 159(4):711–745, March 2023. doi:10.1112/S0010437X23007066.

  $\bullet $ Damien Junger. Cohomologie analytique des arrangements d’hyperplans. Algebra & Number Theory, 17(1):1–43, March 2023. doi:10.2140/ant.2023.17.1.

  $\bullet $ Antonin Chambolle and Leonard Kreutz. Crystallinity of the homogenized energy density of periodic lattice systems. Multiscale Modeling & Simulation, 21(1):34–79, March 2023. doi:10.1137/21M1442073.

  $\bullet $ Chiara D'Onofrio and Caterina Ida Zeppieri. Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153(2):491–544, February 2023. doi:10.1017/prm.2022.3.

  $\bullet $ Joachim Cuntz. The image of Bott periodicity in cyclic homology. In Cyclic Cohomology at 40: Achievements and Future Prospects, volume 105 of Proc. Sympos. Pure Math., pages 123–134. Amer. Math. Soc., Providence, RI, February 2023. doi:10.1090/pspum/105/06.

  $\bullet $ Tim Hahn, Hamidreza Jamalabadi, Erfan Nozari, Nils R Winter, Jan Ernsting, Marius Gruber, Marco J Mauritz, Pascal Grumbach, Lukas Fisch, Ramona Leenings, Kelvin Sarink, Julian Blanke, Leon Kleine Vennekate, Daniel Emden, Nils Opel, Dominik Grotegerd, Verena Enneking, Susanne Meinert, Tiana Borgers, Melissa Klug, Elisabeth J Leehr, Katharina Dohm, Walter Heindel, Joachim Gross, Udo Dannlowski, Ronny Redlich, and Jonathan Repple. Towards a network control theory of electroconvulsive therapy response. PNAS Nexus, February 2023. doi:10.1093/pnasnexus/pgad032.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation IV: mixing properties and central limit theorems. Stochastics and Dynamics, February 2023. doi:10.1142/s0219493723500211.

  $\bullet $ Caroline Geiersbach, Estefania Loayza-Romero, and Kathrin Welker. Pde-constrained shape optimization: Toward product shape spaces and stochastic models. In Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging, pages 1585–1630. Springer International Publishing, February 2023. doi:10.1007/978-3-030-98661-2_120.

  $\bullet $ Stephan Luckhaus and Angela Stevens. A free boundary problem-in time-for the spread of Covid-19. Journal of Mathematical Biology, 86(3):45, February 2023. doi:10.1007/s00285-023-01881-0.

  $\bullet $ Becky Armstrong, Gilles G de Castro, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, Jacqui Ramagge, Aidan Sims, and Benjamin Steinberg. Reconstruction of twisted Steinberg algebras. International Mathematics Research Notices, 2023(3):2474–2542, February 2023. doi:10.1093/imrn/rnab291.

  $\bullet $ Gerold Alsmeyer, Sara Brofferio, and Dariusz Buraczewski. Asymptotically linear iterated function systems on the real line. The Annals of Applied Probability, 33(1):161–199, February 2023. doi:10.1214/22-AAP1812.

  $\bullet $ Christoph Böhm and Ramiro A. Lafuente. Non-compact Einstein manifolds with symmetry. J. Amer. Math. Soc., 36(3):591–651, February 2023. doi:10.1090/jams/1022.

  $\bullet $ Farmer Schlutzenberg. The definability of $\mathbb E$ in self-iterable mice. Annals of Pure and Applied Logic, 174(2):Paper No. 103208, 59, February 2023. doi:10.1016/j.apal.2022.103208.

  $\bullet $ Takfarinas Medani, Juan Garcia-Prieto, Francois Tadel, Marios Antonakakis, Tim Erdbrügger, Malte Höltershinken, Wayne Mead, Sophie Schrader, Anand Joshi, Christian Engwer, Carsten H. Wolters, John C. Mosher, and Richard M. Leahy. Brainstorm-DUNEuro: An integrated and user-friendly finite element method for modeling electromagnetic brain activity. NeuroImage, 267:119851, February 2023. doi:10.1016/j.neuroimage.2022.119851.

  $\bullet $ Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis, and Johannes Thürigen. Phase transitions in TGFT: A Landau-Ginzburg analysis of Lorentzian quantum geometric models. Journal of High Energy Physics, 2023(2):74, February 2023. doi:10.1007/JHEP02(2023)074.

  $\bullet $ Thorben Kastenholz and Jens Reinhold. Simplicial volume and essentiality of manifolds fibered over spheres. Journal of Topology, 16(1):192–206, February 2023. doi:10.1112/topo.12286.

  $\bullet $ Beomjun Choi, Robert J. McCann, and Christian Seis. Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. Archive for Rational Mechanics and Analysis, 247(2):16, February 2023. doi:10.1007/s00205-023-01850-3.

  $\bullet $ Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz, and Shintaro Nishikawa. K-theory of noncommutative bernoulli shifts. Mathematische Annalen, 388(3):2671–2703, February 2023. doi:10.1007/s00208-023-02587-w.

  $\bullet $ Frederic Weber and Rico Zacher. Li–Yau inequalities for general non-local diffusion equations via reduction to the heat kernel. Mathematische Annalen, 385(1):393–419, February 2023. doi:10.1007/s00208-021-02350-z.

  $\bullet $ T. Herzing, C. Klingenberg, and M. Pirner. Hypocoercivity of the linearized BGK equation with stochastic coefficients. Methods and Applications of Analysis, 30(3):113–128, 2023. doi:10.4310/maa.2023.v30.n3.a2.

  $\bullet $ Gunnar Birke, Christian Engwer, Sandra May, and Florian Streitbürger. Domain of Dependence Stabilization for the Acoustic Wave Equation on 2D Cut-Cell Meshes, pages 53–61. Volume 433. Springer Nature Switzerland, 2023. doi:10.1007/978-3-031-40860-1_6.

  $\bullet $ Olivier Graf and Gustav Holzegel. Mode stability results for the Teukolsky equations on Kerr–anti-de Sitter spacetimes. Classical and Quantum Gravity, 40(4):045003, January 2023. doi:10.1088/1361-6382/acb0ac.

  $\bullet $ Jens Niklas Eberhardt and Jakob Scholbach. Integral motivic sheaves and geometric representation theory. Advances in Mathematics, 412:108811, January 2023. doi:10.1016/j.aim.2022.108811.

  $\bullet $ Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe, and Alexander Marynych. When does the chaos in the Curie-Weiss model stop to propagate? Electronic Journal of Probability, January 2023. doi:10.1214/23-ejp1039.

  $\bullet $ Stephan Luckhaus and Angela Stevens. A two level contagion process and its deterministic McKendrick limit with relevance for the Covid epidemic. Ensaios Matemáticos, 2023. doi:10.21711/217504322023/em3813.

  $\bullet $ M.; Banholzer Ohlberger, S.; Haasdonk, B.; Keil, Kleikamp T., H.; Mechelli, L.; Oguntola, M, and Schindler andF.; Volkwein, S.; Wenzel, and T. Model reduction and learning for PDE constrained optimization. Oberwolfach Reports, 2023.

  $\bullet $ Rufat Badal, Manuel Friedrich, and Martin Kružík. Nonlinear and linearized models in thermoviscoelasticity. Archive for Rational Mechanics and Analysis, 247(1):5, January 2023. doi:10.1007/s00205-022-01834-9.

  $\bullet $ Ruojun Huang. Scaling limit for a second-order particle system with local annihilation. Electronic Journal of Probability, 28:1–31, January 2023. doi:10.1214/23-EJP973.

  $\bullet $ Steffen Dereich and Sebastian Kassing. Central limit theorems for stochastic gradient descent with averaging for stable manifolds. Electronic Journal of Probability, 28:1–48, January 2023. doi:10.1214/23-EJP947.

  $\bullet $ Arthur Bartels and Wolfgang Lück. On the algebraic $\mathrm K$-theory of Hecke algebras. In Mathematics Going Forward, Lecture Notes in Mathematics, pages 241–277. Springer International Publishing, January 2023. doi:10.1007/978-3-031-12244-6_19.

  $\bullet $ Stephan Luckhaus and Angela Stevens. Kermack and McKendrick models on a two-scale network and connections to the Boltzmann equations. In Jean-Michel Morel and Bernard Teissier, editors, Mathematics Going Forward, Lecture Notes in Mathematics, pages 417–427. Springer International Publishing, January 2023. doi:10.1007/978-3-031-12244-6_29.

  $\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and exceptional isomorphisms between unitary groups. Journal of Lie Theory, 33(1):329–360, January 2023. URL: www.heldermann.de/JLT/JLT33/JLT331/jlt33015.htm.

  $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. The surface group conjectures for groups with two generators. Mathematical Research Letters, 30(1):109–123, January 2023. doi:10.4310/MRL.2023.v30.n1.a5.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Julian Kranz, and Petr Naryshkin. Classifiability of crossed products by nonamenable groups. J. Reine Angew. Math., 797(4565952):285–312, march 2023. doi:10.1515/crelle-2023-0012.

  $\bullet $ Joachim Lohkamp. The secret hyperbolic life of positive scalar curvature. In Perspectives in Scalar Curvature, volume 1, chapter 5, pages 611–642. World Scientific, January 2023. doi:10.1142/9789811273223_0005.

  $\bullet $ Robert Kropholler and Claudio Llosa Isenrich. Dehn functions of coabelian subgroups of direct products of groups. Journal of the London Mathematical Society, 107(1):123–152, January 2023. doi:10.1112/jlms.12682.

  $\bullet $ Roland Herzog and Estefanía Loayza-Romero. A manifold of planar triangular meshes with complete Riemannian metric. Mathematics of Computation, 92(339):1–50, January 2023. doi:10.1090/mcom/3775.

  $\bullet $ Jeffrey Haack, Cory D. Hauck, Christian F. Klingenberg, Marlies Pirner, and Sandra Warnecke. Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. Journal of Computational Physics, 473:Paper No. 111729, 29, January 2023. doi:10.1016/j.jcp.2022.111729.

  $\bullet $ Philipp Grohs, Fabian Hornung, Arnulf Jentzen, and Philipp Zimmermann. Space-time error estimates for deep neural network approximations for differential equations. Advances in Computational Mathematics, 49(1):4, January 2023. doi:10.1007/s10444-022-09970-2.

  $\bullet $ Volker Branding and Anna Siffert. On the equivariant stability of harmonic self-maps of cohomogeneity one manifolds. Journal of Mathematical Analysis and Applications, 517(2):Paper No. 126635, 19, January 2023. doi:10.1016/j.jmaa.2022.126635.

  $\bullet $ Christoph Aistleitner, Nina Gantert, Zakhar Kabluchko, Joscha Prochno, and Kavita Ramanan. Large deviation principles for lacunary sums. Transactions of the American Mathematical Society, 376(01):507–553, January 2023. doi:10.1090/tran/8788.

  $\bullet $ Becky Armstrong, Lisa Orloff Clark, and Astrid an Huef. Inclusions of c\ast -algebras of graded groupoids. Journal of Operator Theory, 89(1):287–301, January 2023. doi:10.7900/jot.2021aug26.2353.

  $\bullet $ Claudius Heyer. On the decomposition of Hecke polynomials over parabolic Hecke algebras. Journal de théorie des nombres de Bordeaux, 34(3):941–997, January 2023. doi:10.5802/jtnb.1235.

  $\bullet $ Robert Kropholler and Vladimir Vankov. Finitely generated groups acting uniformly properly on hyperbolic space. Groups, Geometry, and Dynamics, 17(1):101–109, January 2023. doi:10.4171/ggd/659.

  $\bullet $ João Lourenço. Grassmanniennes affines tordues sur les entiers. Forum of Mathematics, Sigma, 11:e12, January 2023. doi:10.1017/fms.2023.4.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation. J. Math. Anal. Appl., 517(2):126601, January 2023. doi:10.1016/j.jmaa.2022.126601.

  $\bullet $ Gideon Amir, Rangel Baldasso, Maria Gerasimova, and Gady Kozma. Fire retainment on Cayley graphs. Discrete Math., 346(1):113176, January 2023. doi:10.1016/j.disc.2022.113176.

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  2022

  $\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. From atomistic systems to linearized continuum models for elastic materials with voids. Nonlinearity, 36(1):679–733, December 2022. doi:10.1088/1361-6544/aca5de.

  $\bullet $ Víctor Navarro-Fernández, André Schlichting, and Christian Seis. Optimal stability estimates and a new uniqueness result for advection-diffusion equations. Pure Appl. Anal., 4(3):571–596, December 2022. doi:10.2140/paa.2022.4.571.

  $\bullet $ Fernando Lledó and Diego Martínez. A note on commutation relations and finite dimensional approximations. Expo. Math., 40(4):947–960, December 2022. doi:10.1016/j.exmath.2022.08.004.

  $\bullet $ Robert Kropholler and Federico Vigolo. A new construction of CAT(0) cube complexes. Algebr. Geom. Topol., 22(7):3327–3375, December 2022. doi:10.2140/agt.2022.22.3327.

  $\bullet $ Rufat Badal, Manuel Friedrich, and Joscha Seutter. Existence of quasi-static crack evolution for atomistic systems. Forces in Mechanics, 9:100138, December 2022. doi:10.1016/j.finmec.2022.100138.

  $\bullet $ Simon André. Co-Hopfian virtually free groups and elementary equivalence. Bull. Lond. Math. Soc., 54(6):2202–2218, December 2022. doi:10.1112/blms.12687.

  $\bullet $ Benjamin Antieau, Akhil Mathew, Matthew Morrow, and Thomas Nikolaus. On the Beilinson fiber square. Duke Math. J., 171(18):3707–3806, December 2022. doi:10.1215/00127094-2022-0037.

  $\bullet $ Yifei Zhao. Tannakian reconstruction of reductive group schemes. Pacific J. Math., 321(2):467–478, December 2022. doi:10.2140/pjm.2022.321.467.

  $\bullet $ Franco Flandoli, Andrea Papini, and Ruojun Huang. Turbulence Enhancement of Coagulation: The Role of Eddy Diffusion in Velocity. SSRN Electronic Journal, December 2022. doi:10.2139/ssrn.4291266.

  $\bullet $ Davide Torlo, Philipp Öffner, and Hendrik Ranocha. Issues with positivity-preserving Patankar-type schemes. Appl. Numer. Math., 182:117–147, December 2022. doi:10.1016/j.apnum.2022.07.014.

  $\bullet $ Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani, and David I. Ketcheson. Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics. Commun. Appl. Math. Comp., 4(4):1191–1228, December 2022. doi:10.1007/s42967-021-00159-w.

  $\bullet $ Matteo Perugini. Rigidity of Steiner’s inequality for the anisotropic perimeter. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, pages 1921–2001, December 2022. doi:10.2422/2036-2145.202011_002.

  $\bullet $ Aristotelis Panagiotopoulos and Katrin Tent. Universality vs genericity and $C_4$-free graphs. Eur. J. Comb., 106:103590, December 2022. doi:10.1016/j.ejc.2022.103590.

  $\bullet $ Manuel Landstorfer, Mario. Ohlberger, Stephan Rave, and Marie-Christin Tacke. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. Eur. J. Appl. Math., pages 1–38, November 2022. doi:10.1017/S0956792522000353.

  $\bullet $ Daniel Keppeler, Philip Möller, and Olga Varghese. Automatic continuity for groups whose torsion subgroups are small. J. Group Theory, 25(6):1017–1043, November 2022. doi:10.1515/jgth-2021-0105.

  $\bullet $ Tim Keil, Hendrik Kleikamp, Rolf J. Lorentzen, Micheal B. Oguntola, and Mario Ohlberger. Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. Advances in Computational Mathematics, 48(6):Paper No. 73, 35, November 2022. doi:10.1007/s10444-022-09981-z.

  $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Periods of Drinfeld modules and local Shtukas with complex multiplication -– erratum. Journal of the Institute of Mathematics of Jussieu, 21(6):2247–2251, November 2022. doi:10.1017/S1474748020000705.

  $\bullet $ Stefano Bruno, Benjamin Gess, and Hendrik Weber. Optimal regularity in time and space for stochastic porous medium equations. Ann. Probab., 50(6):2288–2343, November 2022. doi:10.1214/22-aop1583.

  $\bullet $ Amandine Escalier. Local-to-global-rigidity of lattices in $SL_n(\mathbb K)$. Annales de l'Institut Fourier, 72(5):1733–1771, November 2022. doi:10.5802/aif.3490.

  $\bullet $ Omar Mohsen. Index theorem for inhomogeneous hypoelliptic differential operators. Münster Journal of Mathematics, November 2022. doi:10.17879/21089693141.

  $\bullet $ Ben De Bondt, Andrea Vaccaro, Boban Veličković, and Alessandro Vignati. Games on AF-algebras. Int. Math. Res. Notices, pages rnac313, November 2022. doi:10.1093/imrn/rnac313.

  $\bullet $ Peter Schneider and Rachen Ollivier. On the pro-$p$ Iwahori Hecke Ext-algebra of SL$_2(\mathbb Q_p)$. Mémoires SMF, October 2022. doi:10.24033/msmf.483.

  $\bullet $ Angela Stevens and Michael Winkler. Taxis-driven persistent localization in a degenerate Keller-Segel system. Commun. Part. Diff. Eq., 47(12):2341–2362, October 2022. doi:10.1080/03605302.2022.2122836.

  $\bullet $ Linus Kramer. Some remarks on proper actions, proper metric spaces, and buildings. Adv. Geom., 22(4):541–559, October 2022. doi:10.1515/advgeom-2022-0018.

  $\bullet $ Hanne Hardering and Benedikt Wirth. Quartic $L^p$-convergence of cubic Riemannian splines. IMA J. Numer. Anal., 42(4):3360–3385, October 2022. doi:10.1093/imanum/drab077.

  $\bullet $ Stefan Banholzer, Tim Keil, Mario Ohlberger, Luca Mechelli, Felix Schindler, and Stefan Volkwein. An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. Pure Appl. Funct. Anal., 7(5):1561–1596, October 2022. URL: yokohamapublishers.jp/online2/oppafa/vol7/p1561.html.

  $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Partial $C^*$-dynamics and Rokhlin dimension. Ergod. Theor. Dyn. Syst., 42(10):2991–3024, October 2022. doi:10.1017/etds.2021.82.

  $\bullet $ Karl Heinrich Hofmann and Linus Kramer. On weakly complete universal enveloping algebras: a Poincaré-Birkhoff-Witt theorem. J. Lie Theory, 32(3):601–642, October 2022.

  $\bullet $ Julius Lohmann, Bernhard Schmitzer, and Benedikt Wirth. Duality in branched transport and urban planning. Appl. Math. Opt., 86(3):Paper No. 45, 32, October 2022. doi:10.1007/s00245-022-09927-3.

  $\bullet $ Stefan Czimek and Olivier Graf. The spacelike-characteristic Cauchy problem of general relativity in low regularity. Annals of PDE, 8(2):22, October 2022. doi:10.1007/s40818-022-00122-9.

  $\bullet $ Stefan Czimek and Olivier Graf. The canonical foliation on null hypersurfaces in low regularity. Annals of PDE, 8(2):23, October 2022. doi:10.1007/s40818-022-00124-7.

  $\bullet $ Athanasios Chatzikaleas and Arick Shao. A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes. Commun. Math. Phys., 395(2):521–570, October 2022. doi:10.1007/s00220-022-04434-6.

  $\bullet $ Yifei Zhao. Tannakian reconstruction of coalgebroids. In Stacks Project Expository Collection, pages 268–290. Cambridge University Press, October 2022. doi:10.1017/9781009051897.011.

  $\bullet $ Johannes Branahl, Alexander Hock, Harald Grosse, and Raimar Wulkenhaar. From scalar fields on quantum spaces to blobbed topological recursion. J. Phys. A: Math. Theor., 55(42):423001, October 2022. doi:10.1088/1751-8121/ac9260.

  $\bullet $ Beeker Benjamin, Matthew Cordes, Giles Gardam, Radhika Gupta, and Emily Stark. Cannon-Thurston maps for CAT(0) groups with isolated flats. Math. Ann., 384(1-2):963–987, October 2022. doi:10.1007/s00208-021-02245-z.

  $\bullet $ Steffen Dereich and Sebastian Kassing. Cooling down stochastic differential equations: Almost sure convergence. Stoch. Process. their Appl., 152:289–311, October 2022. doi:10.1016/j.spa.2022.06.020.

  $\bullet $ Adrian Riekert. Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances. Stat. Probab. Lett., 189:109605, October 2022. doi:10.1016/j.spl.2022.109605.

  $\bullet $ Rudolf Zeidler. Band width estimates via the Dirac operator. J. Differ. Geom., September 2022. doi:10.4310/jdg/1668186790.

  $\bullet $ Maneesh Thakur. Albert algebras and the Tits-Weiss conjecture. Trans. Amer. Math. Soc., 375(09):6075–6091, September 2022. doi:10.1090/tran/8744.

  $\bullet $ Petr Naryshkin. Polynomial growth, comparison, and the small boundary property. Adv. Math., 406:108519, September 2022. doi:10.1016/j.aim.2022.108519.

  $\bullet $ Achim Krause and Thomas Nikolaus. Bökstedt periodicity and quotients of DVRs. Compos. Math., 158(8):1683–1712, September 2022. doi:10.1112/s0010437x22007655.

  $\bullet $ Anna Gusakova, Evgeny Spodarev, and Dmitry Zaporozhets. Intrinsic volumes of ellipsoids. Zapiski Nauchnykh Seminarov POMI, 515(Veroyatnost'i Statistika. 33):121–140, September 2022.

  $\bullet $ Joren Brunekreef, Luca Lionni, and Johannes Thürigen. One-matrix differential reformulation of two-matrix models. Rev. Math. Phys., 34(8):2250026, September 2022. doi:10.1142/S0129055X2250026X.

  $\bullet $ Martin Brückerhoff, Martin Huesmann, and Nicolas Juillet. Shadow martingales – a stochastic mass transport approach to the peacock problem. Electron. J. Probab., 27:Paper No. 127, 62, September 2022. doi:10.1214/22-ejp846.

  $\bullet $ Anastas Baci, Zakhar Kabluchko, Joscha Prochno, Mathias Sonnleitner, and Christoph Thäle. Limit theorems for random points in a simplex. J. Appl. Probab., 59(3):685–701, September 2022. doi:10.1017/jpr.2021.77.

  $\bullet $ Ryo Asai and Jay Shah. Algorithmic canonical stratifications of simplicial complexes. J. Pure Appl. Algebra, 226(9):107051, September 2022. doi:10.1016/j.jpaa.2022.107051.

  $\bullet $ Becky Armstrong. A uniqueness theorem for twisted groupoid c∗-algebras. J. Funct. Anal., 283(6):109551, September 2022. doi:10.1016/j.jfa.2022.109551.

  $\bullet $ Cyrill B. Muratov and Theresa M. Simon. Correction to: A nonlocal isoperimetric problem with dipolar repulsion. Commun. Math. Phys., 394(3):1361–1362, September 2022. doi:10.1007/s00220-022-04426-6.

  $\bullet $ Georg Menz, André Schlichting, Wenpin Tang, and Tianqi Wu. Ergodicity of the infinite swapping algorithm at low temperature. Stoch. Process. Their Appl, 151:519–552, September 2022. doi:10.1016/j.spa.2022.06.015.

  $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Beta-star polytopes and hyperbolic stochastic geometry. Adv. Math., 404:108382, August 2022. doi:10.1016/j.aim.2022.108382.

  $\bullet $ Christian Klingenberg, Qin Li, and Marlies Pirner. Small collaboration: modeling phenomena from nature by hyperbolic partial differential equations. Oberwolfach Rep., 18(2):1047–1085, August 2022. doi:10.4171/owr/2021/19.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions. J. Mach. Learn. Res., 23(260):1–50, August 2022.

  $\bullet $ Philip Möller and Olga Varghese. Abstract group actions of locally compact groups on CAT(0) spaces. Groups Geom. Dyn., 16(3):863–887, August 2022. doi:10.4171/ggd/677.

  $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for the mean starting hitting time for a random walk on a random graph. J. Theor. Probab., August 2022. doi:10.1007/s10959-022-01195-9.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation: Description of the model and geometry of typical cells. Adv. Appl. Probab., 54(4):1252–1290, August 2022. doi:10.1017/apr.2022.6.

  $\bullet $ Hendrik Ranocha. A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations. J. Comput. Phys., 462:111236, August 2022. doi:10.1016/j.jcp.2022.111236.

  $\bullet $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. Nonlinear Anal., pages 113094, August 2022. doi:10.1016/j.na.2022.113094.

  $\bullet $ Barbara Niethammer, Robert L. Pego, André Schlichting, and Juan J. L. Velázquez. Oscillations in a Becker-Döring model with injection and depletion. SIAM J. Appl. Math, 82(4):1194–1219, August 2022. doi:10.1137/20M1398664.

  $\bullet $ Zakhar Kabluchko. Face numbers of high-dimensional Poisson zero cells. Proc. Amer. Math. Soc., 151(1):401–415, August 2022. doi:10.1090/proc/16085.

  $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Lat. Am. J. Probab. Math. Stat, 19:537––563, August 2022. doi:10.30757/ALEA.v19-21.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions. Z. Angew. Math. Phys., 73(5):188, August 2022. doi:10.1007/s00033-022-01716-w.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities. Found. Comput. Math., 22(4):905–966, August 2022. doi:10.1007/s10208-021-09514-y.

  $\bullet $ Johannes Ebert and Oscar Randal-Williams. The positive scalar curvature cobordism category. Duke Math. J., 171(11):2275–2406, August 2022. doi:10.1215/00127094-2022-0023.

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  $\bullet $ Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, and Larisa Yaroslavtseva. Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives. Discrete Contin. Din. Syst. Ser. B, 27(7):3707–3724, July 2022. doi:10.3934/dcdsb.2021203.

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  $\bullet $ Annika Bach, Marco Cicalese, Leonard Kreutz, and Gianluca Orlando. The antiferromagnetic XY model on the triangular lattice: Topological singularities. Indiana U. Math. J., 71(6):2411–2475, June 2022. doi:10.1512/iumj.2022.71.9239.

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  $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of point vortices for the two-dimensional Euler equation with $L^p$ vorticity. Philos. Trans. Royal Soc. A, 380(2226):20210046, May 2022. doi:10.1098/rsta.2021.0046.

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  $\bullet $ Alexander Iksanov, Zakhar Kabluchko, and Valeriya Kotelnikova. A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions. J. Math. Anal. Appl., 507(2):125798, March 2022. doi:10.1016/j.jmaa.2021.125798.

  $\bullet $ Asma Hassannezhad and Anna Siffert. Escobar constants of planar domains. Ann. Glob. Anal. Geom., 61(2):215–233, March 2022. doi:10.1007/s10455-021-09805-1.

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  $\bullet $ Carolin Dirks and Benedikt Wirth. An adaptive finite element approach for lifted branched transport problems. In Optimization and control for partial differential equations—uncertainty quantification, open and closed-loop control, and shape optimization, volume 29 of Radon Ser. Comput. Appl. Math., pages 189–236. March 2022. doi:10.1515/9783110695984-009.

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  $\bullet $ Julia Brunken and Kathrin Smetana. Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation. SIAM J. Numer. Anal., 60(1):157–179, February 2022. doi:10.1137/20M1374857.

  $\bullet $ Yifei Zhao. $p$-torsion étale sheaves on the Jacobian of a curve. J. Algebra, 592:64–99, February 2022. doi:10.1016/j.jalgebra.2021.10.031.

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  $\bullet $ Laurenţiu G. Maxim and Jörg Schürmann. Constructible sheaf complexes in complex geometry and applications. In Handbook of Geometry and Topology of Singularities III, pages 679–791. February 2022. doi:10.1007/978-3-030-95760-5_10.

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  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation II: The Gaussian limit tessellation. Electron. J. Probab., 27:1–33, January 2022. doi:10.1214/22-EJP782.

  $\bullet $ Alexander Effland, Behrend Heeren, Martin Rumpf, and Benedikt Wirth. Consistent curvature approximation on Riemannian shape spaces. IMA J. Numer. Anal., 42(1):78–106, January 2022. doi:10.1093/imanum/draa092.

  $\bullet $ Gerold Alsmeyer and Bastien Mallein. A simple method to find all solutions to the functional equation of the smoothing transform. J. Theor. Probab., January 2022. doi:10.1007/s10959-021-01151-z.

  $\bullet $ Michael Weiss. Rational Pontryagin classes of Euclidean fiber bundles. J. Geom. Topol, 25(7):3351––3424, January 2022. doi:10.2140/gt.2021.25.3351.

  $\bullet $ Georg Frenck and Jens Reinhold. Bundles with non-multiplicative Â-genus and spaces of metrics with lower curvature bounds. Int. Math. Res. Notices, 2022(10):7873–7892, January 2022. doi:10.1093/imrn/rnaa361.

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  2021

  $\bullet $ Jingjia Liu and Quirin Vogel. Large deviations of the range of the planar random walk on the scale of the mean. J. Theor. Probab., 34(4):2315–2345, December 2021. doi:10.1007/s10959-020-01039-4.

  $\bullet $ Simon André. Elementary subgroups of virtually free groups. Groups Geom. Dyn., 15(4):1523–1552, December 2021. doi:10.4171/ggd/638.

  $\bullet $ Simon André. Acylindrical hyperbolicity and existential closedness. Proc. Amer. Math. Soc., 150(3):909–918, December 2021. doi:10.1090/proc/15409.

  $\bullet $ Wilderich Tuschmann and Michael Wiemeler. On the topology of moduli spaces of non-negatively curved Riemannian metrics. Math. Ann., 384(3–4):1629–1651, December 2021. doi:10.1007/s00208-021-02327-y.

  $\bullet $ Rosario Mennuni. The domination monoid in o-minimal theories. J. Math. Log., December 2021. doi:10.1142/S0219061321500306.

  $\bullet $ Agnese Mantione and Rafael Torres. Geography of 4-manifolds with positive scalar curvature. Expo. Math., 39(4):566–582, December 2021. doi:10.1016/j.exmath.2021.05.003.

  $\bullet $ Ana Khukhro, Kang Li, Federico Vigolo, and Jiawen Zhang. On the structure of asymptotic expanders. Adv. Math., 393:108073, December 2021. doi:10.1016/j.aim.2021.108073.

  $\bullet $ Weinan E, Jiequn Han, and Arnulf Jentzen. Algorithms for solving high dimensional PDEs: From nonlinear Monte Carlo to machine learning. Nonlinearity, 35(1):278–310, December 2021. doi:10.1088/1361-6544/ac337f.

  $\bullet $ Joachim Lohkamp. Potential theory on minimal hypersurfaces II: Hardy structures and Schrödinger operators. Potential Anal., 55(4):563–602, December 2021. doi:10.1007/s11118-020-09869-x.

  $\bullet $ Tim de Laat and Timo Siebenand. Exotic group $C^*$-algebras of simple Lie groups with real rank one. Ann. Inst. Fourier, 71(5):2117–2136, December 2021. doi:10.5802/aif.3441.

  $\bullet $ Zakhar Kabluchko, Daniel Temesvari, and Christoph Thäle. A new approach to weak convergence of random cones and polytopes. Canad. J. Math., 73(6):1627–1647, December 2021. doi:10.4153/S0008414X20000620.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. High-dimensional limit theorems for random vectors in $l_p^n$-balls. II. Commun. Contemp. Math., 23(03):1950073, November 2021. doi:10.1142/s0219199719500731.

  $\bullet $ Christian Clason, Carla Tameling, and Benedikt Wirth. Convex relaxation of discrete vector-valued optimization problems. SIAM Rev., 63(4):783–821, November 2021. doi:10.1137/21M1426237.

  $\bullet $ Weinan E, Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Partial Differ. Equ. Appl., 2:Paper No. 80, November 2021. doi:10.1007/s42985-021-00089-5.

  $\bullet $ Ladislas Naurois, Arnulf Jentzen, and Timo Welti. Weak convergence rates for spatial spectral Galerkin approximations of semilinear stochastic wave equations with multiplicative noise. Appl. Math. Optim., 84:1187–1217, November 2021. doi:10.1007/s00245-020-09744-6.

  $\bullet $ Rosario Mennuni. Weakly binary expansions of dense meet-trees. MLQ Math. Log. Q., November 2021. doi:10.1002/malq.202000045.

  $\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Stability of $\mathbb Z^2$ configurations in 3D. Nonlinearity, 34(12):8392–8413, November 2021. doi:10.1088/1361-6544/ac3383.

  $\bullet $ Stephan Nüßlein, Hendrik Ranocha, and David I. Ketcheson. Positivity-preserving adaptive Runge-Kutta methods. Commun. Appl. Math. Comp. Sci., 16(2):155–179, November 2021. doi:10.2140/camcos.2021.16.155.

  $\bullet $ Xinxin Chen, Adam Dor-On, Langwen Hui, Christopher Linden, and Yifan Zhang. Doob equivalence and non-commutative peaking for Markov chains. J. Noncommut. Geom., 15(4):1469–1484, November 2021. doi:10.4171/jncg/444.

  $\bullet $ Bogdan Gheorghe, Daniel C. Isaksen, Achim Krause, and Nicolas Ricka. ℂ-motivic modular forms. Journal of the European Mathematical Society, 24(10):3597–3628, November 2021. doi:10.4171/jems/1171.

  $\bullet $ Jorge Castillejos and Samuel Evington. Stabilising uniform property Γ. Proc. Amer. Math. Soc., 149(11):4725–4737, November 2021. doi:10.1090/proc/15553.

  $\bullet $ Esmail Arasteh Rad and Urs Hartl. Uniformizing the moduli stacks of global G-shtukas. International Mathematics Research Notices, pages 16121–16192, November 2021. doi:10.1093/imrn/rnz223.

  $\bullet $ Tobias Leibner and Mario Ohlberger. A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. ESAIM: Math. Model. Numer. Anal., 55(6):2567–2608, November 2021. doi:10.1051/m2an/2021065.

  $\bullet $ Manuel Friedrich, Martin Kružík, and Ulisse Stefanelli. Equilibrium of immersed hyperelastic solids. Discrete Contin. Din. Syst. Ser. S, 14(11):4141, November 2021. doi:10.3934/dcdss.2021003.

  $\bullet $ Giles Gardam. A counterexample to the unit conjecture for group rings. Ann. Math., 194(3):967–979, November 2021. doi:10.4007/annals.2021.194.3.9.

  $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations for the partition function of Ising models on Erdös–Rényi random graphs. Ann. Inst. Henri Poincaré Probab. Stat., 57(4):2017–2042, November 2021. doi:10.1214/20-aihp1137.

  $\bullet $ Gerold Alsmeyer. Linear fractional Galton–Watson processes in random environment and perpetuities. Stoch. Qual. Control, 36(2):111–127, October 2021. arXiv:2109.15007, doi:10.1515/eqc-2021-0037.

  $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: The BPHZ momentum scheme. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 17:094, October 2021. doi:10.3842/SIGMA.2021.094.

  $\bullet $ Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, and Larisa Yaroslavtseva. On the strong regularity of degenerate additive noise driven stochastic differential equations with respect to their initial values. J. Math. Anal. Appl., 502(2):125240, October 2021. doi:10.1016/j.jmaa.2021.125240.

  $\bullet $ Hendrik Ranocha, Manuel Quezada de Luna, and David I. Ketcheson. On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations. Partial Differ. Equ. Appl., 2(6):76, October 2021. doi:10.1007/s42985-021-00126-3.

  $\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, and Stuart White. Classifying maps into uniform tracial sequence algebras. Münster Journal of Mathematics, October 2021. doi:10.17879/06089658544.

  $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Decomposable partial actions. J. Funct. Anal., 281(7):109112, October 2021. doi:10.1016/j.jfa.2021.109112.

  $\bullet $ Claudius Heyer. Parabolic induction via the parabolic pro-p Iwahori-Hecke algebra. Representation theory, 25:807–843, October 2021. doi:10.1090/ert/585.

  $\bullet $ Zhizhang Xie, Guoliang Yu, and Rudolf Zeidler. On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. Adv. Math., 390:Paper No. 107897, 24, October 2021. doi:10.1016/j.aim.2021.107897.

  $\bullet $ Maneesh Thakur. On $R$-triviality of $F_4$. Israel J. Math., 244(1):145–161, September 2021. doi:10.1007/s11856-021-2175-4.

  $\bullet $ Arnulf Jentzen, Felix Lindner, and Primož Pušnik. Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise. Nonlinear Anal., 210:112310, September 2021. doi:10.1016/j.na.2021.112310.

  $\bullet $ Christian Beck, Lukas Gonon, Martin Hutzenthaler, and Arnulf Jentzen. On existence and uniqueness properties for solutions of stochastic fixed point equations. Discrete Contin. Dyn. Syst. Ser. B, 26(9):4927–4962, September 2021. doi:10.3934/dcdsb.2020320.

  $\bullet $ Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld. Deep splitting method for parabolic PDEs. SIAM J. Sci. Comput., 43(5):A3135–A3154, September 2021. doi:10.1137/19M1297919.

  $\bullet $ Georg Frenck. $H$-space structures on spaces of metrics of positive scalar curvature. Trans. Amer. Math. Soc., September 2021. doi:10.1090/tran/8505.

  $\bullet $ Romain Pascalie, Carlos I. Pérez-Sánchez, and Raimar Wulkenhaar. Correlation functions of U($N$)-tensor models and their Schwinger–Dyson equations. Ann. Inst. Henri Poincaré D, 8(3):377–458, September 2021. doi:10.4171/aihpd/107.

  $\bullet $ Henrik Matthiesen and Anna Siffert. Existence of metrics maximizing the first eigenvalue on non-orientable surfaces. J. Spectr. Theory, 11(3):1279–1296, September 2021. doi:10.4171/jst/372.

  $\bullet $ Oliver Goertsches and Michael Wiemeler. Non-negatively curved GKM orbifolds. Math. Z., September 2021. doi:10.1007/s00209-021-02853-0.

  $\bullet $ Johannes Branahl, Alexander Hock, and Raimar Wulkenhaar. Perturbative and geometric analysis of the quartic Kontsevich model. SIGMA Symmetry Integrability Geom. Methods Appl., 17:Paper No. 085, 33, September 2021. doi:10.3842/SIGMA.2021.085.

  $\bullet $ Silke Meißner and Martin Otto. A First-Order Framework for Inquisitive Modal Logic. Rev. Symb. Log., 15(2):311–333, August 2021. arXiv:1906.04981, doi:10.1017/s175502032100037x.

  $\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Lattice ground states for embedded-atom models in 2D and 3D. Lett. Math. Phys., 111(4):107, August 2021. doi:10.1007/s11005-021-01446-6.

  $\bullet $ Robert Kropholler. Hyperbolic groups with finitely presented subgroups not of type $F_3$. Geometriae Dedicata, 213(1):589–619, August 2021. doi:10.1007/s10711-021-00599-x.

  $\bullet $ Federico Vigolo. Remarks on partitions into expanders. Aequationes mathematicae, 95(4):751–759, August 2021. doi:10.1007/s00010-020-00770-x.

  $\bullet $ Nils-Arne Dreier and Christian Engwer. Strategies for the vectorized Block Conjugate Gradients method. In Numerical Mathematics and Advanced Applications ENUMATH 2019, Lecture Notes in Computational Science and Engineering, 381–388. August 2021. doi:10.1007/978-3-030-55874-1_37.

  $\bullet $ Andre Nies, Dan Segal, and Katrin Tent. Finite axiomatizability for profinite groups. Proc. Lond. Math. Soc., 123(6):597–635, August 2021. doi:10.1112/plms.12420.

  $\bullet $ Petar Mlinarić, Stephan Rave, and Jens Saak. Parametric model order reduction using pyMOR. In Model Reduction of Complex Dynamical Systems, volume 171 of International Series of Numerical Mathematics, pages 357–367. August 2021. doi:10.1007/978-3-030-72983-7_17.

  $\bullet $ Kristin E. Courtney. Universal $C^*$-algebras with the local lifting property. Math. Scand., 127(2):361–381, August 2021. doi:10.7146/math.scand.a-126018.

  $\bullet $ Hendrik Ranocha. SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties. Journal of Open Source Software, 6(64):3454, August 2021. doi:10.21105/joss.03454.

  $\bullet $ Martin Nitsche, Thomas Schick, and Rudolf Zeidler. Transfer maps in generalized group homology via submanifolds. Doc. Math., 26:947–979, August 2021. doi:10.15388/namc.2021.26.24502.

  $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for incomplete $U$-statistics over triangular arrays. Braz. J. Probab. Stat., 35(3):499–522, August 2021. doi:10.1214/20-BJPS492.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. A new look at random projections of the cube and general product measures. Bernoulli, 27(3):2117–2138, August 2021. doi:10.3150/20-bej1303.

  $\bullet $ Gabriel Fernandes and Ralf Schindler. Tall cardinals in extender models. Notre Dame J. Form. Log., 62(3):425–454, August 2021. doi:10.1215/00294527-2021-0023.

  $\bullet $ Filippo Calderoni, Aleksandra Kwiatkowska, and Katrin Tent. Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures. J. Algebra, 580:43–62, August 2021. doi:10.1016/j.jalgebra.2021.03.028.

  $\bullet $ Paolo Antonini, Alcides Buss, Alexander Engel, and Timo Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group $C^*$-algebras. Trans. Amer. Math. Soc., 374(7):5071–5093, July 2021. doi:10.1090/tran/8372.

  $\bullet $ Arnulf Jentzen, Diyora Salimova, and Timo Welti. A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients. Commun. Math. Sci., 19(5):1167–1205, July 2021. doi:10.4310/CMS.2021.v19.n5.a1.

  $\bullet $ Christian Beck, Sebastian Becker, Philipp Grohs, Nor Jaafari, and Arnulf Jentzen. Solving the Kolmogorov PDE by means of deep learning. J. Sci. Comput., 88(3):Paper No. 73, 28 pp., July 2021. doi:10.1007/s10915-021-01590-0.

  $\bullet $ Annika Bach, Marco Cicalese, Leonard Kreutz, and Gianluca Orlando. The antiferromagnetic XY model on the triangular lattice: Chirality transitions at the surface scaling. Calc. Var. Parital Differ. Equ., 60(4):149, July 2021. doi:10.1007/s00526-021-02016-3.

  $\bullet $ Shirly Geffen. Nuclear dimension of crossed products associated to partial dynamical systems. J. Funct. Anal., 281(2):109031, July 2021. doi:10.1016/j.jfa.2021.109031.

  $\bullet $ Christian Engwer and Sebastian Westerheide. An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries. Comp. Appl. Math., 21(3):569–591, July 2021. doi:10.1515/cmam-2020-0056.

  $\bullet $ Christian Beck, Martin Hutzenthaler, and Arnulf Jentzen. On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations. Stoch. Dyn., 21(8):2150048, July 2021. doi:10.1142/S0219493721500489.

  $\bullet $ Katharina Ostaszewski, Karl-Heinz Glassmeier, Charlotte Goetz, Philip Heinisch, Pierre Henri, Sang A. Park, Hendrik Ranocha, Ingo Richter, Martin Rubin, and Bruce Tsurutani. Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov–Gerasimenko. Ann. Geophys-germany., 39(4):721–742, July 2021. doi:10.5194/angeo-39-721-2021.

  $\bullet $ Hans-Joachim Hein, Rares Rasdeaconu, and Ioana Suvaina. On the classification of ALE Kähler manifolds. Int. Math. Res. Notices, 2021(14):10957–10980, July 2021. doi:10.1093/imrn/rnz376.

  $\bullet $ Urs Hartl and Eva Viehmann. The generic fibre of moduli spaces of bounded local $G$-shtukas. Journal of the Institute of Mathematics of Jussieu, 22(2):799–878, July 2021. doi:10.1017/s1474748021000293.

  $\bullet $ Becky Armstrong, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, and Jacqui Ramagge. Twisted Steinberg algebras. J. Pure Appl. Algebra, 226(3):Paper No. 106853, 33, July 2021. URL: https://doi.org/10.1016/j.jpaa.2021.106853, doi:10.1016/j.jpaa.2021.106853.

  $\bullet $ Zakhar Kabluchko and Christoph Thäle. The typical cell of a Voronoi tessellation on the sphere. Discrete Comput. Geom., 66(4):1330–1350, July 2021. doi:10.1007/s00454-021-00315-2.

  $\bullet $ Thomas Godland and Zakhar Kabluchko. Conical tessellations associated with Weyl chambers. Trans. Amer. Math. Soc., 374(10):7161–7196, July 2021. doi:10.1090/tran/8445.

  $\bullet $ Marco Cicalese, Matteo Focardi, and Caterina Ida Zeppieri. Phase-field approximation of functionals defined on piecewise-rigid maps. Journal of Nonlinear Science, 31(5):Paper No. 78, 25, July 2021. doi:10.1007/s00332-021-09733-1.

  $\bullet $ Gilles Bonnet, Zakhar Kabluchko, and Nicola Turchi. Phase transition for the volume of high-dimensional random polytopes. Random Structures Algorithms, 58(4):648–663, July 2021. doi:10.1002/rsa.20986.

  $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Non-convergence of stochastic gradient descent in the training of deep neural networks. J. Complexity, 64:101540, June 2021. doi:10.1016/j.jco.2020.101540.

  $\bullet $ Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Timo Welti. Solving high-dimensional optimal stopping problems using deep learning. European J. Appl. Math., 32:470–514, June 2021. doi:10.1017/S0956792521000073.

  $\bullet $ Juliane Braunsmann, Marko Rajković, Martin Rumpf, and Benedikt Wirth. Learning low bending and low distortion manifold embeddings. In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 4411–4419. June 2021. doi:10.1109/CVPRW53098.2021.00498.

  $\bullet $ Alexander Engel, Christopher Wulff, and Rudolf Zeidler. Slant products on the Higson–Roe exact sequence. Ann. Inst. Fourier, 71(3):913–1021, June 2021. doi:10.5802/aif.3406.

  $\bullet $ Timo Richarz and Jakob Scholbach. Tate motives on Witt vector affine flag varieties. Selecta Math. (N.S.), 27(3):Paper No. 44, 34, June 2021. doi:10.1007/s00029-021-00665-y.

  $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit $p$-harmonic functions on rank-one Lie groups of Iwasawa type. J. Geom. Phys., 164:Paper No. 104205, 16, June 2021. doi:10.1016/j.geomphys.2021.104205.

  $\bullet $ Dennis Elbrächter, Philipp Grohs, Arnulf Jentzen, and Christoph Schwab. DNN expression rate analysis of high-dimensional PDEs: Application to option pricing. Constr. Approx., 55:3–71, May 2021. doi:10.1007/s00365-021-09541-6.

  $\bullet $ Elden Elmanto and Jay Shah. Scheiderer motives and equivariant higher topos theory. Adv. Math., 382:107651, May 2021. doi:10.1016/j.aim.2021.107651.

  $\bullet $ Matthew Haulmark, G. Christopher Hruska, and Bakul Sathaye. A relative Sierpinski theorem: Erratum to "Nonhyperbolic Coxeter groups with Menger boundary". L’Enseignement Mathématique, 66(3):441–445, May 2021. doi:10.4171/lem/66-3/4-7.

  $\bullet $ Sebastian Throm. Stability and uniqueness of self-similar profiles in $L^p$ spaces for perturbations of the constant kernel in Smoluchowski’s coagulation equation. Commun. Math. Phys., 383(3):1361–1407, May 2021. doi:10.1007/s00220-021-03967-6.

  $\bullet $ Sebastian Throm. Uniqueness of fat-tailed self-similar profiles to Smoluchowski’s coagulation equation for a perturbation of the constant kernel. Volume 271 of Memoirs of the American Mathematical Society. American Mathematical Society, May 2021. doi:10.1090/memo/1328.

  $\bullet $ Martin Bays and Emmanuel Breuillard. Projective geometries arising from Elekes-Szabó problems. Ann. Sci. Éc. Norm. Supér., 54(3):627–681, May 2021. doi:10.24033/asens.2467.

  $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs. Math. Phys. Anal. Geom., 24(2):19, May 2021. doi:10.1007/s11040-021-09390-6.

  $\bullet $ Christian Seis and Dominik Winkler. A well-posedness result for a system of cross-diffusion equations. J. Evol. Equ., 21(2):2471–2489, May 2021. doi:10.1007/s00028-021-00690-6.

  $\bullet $ Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, and Gregor J. Gassner. A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. J. Comput. Phys., 442:110467, May 2021. doi:10.1016/j.jcp.2021.110467.

  $\bullet $ André Schlichting and Christian Seis. The Scharfetter–Gummel scheme for aggregation–diffusion equations. IMA J. Numer. Anal., May 2021. doi:10.1093/imanum/drab039.

  $\bullet $ Helena J Nussenzveig Lopes, Christian Seis, and Emil Wiedemann. On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity. Nonlinearity, 34(5):3112–3121, May 2021. doi:10.1088/1361-6544/abe51f.

  $\bullet $ David Kerr and Hanfeng Li. Entropy, Shannon orbit equivalence, and sparse connectivity. Math. Ann., 380(3):1497–1562, May 2021. doi:10.1007/s00208-021-02190-x.

  $\bullet $ Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, and Stefan Volkwein. A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization. ESAIM: M2AN, 55(3):1239–1269, May 2021. doi:10.1051/m2an/2021019.

  $\bullet $ David Asperó and Ralf Schindler. Martin's Maximum++ implies Woodin's axiom (∗). Ann. Math., 193(3):793–835, May 2021. doi:10.4007/annals.2021.193.3.3.

  $\bullet $ Arnulf Jentzen and Ryan Kurniawan. Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Found. Comput. Math., 21(2):445–536, May 2021. doi:10.1007/s10208-020-09448-x.

  $\bullet $ Timo Richarz and Jakob Scholbach. The motivic Satake equivalence. Math. Ann., 380(3-4):1595–1653, May 2021. doi:10.1007/s00208-021-02176-9.

  $\bullet $ Holger Knöpfel, Matthias Löwe, and Holger Sambale. Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model. Electron. Commun. Probab., 26:Paper No. 29, 14, May 2021. doi:10.1214/21-ecp397.

  $\bullet $ Michael Goldman, Martin Huesmann, and Felix Otto. Quantitative linearization results for the Monge-Ampère equation. Commun. Pure Appl. Math., 74(12):2483–2560, May 2021. doi:10.1002/cpa.21994.

  $\bullet $ Ilijas Farah, Bradd Hart, Martino Lupini, Leonel Robert, Aaron Tikuisis, Alessandro Vignati, and Wilhelm Winter. Model theory of $\rm C^*$-algebras. Mem. Amer. Math. Soc., 271(1324):viii+127, May 2021. doi:10.1090/memo/1324.

  $\bullet $ Stefano Ceci and Christian Seis. Vortex dynamics for 2D Euler flows with unbounded vorticity. Rev. Mat. Iberoam., 37(5):1969–1990, May 2021. doi:10.4171/rmi/1255.

  $\bullet $ Iakovos Androulidakis, Omar Mohsen, and Robert Yuncken Yuncken. The convolution algebra of Schwartz kernels along a singular foliation. J. Operat. Theor., 85(2):475–503, April 2021. doi:10.7900/jot.2019nov12.2291.

  $\bullet $ Rosario Mennuni. Invariant types in model theory. B. Symb. Log., 26(3-4):296–297, April 2021. doi:10.1017/bsl.2020.25.

  $\bullet $ Edward L. Green, Lutz Hille, and Sibylle Schroll. Algebras and varieties. Algebras Represent. Theory, 24(2):367–388, April 2021. doi:10.1007/s10468-020-09951-3.

  $\bullet $ Farmer Schlutzenberg. Iterability for (transfinite) stacks. J. Math. Log., 21(02):2150008, April 2021. doi:10.1142/S0219061321500082.

  $\bullet $ Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, and Endre Süli. A conservative fully discrete numerical method for the regularized shallow water wave equations. SIAM J. Sci. Comput., 43(2):B508–B537, April 2021. doi:10.1137/20M1364606.

  $\bullet $ Philippe G. LeFloch and Hendrik Ranocha. Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. J. Sci. Comput., 87(2):55, April 2021. doi:10.1007/s10915-021-01463-6.

  $\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD. J. Funct. Anal., April 2021. doi:10.1016/j.jfa.2021.108929.

  $\bullet $ Jörg Fehr, Christian Himpe, Stephan Rave, and Jens Saak. Sustainable research software hand-over. Journal of Open Research Software, April 2021. doi:10.5334/jors.307.

  $\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Nuclear dimension of simple C$^*$-algebras. Inventiones mathematicae, 224(1):245–290, April 2021. doi:10.1007/s00222-020-01013-1.

  $\bullet $ Stefan Hoffelner. Ns saturated and $\Delta _1$-definable. J. Symb. Log., 86(1):25–59, March 2021. doi:10.1017/jsl.2021.23.

  $\bullet $ Manuel Friedrich, Leonard Kreutz, and Bernd Schmidt. Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Arch. Ration. Mech. Anal., 240(2):627–698, March 2021. doi:10.1007/s00205-021-01615-w.

  $\bullet $ Hendrik Ranocha and Jan Nordström. A new class of a stable summation by parts time integration schemes with strong initial conditions. J. Sci. Comput., 87(1):33, March 2021. doi:10.1007/s10915-021-01454-7.

  $\bullet $ Andreas G.A. Pithis and Johannes Thürigen. (No) phase transition in tensorial group field theory. Phys. Lett. B, 816:136215, March 2021. doi:10.1016/j.physletb.2021.136215.

  $\bullet $ Zakhar Kabluchko and Joscha Prochno. The maximum entropy principle and volumetric properties of Orlicz balls. J. Math. Anal. Appl., March 2021. doi:10.1016/j.jmaa.2020.124687.

  $\bullet $ Zakhar Kabluchko. Angles of random simplices and face numbers of random polytopes. Adv. Math., March 2021. doi:10.1016/j.aim.2021.107612.

  $\bullet $ Antonio Esposito, Francesco S. Patacchini, André Schlichting, and Dejan Slepcev. Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Arch. Ration. Mech. An., 240(2):699–760, March 2021. doi:10.1007/s00205-021-01631-w.

  $\bullet $ Constantin Eichenberg and André Schlichting. Self-similar behavior of the exchange-driven growth model with product kernel. Commun. Part. Diff. Eq., 46(3):498–546, March 2021. doi:10.1080/03605302.2020.1845205.

  $\bullet $ Johannes Ebert and Georg Frenck. The gromov-lawson-chernysh surgery theorem. Boletín de la Sociedad Matemática Mexicana, 27(2):37, March 2021. doi:10.1007/s40590-021-00310-w.

  $\bullet $ Steven Duplij and Wend Werner. Structure of unital 3-fields. Math. Semesterber., 68(1):27–53, March 2021. doi:10.1007/s00591-020-00285-1.

  $\bullet $ Maree Jaramillo, Raquel Perales, Priyanko Rajan, Catherine Searle, and Anna Siffert. Alexandrov spaces with integral current structure. Comm. Anal. Geom., 29(1):115–149, March 2021. doi:10.4310/CAG.2021.v29.n1.a4.

  $\bullet $ Fabian Hebestreit, Markus Land, and Thomas Nikolaus. On the homotopy type of L-spectra of the integers. J. Topol., 14(1):183–214, March 2021. doi:10.1112/topo.12180.

  $\bullet $ Vicent Gripon, Matthias Löwe, and Franck Vermet. Some remarks on replicated simulated annealing. J. Stat. Phys., 182(3):Paper No. 51, 22, March 2021. doi:10.1007/s10955-021-02727-z.

  $\bullet $ Beatrice Acciaio, Alexander M. G. Cox, and Martin Huesmann. Model-independent pricing with insider information: a Skorokhod embedding approach. Adv. in Appl. Probab., 53(1):30–56, March 2021. doi:10.1017/apr.2020.50.

  $\bullet $ Alexander Grebhahn, Christian Kaltenecker, Christian Engwer, Norbert Siegmund, and Sven Apel. Lightweight, semi-automatic variability extraction: A case study on scientific computing. Empir. Softw. Eng., 26(2):23, February 2021. doi:10.1007/s10664-020-09922-8.

  $\bullet $ Juan Pablo Acosta López. One dimensional groups definable in the $\less $i$\greater $p$\less $/i$\greater $-adic numbers. J. Symb. Log., 86(2):801–816, February 2021. doi:10.1017/jsl.2021.17.

  $\bullet $ Jacek Brodzki, Erik Guentner, Nigel Higson, and Shintaro Nishikawa. On the Baum-Connes conjecture for groups acting on CAT(0)-cubical spaces. Int. Math. Res. Notices, 2021(5):3698–3728, February 2021. doi:10.1093/imrn/rnaa059.

  $\bullet $ José A. Cañizo, Bertrand Lods, and Sebastian Throm. Contractivity for Smoluchowski's coagulation equation with solvable kernels. Bull. Lond. Math. Soc., 53(1):248–258, February 2021. doi:10.1112/blms.12417.

  $\bullet $ Tim de Laat and Mikael de la Salle. Banach space actions and L2-spectral gap. Anal. PDE, 14(1):45–76, February 2021. doi:10.2140/apde.2021.14.45.

  $\bullet $ Mark Blume and Lutz Hille. Quivers and moduli spaces of pointed curves of genus zero. Algebraic Comb., 4(1):89–124, February 2021. doi:10.5802/alco.152.

  $\bullet $ Hannes Thiel. The generator rank of $C^\ast $-algebras. J. Funct. Anal., 280(4):108874, 34, February 2021. doi:10.1016/j.jfa.2020.108874.

  $\bullet $ Takfarinas Medani, Juan Garcia-Prieto, Francois Tadel, Sophie Schrader, Marios Antonakakis, Anand Joshi, Christian Engwer, Carsten H. Wolters, John C. Mosher, and Richard M. Leahy. Realistic head modeling of electromagnetic brain activity: an integrated Brainstorm-DUNEuro pipeline from MRI data to the FEM solutions. In Hilde Bosmans, Wei Zhao, and Lifeng Yu, editors, Medical Imaging 2021: Physics of Medical Imaging, volume 11595, 1321 – 1328. International Society for Optics and Photonics, February 2021. doi:10.1117/12.2580935.

  $\bullet $ Eusebio Gardella, Ilan Hirshberg, and Luis Santiago. Rokhlin dimension: duality, tracial properties, and crossed products. Ergod. Theor. Dyn. Syst., 41(2):408–460, February 2021. doi:10.1017/etds.2019.68.

  $\bullet $ Maike E. E. Frantzen. Non-openness of v-adic Galois representation for A-motives. Int. J. Number Theory, 17(1):33–53, February 2021. doi:10.1142/S1793042121500032.

  $\bullet $ Carolin Dirks, Paul Striewski, Benedikt Wirth, Anne Aalto, and Adan Olguin-Olguin. A mathematical model for bleb regulation in zebrafish primordial germ cells. Mathematical Medicine and Biology: A Journal of the IMA, February 2021. doi:10.1093/imammb/dqab002.

  $\bullet $ Steffen Dereich. General multilevel adaptations for stochastic approximation algorithms II: CLTs. Stochastic Process. Appl., 132:226–260, February 2021. doi:10.1016/j.spa.2020.11.001.

  $\bullet $ Christian Clason, Dirk A. Lorenz, Hinrich Mahler, and Benedikt Wirth. Entropic regularization of continuous optimal transport problems. J. Math. Anal. Appl., 494(1):124432, 22, February 2021. doi:10.1016/j.jmaa.2020.124432.

  $\bullet $ Michael Ben-Zvi and Robert Kropholler. Right-angled artin group boundaries. Proc. Amer. Math. Soc., 149(2):555–567, February 2021. doi:10.1090/proc/15261.

  $\bullet $ Jonas Jalowy and Matthias Löwe. Reconstructing a recurrent random environment from a single trajectory of a random walk in random environment with errors. Electron. Commun. Probab., 26(none):1–12, January 2021. doi:10.1214/21-ECP425.

  $\bullet $ Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, and Dominik Göddeke. Towards local-failure local-recovery in PDE frameworks: The case of linear solvers. In Tomáš Kozubek, Peter Arbenz, Jiří Jaroš, Lubomír Říha, Jakub Šístek, and Petr Tichý, editors, High Performance Computing in Science and Engineering, Lecture Notes in Computer Science, 17–38. Springer International Publishing, January 2021. doi:10.1007/978-3-030-67077-1_2.

  $\bullet $ Arnulf Jentzen, Benno Kuckuck, Ariel Neufeld, and Philippe von Wurstemberger. Strong error analysis for stochastic gradient descent optimization algorithms. IMA J. Numer. Anal., 41(1):455–492, January 2021. doi:10.1093/imanum/drz055.

  $\bullet $ Adriana Garroni, Roberta Marziani, and Riccardo Scala. Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of quadratic growth. SIAM J. Math. Anal., 53(4):4252–4302, January 2021. doi:10.1137/20m1330117.

  $\bullet $ Leonard C. Kreutz and Paolo Piovano. Microscopic validation of a variational model of epitaxially strained crystalline films. SIAM J. Math. Anal., 53(1):453–490, January 2021. doi:10.1137/19M1240010.

  $\bullet $ Robin Bartlett. Potentially diagonalisable lifts with controlled Hodge-Tate weights. Doc. Math., 26:795–827, January 2021. doi:10.4171/dm/830.

  $\bullet $ José A. Cañizo and Sebastian Throm. The scaling hypothesis for Smoluchowski's coagulation equation with bounded perturbations of the constant kernel. J. Differ. Equations, 270:285–342, January 2021. doi:10.1016/j.jde.2020.07.036.

  $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Product formulas for periods of CM abelian varieties and the function field analog. J. Number Theory, 218:62–151, January 2021. doi:10.1016/j.jnt.2020.06.017.

  $\bullet $ Matteo. Laudonio, Romain Pascalie, and Adrian Tanasa. Combinatorial aspects of the Sachdev-Ye-Kitaev model. Rom. J. Pure Appl. Math., 66(2):485–522, January 2021.

  $\bullet $ Sigmundur Gudmundsson and Anna Siffert. New biharmonic functions on the compact Lie groups SO(n), SU(n), Sp(n). J. Geom. Anal., 31(1):250–281, January 2021. doi:10.1007/s12220-019-00259-3.

  $\bullet $ Christian Engwer and Michael Wenske. Estimating the extent of glioblastoma invasion. J. Math. Biol., 82(1):10, January 2021. doi:10.1007/s00285-021-01563-9.

  $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Erratum to: "the minimal exact crossed product". Doc. Math., 26:1629–1632, January 2021. doi:10.25537/dm.2021v26.1629-1632.

  $\bullet $ Manuel Friedrich, Martin Kružík, and Jan Valdman. Numerical approximation of von Karman viscoelastic plates. Discrete And Continuous Dynamical Systems - S, 14(1):299–319, January 2021. doi:10.3934/dcdss.2020322.

  $\bullet $ Matthias Erbar, Martin Huesmann, and Thomas Leblé. The one-dimensional log-gas free energy has a unique minimizer. Commun. Pure Appl. Math., 74(3):615–675, January 2021. doi:10.1002/cpa.21977.

  $\bullet $ Sonja Cox, Martin Hutzenthaler, Arnulf Jentzen, Jan van Neerven, and Timo Welti. Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions. IMA J. Numer. Anal., 41(1):493–548, January 2021. doi:10.1093/imanum/drz063.

  $\bullet $ Gregor Corbin, Axel Klar, Christina Surulescu, Christian Engwer, Michael Wenske, Juanjo Nieto, and Juan Soler. Modeling glioma invasion with anisotropy-and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis. Math. Models Methods Appl. Sci., January 2021. doi:10.1142/S0218202521500056.

  $\bullet $ Andreas Buhr, Laura Iapichino, Mario Ohlberger, Stephan Rave, Felix Schindler, and Kathrin Smetana. Localized model reduction for parameterized problems. In Model order reduction. Volume 2: Snapshot-based methods and algorithms, pages 245–305. January 2021. doi:10.1515/9783110671490-006.

  $\bullet $ Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, and Oliver Sander. The DUNE framework: Basic concepts and recent developments. Computers and Mathematics with Applications, 81:75–112, January 2021. doi:10.1016/j.camwa.2020.06.007.

  $\bullet $ Benjamin Antieau and Thomas Nikolaus. Cartier modules and cyclotomic spectra. J. Amer. Math. Soc., 34(1):1–78, January 2021. doi:10.1090/jams/951.

  $\bullet $ Adam Andersson, Arnulf Jentzen, and Ryan Kurniawan. Existence, uniqueness, and regularity for stochastic evolution equations with irregular initial values. J. Math. Anal. Appl., 495(1):124558, 33, January 2021. doi:10.1016/j.jmaa.2020.124558.

  $\bullet $ David Alonso-Gutiérrez, Florian Besau, Julian Grote, Zakhar Kabluchko, Matthias Reitzner, Christoph Thäle, Beatrice-Helen Vritsiou, and Elisabeth Werner. Asymptotic normality for random simplices and convex bodies in high dimensions. Proc. Amer. Math. Soc., 149(1):355–367, January 2021. doi:10.1090/proc/15232.

  $\bullet $ Vladimir Kanovei and Ralf Schindler. Definable Hamel bases and $AC_\omega (\mathbb R)$. Fund. Math., 253(3):239–256, January 2021. doi:10.4064/fm909-6-2020.

  $\bullet $ Zakhar Kabluchko and Christoph Thäle. Faces in random great hypersphere tessellations. Electron. J. Probab., 26:Paper No. 3, 35, January 2021. doi:10.1214/20-ejp570.

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  2020

  $\bullet $ Zakhar Kabluchko. Recursive scheme for angles of random simplices, and applications to random polytopes. Discrete Comput. Geom., 66(3):902–937, December 2020. doi:10.1007/s00454-020-00259-z.

  $\bullet $ Andreas G. A. Pithis and Johannes Thürigen. Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to $O(N)$ models. J. High Energy Phys., 2020(12):159, December 2020. doi:10.1007/JHEP12(2020)159.

  $\bullet $ Samuel M. Corson and Olga Varghese. A Nunke type classification in the locally compact setting. J. Algebra, 563:49–52, December 2020. doi:10.1016/j.jalgebra.2020.07.011.

  $\bullet $ Arnulf Jentzen, Felix Lindner, and Primož Pušnik. Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions. Numer. Algorithms, 85(4):1447–1473, December 2020. doi:10.1007/s11075-019-00871-y.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, Tuan Anh Nguyen, and Philippe von Wurstemberger. Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Proc. A., 476(2244):20190630, 25, December 2020. doi:10.1098/rspa.2019.0630.

  $\bullet $ Zakhar Kabluchko and Dmitry Zaporozhets. Angles of the Gaussian simplex. J. Math. Sci., 251(4):480–488, December 2020. doi:10.1007/s10958-020-05107-2.

  $\bullet $ Rishabh S. Gvalani and André Schlichting. Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures. J. Funct. Anal., 279(11):108720, December 2020. doi:10.1016/j.jfa.2020.108720.

  $\bullet $ Eusebio Gardella. Equivariant KK-theory and the continuous Rokhlin property. Int. Math. Res. Notices, December 2020. doi:10.1093/imrn/rnaa292.

  $\bullet $ Christian Beck, Fabian Hornung, Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. J. Numer. Math., 28(4):197–222, December 2020. doi:10.1515/jnma-2019-0074.

  $\bullet $ Laurentiu Maxim and Jörg Schürmann. Plethysm and cohomology representations of external and symmetric products. Adv. Math., 375:107373, December 2020. doi:10.1016/j.aim.2020.107373.

  $\bullet $ Rudolf Zeidler. Width, largeness and index theory. SIGMA Symmetry Integrability Geom. Methods Appl., 16:Paper No. 127, 15, December 2020. doi:10.3842/SIGMA.2020.127.

  $\bullet $ Hans-Joachim Hein and Valentino Tosatti. Higher-order estimates for collapsing Calabi-Yau metrics. Camb. J. Math., 8:683–773, December 2020. doi:10.4310/cjm.2020.v8.n4.a1.

  $\bullet $ Omar Mohsen. On the deformation groupoid of the inhomogeneous pseudo‐differential calculus. Bull. Lond. Math. Soc., 53(2):575–592, November 2020. doi:10.1112/blms.12443.

  $\bullet $ Natalie Emken and Christian Engwer. A reaction–diffusion–advection model for the establishment and maintenance of transport-mediated polarity and symmetry breaking. Frontiers in Applied Mathematics and Statistics, November 2020. doi:10.3389/fams.2020.570036.

  $\bullet $ Jorge Castillejos and Samuel Evington. Nuclear dimension of simple stably projectionless $\mathsf C^*$-algebras. Anal. PDE, 13(7):2205–2240, November 2020. doi:10.2140/apde.2020.13.2205.

  $\bullet $ Vito Crismale, Manuel Friedrich, and Francesco Solombrino. Integral representation for energies in linear elasticity with surface discontinuities. Adv. Calc. Var., November 2020. doi:10.1515/acv-2020-0047.

  $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. The maximal injective crossed product. Ergod. Theor. Dyn. Syst., 40(11):2995–3014, November 2020. doi:10.1017/etds.2019.25.

  $\bullet $ Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, and Philippe von Wurstemberger. Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations. Commun. Comput. Phys., 28(5):2109–2138, November 2020. doi:10.4208/cicp.OA-2020-0130.

  $\bullet $ Massoud Amini, Siegfried Echterhoff, and Hamed Nikpey. $C^\ast $-operator systems and crossed products. J. Math. Anal. Appl., 491(1):124308, November 2020. doi:10.1016/j.jmaa.2020.124308.

  $\bullet $ Zakhar Kabluchko, Christoph Thäle, and Dmitry Zaporozhets. Beta polytopes and Poisson polyhedra: $f$-vectors and angles. Adv. Math., 374:107333, 63, November 2020. doi:10.1016/j.aim.2020.107333.

  $\bullet $ Hendrik Flasche and Zakhar Kabluchko. Expected number of real zeroes of random Taylor series. Commun. Contemp. Math., 22(7):1950059, 38, November 2020. doi:10.1142/S0219199719500597.

  $\bullet $ Philip Easo, Esperanza Garijo, Sarunas Kaubrys, David Nkansah, Martin Vrabec, David Watt, Cameron Wilson, Christian Bönicke, Samuel Evington, Marzieh Forough, Sergio Girón Pacheco, Nicholas Seaton, Stuart White, Michael F. Whittaker, and Joachim Zacharias. The Cuntz–Toeplitz algebras have nuclear dimension one. J. Funct. Anal., 279(7):108690, October 2020. doi:10.1016/j.jfa.2020.108690.

  $\bullet $ Manuel Friedrich and Martin Kružík. Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity. Arch. Ration. Mech. An., 238(1):489–540, October 2020. doi:10.1007/s00205-020-01547-x.

  $\bullet $ Christoph Böhm and Ramiro A. Lafuente. Real geometric invariant theory. In Differential geometry in the large, volume 463 of London Math. Soc. Lecture Note Ser., pages 11–49. October 2020. doi:10.1017/9781108884136.003.

  $\bullet $ Ursula Ludwig. An index formula for the intersection Euler characteristic of an infinite cone. Math. Z., 296(1):99–126, October 2020. doi:10.1007/s00209-019-02423-5.

  $\bullet $ Manuel Friedrich and Ulisse Stefanelli. Ripples in graphene: A variational approach. Comm. Math. Phys., 379(3):915–954, October 2020. doi:10.1007/s00220-020-03869-z.

  $\bullet $ Farmer Schlutzenberg. A premouse inheriting strong cardinals from V. Ann. Pure Appl. Logic, 171(9):102826, October 2020. doi:10.1016/j.apal.2020.102826.

  $\bullet $ Matthias Löwe, Kristina Schubert, and Franck Vermet. Multi-group binary choice with social interaction and a random communication structure-A random graph approach. Phys. A, 556:124735, October 2020. doi:10.1016/j.physa.2020.124735.

  $\bullet $ Joachim Lohkamp. Potential theory on minimal hypersurfaces I: singularities as Martin boundaries. Potential Anal., 53(4):1493–1528, October 2020. doi:10.1007/s11118-019-09815-6.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. Intersection of unit balls in classical matrix ensembles. Israel J. Math., 239(1):129–172, October 2020. doi:10.1007/s11856-020-2052-6.

  $\bullet $ Annika Bach, Andrea Braides, and Caterina Ida Zeppieri. Quantitative analysis of finite-difference approximations of free-discontinuity problems. Interfaces and Free Boundaries, 22(3):317–381, September 2020. doi:10.4171/ifb/443.

  $\bullet $ Simon André. Hyperbolicity and cubulability are preserved under elementary equivalence. Geom. Topol., 24(3):1075–1147, September 2020. doi:10.2140/gt.2020.24.1075.

  $\bullet $ Benedikt Wirth. Green’s function for the Neumann–Poisson problem on $n$-dimensional balls. Am. Math. Mon., 127(8):737–743, September 2020. doi:10.1080/00029890.2020.1790910.

  $\bullet $ Ursula Ludwig. An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities. Duke Math. J., 169(13):2501–2570, September 2020. doi:10.1215/00127094-2020-0008.

  $\bullet $ Florian Schneider and Tobias Leibner. First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory. J. Comput. Phys., 416:109547, September 2020. doi:10.1016/j.jcp.2020.109547.

  $\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Identification of the polaron measure in strong coupling and the Pekar variational formula. Ann. Probab., 48(5):2119–2144, September 2020. doi:10.1214/19-AOP1392.

  $\bullet $ Aleksandra Kwiatkowska and Maciej Malicki. Ordered structures and large conjugacy classes. J. Algebra, 557:67–96, September 2020. doi:10.1016/j.jalgebra.2020.03.021.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. Exact asymptotic volume and volume ratio of Schatten unit balls. J. Approx. Theory, 257:105457, 13, September 2020. doi:10.1016/j.jat.2020.105457.

  $\bullet $ Julio Backhoff-Veraguas, Mathias Beiglböck, Martin Huesmann, and Sigrid Källblad. Martingale Benamou-Brenier: a probabilistic perspective. Ann. Probab., 48(5):2258–2289, September 2020. doi:10.1214/20-AOP1422.

  $\bullet $ Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych, and Vladislav Vysotsky. How long is the convex minorant of a one-dimensional random walk? Electron. J. Probab., 25:Paper No. 105, 22, September 2020. doi:10.1214/20-ejp497.

  $\bullet $ Christian Engwer, Iuliu Sorin Pop, and Thomas Wick. Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation. In Numerical Mathematics and Advanced Applications ENUMATH 2019, Lecture Notes in Computational Science and Engineering, 1177–1184. Springer International Publishing, August 2020. arXiv:1912.07096, doi:10.1007/978-3-030-55874-1_117.

  $\bullet $ Linus Kramer, Peter Kramer, and Vladimir Man’ko. A new product on $2 \times 2$ matrices. J. Phys. Conf. Ser., 1612(1):012018, August 2020. doi:10.1088/1742-6596/1612/1/012018.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, and Philippe von Wurstemberger. Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks. Electron. J. Probab., 25:Paper No. 101, 73, August 2020. doi:10.1214/20-ejp423.

  $\bullet $ F. Cagnetti, M. Perugini, and D. Stöger. Rigidity for perimeter inequality under spherical symmetrisation. Calc. Var. Partial Dif., 59(4):139, August 2020. doi:10.1007/s00526-020-01786-6.

  $\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. The Polaron measure. In Applied Probability and Stochastic Processes, pages 415–419. August 2020. doi:10.1007/978-981-15-5951-8_24.

  $\bullet $ Henrik Matthiesen and Anna Siffert. Sharp asymptotics of the first eigenvalue on some degenerating surfaces. Trans. Am. Math. Soc., 373(8):5903–5936, August 2020. doi:10.1090/tran/8114.

  $\bullet $ H. Bansal, S. Rave, L. Iapichino, W. Schilders, and N. van de Wouw. Model order reduction framework for problems with moving discontinuities. In Numerical Mathematics and Advanced Applications ENUMATH 2019, 83–91. August 2020. doi:10.1007/978-3-030-55874-1_7.

  $\bullet $ Sigmundur Gudmundsson and Anna Siffert. Proper $r$-harmonic functions on the Thurston geometries. J. Geom. Phys., 154:103729, 12, August 2020. doi:10.1016/j.geomphys.2020.103729.

  $\bullet $ David Kerr. Dimension, comparison, and almost finiteness. J. Eur. Math. Soc. (JEMS), 22(11):3697–3745, August 2020. doi:10.4171/jems/995.

  $\bullet $ Zakhar Kabluchko. Expected $f$-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Mathematika, 66(4):1028–1053, August 2020. doi:10.1112/mtk.12056.

  $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs—the regimes of small $p$ and the critical temperature. J. Phys. A, 53(35):355004, 37, August 2020. doi:10.1088/1751-8121/aba05f.

  $\bullet $ Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, and Stefan Turek. Exa-dune—flexible PDE solvers, numerical methods and applications. In Hans-Joachim Bungartz, Severin Reiz, Benjamin Uekermann, Philipp Neumann, and Wolfgang E. Nagel, editors, Software for Exascale Computing - SPPEXA 2016-2019, pages 225–269. Cham, July 2020. doi:10.1007/978-3-030-47956-5_9.

  $\bullet $ Fredrik Hellman, Tim Keil, and Axel Målqvist. Numerical upscaling of perturbed diffusion problems. SIAM J. Sci. Comput., 42(4):A2014–A2036, July 2020. doi:10.1137/19M1278211.

  $\bullet $ Behrend Heeren, Stefan Paulus, Heiner Goldbach, Heiner Kuhlmann, Anne-Katrin Mahlein, Martin Rumpf, and Benedikt Wirth. Statistical shape analysis of tap roots: a methodological case study on laser scanned sugar beets. BMC Bioinf., 21(1):335, July 2020. doi:10.1186/s12859-020-03654-8.

  $\bullet $ Urs Hartl and Eugen Hellmann. The universal family of semistable $p$-adic Galois representations. Algebra Number Theory, 14(5):1055–1121, July 2020. doi:10.2140/ant.2020.14.1055.

  $\bullet $ Julius Berner, Philipp Grohs, and Arnulf Jentzen. Analysis of the generalization error: empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations. SIAM J. Math. Data Sci., 2(3):631–657, July 2020. doi:10.1137/19M125649X.

  $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Pricing and heding american-style options with deep learning. Journal of Risk and Financial Management, July 2020. doi:10.3390/jrfm13070158.

  $\bullet $ Sandra Müller, Ralf Schindler, and W. Hugh Woodin. Mice with finitely many Woodin cardinals from optimal determinacy hypotheses. J. Math. Log., July 2020. doi:10.1142/S0219061319500132.

  $\bullet $ Zakhar Kabluchko and Dmitry Zaporozhets. Absorption probabilities for Gaussian polytopes and regular spherical simplices. Adv. in Appl. Probab., 52(2):588–616, July 2020. doi:10.1017/apr.2020.7.

  $\bullet $ Sebastian Becker, Benjamin Gess, Arnulf Jentzen, and Peter E. Kloeden. Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. BIT, 60(4):1057–1073, June 2020. doi:10.1007/s10543-020-00807-2.

  $\bullet $ André Schlichting. The exchange-driven growth model: Basic properties and longtime behavior. J. Nonlinear Sci., 30(3):793–830, June 2020. doi:10.1007/s00332-019-09592-x.

  $\bullet $ Kristin Courtney and David Sherman. The universal $C^*$-algebra of a contraction. J. Oper. Theory, June 2020. doi:10.7900/jot.2019mar11.2229.

  $\bullet $ Laurentiu Maxim, Morihiko Saito, and Jörg Schürmann. Spectral Hirzebruch-Milnor classes of singular hypersurfaces. Math. Ann., 377(1-2):281–315, June 2020. doi:10.1007/s00208-018-1750-4.

  $\bullet $ Neil Barton, Andrés Eduardo Caicedo, Gunter Fuchs, Joel David Hamkins, Jonas Reitz, and Ralf Schindler. Inner-model reflection principles. Studia Logica, 108(3):573–595, June 2020. doi:10.1007/s11225-019-09860-7.

  $\bullet $ Benjamin Fehrman, Benjamin Gess, and Arnulf Jentzen. Convergence rates for the Stochastic Gradient Descent method for non-convex objective functions. J. Mach. Learn. Res., 21(136):1–48, June 2020. doi:10.1016/j.jco.2019.101438.

  $\bullet $ Filippo Cagnetti, Antonin Chambolle, Matteo Perugini, and Lucia Scardia. An extension result for generalised special functions of bounded deformation. Calculus of Variations & Geometric Measure Theory, pages 457–470, June 2020.

  $\bullet $ Manuel Krannich and Jens Reinhold. Characteristic numbers of manifold bundles over surfaces with highly connected fibers. Journal of the London Mathematical Society, June 2020. doi:10.1112/jlms.12344.

  $\bullet $ Karl Heinrich Hofmann and Linus Kramer. On weakly complete group algebras of compact groups. J. Lie Theory, 30(2):407–424, June 2020.

  $\bullet $ Urs Hartl and Ann-Kristin Juschka. Pink's theory of Hodge structures and the Hodge conjecture over function fields. In $t$-motives: Hodge structures, transcendence and other motivic aspects, pages 31–182. May 2020. doi:10.4171/198-1/2.

  $\bullet $ Urs Hartl and Wansu Kim. Local Shtukas, Hodge-Pink Structures and Galois Representations, pages 157–218. EMS Ser. Congr. Rep. EMS Publ. House, Berlin, May 2020. doi:10.4171/198.

  $\bullet $ Martin Bays, Bradd Hart, and Anand Pillay. Universal covers of commutative finite Morley rank groups. J. Inst. Math. Jussieu, 19(3):767–799, May 2020. doi:10.1017/S1474748018000191.

  $\bullet $ Annika Bach and Liesel Sommer. A Γ-convergence result for fluid-filled fracture propagation. ESAIM: M2AN, 54(3):1003–1023, May 2020. doi:10.1051/m2an/2020016.

  $\bullet $ Bernhard Schmitzer, Klaus P. Schäfers, and Benedikt Wirth. Dynamic cell imaging in PET with optimal transport regularization. IEEE Trans. Med. Imaging, 39(5):1626–1635, May 2020. doi:10.1109/TMI.2019.2953773.

  $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Injectivity, crossed products, and amenable group actions. In $K$-theory in algebra, analysis and topology, volume 749 of Contemp. Math., pages 105–137. May 2020. doi:10.1090/conm/749/15069.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. Sanov-type large deviations in Schatten classes. Annales de L'Institut Henri Poincare Section (B) Probability and Statistics, 56(2):928–953, May 2020. doi:10.1214/19-AIHP989.

  $\bullet $ Robin Bartlett. On the irreducible components of some crystalline deformation rings. Forum of Mathematics, Sigma, April 2020. doi:10.1017/fms.2020.12.

  $\bullet $ Filippo Calderoni, Heike Mildenberger, and Luca Motto Ros. Uncountable structures are not classifiable up to bi-embeddiality. J. Math. Log., 20(1):1–49, April 2020. doi:10.1142/S0219061320500014.

  $\bullet $ Hoang Kim Nguyen, George Raptis, and Christoph Schrade. Adjoint functor theorems for ∞-categories. Journal of the London Mathematical Society, 101(2):659–681, April 2020. doi:10.1112/jlms.12282.

  $\bullet $ Michael S. Weiss. Immersion theory for homotopy theorists. Grad. J. Math., 5(1):9–27, April 2020.

  $\bullet $ Christian Seis. A note on the vanishing viscosity limit in the Yudovich class. Can. Math. Bulletin, pages 1–11, April 2020. doi:10.4153/S0008439520000296.

  $\bullet $ Asma Hassannezhad and Anna Siffert. A note on Kuttler–Sigillito's inequalities. Ann. Math. Qué., 44(1):125–147, April 2020. doi:10.1007/s40316-019-00113-6.

  $\bullet $ Matthias Löwe and Kristina Schubert. Exact recovery in block spin Ising models at the critical line. Electron. J. Stat., 14(1):1796–1815, April 2020. doi:10.1214/20-EJS1703.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Vladislav Vysotsky. Yet another note on the arithmetic-geometric mean inequality. Studia Math., 253(1):39–55, April 2020. doi:10.4064/sm181014-16-3.

  $\bullet $ Manuel Friedrich and Ulisse Stefanelli. Crystallization in a one-dimensional periodic landscape. J. Stat. Phys., 179(2):485–501, April 2020. doi:10.1007/s10955-020-02537-9.

  $\bullet $ Vito Crismale and Manuel Friedrich. Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. Arch. Ration. Mech. Anal., 237(2):1041–1098, April 2020. doi:10.1007/s00205-020-01525-3.

  $\bullet $ Francis Comets, Clément Cosco, and Chiranjib Mukherjee. Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder. J. Stat. Phys., 179(3):713–728, April 2020. doi:10.1007/s10955-020-02539-7.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Partial Differ. Equ. and Appl., 1(2):10, April 2020. doi:10.1007/s42985-019-0006-9.

  $\bullet $ Christian Seis. On the Littlewood–Paley spectrum for passive scalar transport equations. J. Nonlinear Sci., 30(2):645–656, April 2020. doi:10.1007/s00332-019-09585-w.

  $\bullet $ Arnulf Jentzen and Primož Pušnik. Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. IMA J. Numer. Anal., 40(2):1005–1050, April 2020. doi:10.1093/imanum/drz009.

  $\bullet $ Boris Botvinnik, Johannes Ebert, and David J. Wraith. On the topology of the space of Ricci-positive metrics. Proc. Amer. Math. Soc., 148:3997–4006, April 2020. doi:10.1090/proc/14988.

  $\bullet $ Ulrich Böttcher and Benedikt Wirth. Convex lifting-type methods for curvature regularization. In Philipp Grohs, Martin Holler, and Andreas Weinmann, editors, Handbook of Variational Methods for Nonlinear Geometric Data, chapter 7, pages 207–233. April 2020. doi:10.1007/978-3-030-31351-7_7.

  $\bullet $ Anthony Genevois and Olga Varghese. Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality. Bull. Aust. Math. Soc., 101(2):272–282, April 2020. doi:10.1017/s0004972719000844.

  $\bullet $ Martin Bays and Ya'acov Peterzil. Definability in the group of infinitesimals of a compact Lie group. Confluentes Math., 11(2):3–23, March 2020. doi:10.5802/cml.58.

  $\bullet $ Erik Panzer and Raimar Wulkenhaar. Lambert-W solves the noncommutative $\Phi ^4$-model. Commun. Math. Phys., 374:1935–1961, March 2020. doi:10.1007/s00220-019-03592-4.

  $\bullet $ Martin Hutzenthaler and Arnulf Jentzen. On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients. Ann. Probab., 48(1):53–93, March 2020. doi:10.1214/19-AOP1345.

  $\bullet $ Fabian Hebestreit and Michael Joachim. Twisted spin cobordism and positive scalar curvature. J. Topol., 13(1):1–58, March 2020. doi:10.1112/topo.12122.

  $\bullet $ Hendrik Flasche and Zakhar Kabluchko. Real zeroes of random analytic functions associated with geometries of constant curvature. J. Theoret. Probab., 33(1):103–133, March 2020. doi:10.1007/s10959-018-0843-z.

  $\bullet $ Oskar Braun, Karl H. Hofmann, and Linus Kramer. Automatic continuity of abstract homomorphisms between locally compact and polish groups. Transform. Groups, 25(1):1–32, March 2020. doi:10.1007/s00031-019-09537-4.

  $\bullet $ David Kerr and Gábor Szabó. Almost finiteness and the small boundary property. Comm. Math. Phys., 374(1):1–31, March 2020. doi:10.1007/s00220-019-03519-z.

  $\bullet $ Lars Hesselholt and Thomas Nikolaus. Algebraic $K$-theory of planar cuspidal curves. In $K$-theory in algebra, analysis and topology, volume 749 of Contemp. Math., pages 139–148. Amer. Math. Soc., [Providence], RI, March 2020. doi:10.1090/conm/749/15070.

  $\bullet $ Stephan Rave and Jens Saak. A non-stationary thermal-block benchmark model for parametric model order reduction. In Model reduction of complex dynamical systems, volume 171 of Internat. Ser. Numer. Math., pages 349–356. February 2020. doi:10.1007/978-3-030-72983-7_16.

  $\bullet $ Kristin Courtney and Tatiana Shulman. Free products with amalgamation over central $C^*$-subalgebras. Proc. Am. Math. Soc., 148(2):765–776, February 2020. doi:10.1090/proc/14746.

  $\bullet $ Laurent Berger, Peter Schneider, and Bingyong Xie. Rigid character groups, Lubin-Tate theory, and $(\varphi ,\Gamma )$-modules. Mem. Amer. Math. Soc., 263(1275):v + 79, February 2020. doi:10.1090/memo/1275.

  $\bullet $ Holger Knöpfel, Matthias Löwe, Kristina Schubert, and Arthur Sinulis. Fluctuation results for general block spin Ising models. J. Stat. Phys., 178(5):1175–1200, February 2020. doi:10.1007/s10955-020-02489-0.

  $\bullet $ Zakhar Kabluchko. Angle sums of random simplices in dimensions $3$ and $4$. Proc. Amer. Math. Soc., 148(7):3079–3086, February 2020. doi:10.1090/proc/14934.

  $\bullet $ Manuel Friedrich and Leonard Kreutz. Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Nonlinearity, 33(3):1240–1296, February 2020. doi:10.1088/1361-6544/ab591f.

  $\bullet $ Manuel Friedrich and Francesco Solombrino. Functionals defined on piecewise rigid functions: Integral representation and Γ-convergence. Arch. Ration. Mech. Anal., 236(3):1325–1387, February 2020. doi:10.1007/s00205-020-01493-8.

  $\bullet $ Elisa Davoli and Manuel Friedrich. Two-well rigidity and multidimensional sharp-interface limits for solid–solid phase transitions. Calc. Var. Partial Differential Equations, 59(2):Paper No. 44, February 2020. doi:10.1007/s00526-020-1699-5.

  $\bullet $ Thomas Nikolaus and Konrad Waldorf. Higher geometry for non-geometric T-duals. Commun. Math. Phys., 374(1):317–366, February 2020. doi:10.1007/s00220-019-03496-3.

  $\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times. Commun. Pure Appl. Math., 73(2):350–383, February 2020. doi:10.1002/cpa.21858.

  $\bullet $ Mriko Ebbers and Matthias Löwe. Equi-energy sampling does not converge rapidly on the mean-field Potts model with three colors close to the critical temperature. J. Phys. A: Math. Theor., February 2020. doi:10.1088/1751-8121/ab7422.

  $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Periods of Drinfeld modules and local shtukas with complex multiplication. J. Inst. Math. Jussieu, 19(1):175–208, January 2020. doi:10.1017/s1474748017000494.

  $\bullet $ Lars Hesselholt and Thomas Nikolaus. Topological cyclic homology. In Handbook of homotopy theory, CRC Press/Chapman Hall Handb. Math. Ser., pages 619–656. January 2020. doi:10.1201/9781351251624-15.

  $\bullet $ Christian Engwer, Sandra May, Andreas Nüßing, and Florian Streitbürger. A stabilized DG cut cell method for discretizing the linear transport equation. SIAM J. Sci. Comp., 42(6):A3677–A3703, January 2020. doi:10.1137/19M1268318.

  $\bullet $ José A. Carrillo, Rhishabh S. Gvalani, Grigorios. A. Pavliotis, and André Schlichting. Long-time behaviour and phase transitions for the Mckean–Vlasov equation on the torus. Arch. Ration. Mech. Anal., 235(1):635–690, January 2020. doi:10.1007/s00205-019-01430-4.

  $\bullet $ Michael S. Weiss. Configuration categories and homotopy automorphisms. Glasg. Math. J., 62(1):13–41, January 2020. doi:10.1017/s0017089518000502.

  $\bullet $ Peter Schneider and Ernst-Wilhelm Zink. Zelevinsky operations for multisegments and a partial order on partitions. Pacific J. Math., 304(1):181–207, January 2020. doi:10.2140/pjm.2020.304.181.

  $\bullet $ Luca Ferrari, Carolin Dirks, and Benedikt Wirth. Phase field approximations of branched transportation problems. Calc. Var. Partial Differential Equations, 59(1):Paper No. 37, 34, January 2020. doi:10.1007/s00526-019-1680-3.

  $\bullet $ Behrend Heeren, Martin Rumpf, Max Wardetzky, and Benedikt Wirth. Discrete Riemannian calculus on shell space. In Andrea Bonito and Ricardo Nochetto, editors, Geometric partial differential equations, volume 21 of Handbook of Numerical Analysis, pages 621–679. January 2020. doi:10.1016/bs.hna.2019.06.005.

  $\bullet $ Christopher Deninger. $p$-adic limits of renormalized logarithmic Euler characteristics. Groups Geom. Dyn., 14(2):427–467, January 2020. arXiv:1801.02412, doi:10.4171/GGD/550.

  $\bullet $ Caterina Ida Zeppieri. Homogenisation of high-contrast brittle materials. Math. Eng., 2(1):174–202, January 2020. doi:10.3934/mine.2020009.

  $\bullet $ Michael Wiemeler. Classification of rationally elliptic toric orbifolds. Arch. Math. (Basel), 114(6):641–647, January 2020. doi:10.1007/s00013-019-01430-6.

  $\bullet $ Michael Wiemeler. On moduli spaces of positive scalar curvature metrics on highly connected manifolds. Int. Math. Res. Notices, January 2020. doi:10.1093/imrn/rnz386.

  $\bullet $ Olga Varghese. On number of ends of graph products of groups. Commun. Algebra, pages 1–10, January 2020. doi:10.1080/00927872.2020.1714637.

  $\bullet $ Mario Ohlberger, Ben Schweizer, Maik Urban, and Barbara Verfürth. Mathematical analysis of transmission properties of electromagnetic meta-materials. Networks & Heterogeneous Media, 15(1):29–56, January 2020. doi:10.3934/nhm.2020002.

  $\bullet $ Gernot Münster and Raimar Wulkenhaar. The Leutwyler–Smilga relation on the lattice. Mod. Phys. Lett. A, 35:1950346, January 2020. doi:10.1142/s0217732319503462.

  $\bullet $ Laurentiu Maxim, Morihiko Saito, and Jörg Schürmann. Thom-Sebastiani theorems for filtered $\mathcal D$-modules and for multiplier ideals. Int. Math. Res. Notices, 2020(1):91–111, January 2020. doi:10.1093/imrn/rny032.

  $\bullet $ Nils Leder and Olga Varghese. A note on locally elliptic actions on cube complexes. Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial, 18(1):1–6, January 2020. doi:10.2140/iig.2020.18.1.

  $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. Solution of the self-dual $\Phi ^4$ QFT-model on four-dimensional Moyal space. J. High Energy Phys., 01:081, January 2020. doi:10.1007/jhep01(2020)081.

  $\bullet $ Manuel Friedrich. Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials. Math. Eng., 2(1):75–100, January 2020. arXiv:1916.07817, doi:10.3934/mine.2020005.

  $\bullet $ Christopher Deninger and Annette Werner. Parallel transport for vector bundles on $p$-adic varieties. J. Algebraic Geom., 29(1):1–52, January 2020. doi:10.1090/jag/747.

  $\bullet $ Raimar Wulkenhaar. Quantum field theory on noncommutative spaces. In A. Chamseddine, C Consani, N Higson, M Khalkhali, H Moscovici, and G Yu, editors, Advances in Noncommutative Geometry, pages 607–690. January 2020. doi:10.1007/978-3-030-29597-4_11.

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  2019

  $\bullet $ Tamás Csige. Reflexive ideals and completely faithful modules of Iwasawa algebras. J. Number Theory, 205:300–320, December 2019. doi:10.1016/j.jnt.2019.05.012.

  $\bullet $ Sy-David Friedman and Stefan Hoffelner. A $\Sigma _4^1$ wellorder of the reals with $ns\omega _1$ saturated. J. Symb. Log., 84(4):1466–1483, December 2019. doi:10.1017/jsl.2019.43.

  $\bullet $ André Schlichting and Martin Slowik. Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities. Ann. Appl. Probab., 29(6):3438–3488, December 2019. doi:10.1214/19-AAP1484.

  $\bullet $ Zakhar Kabluchko, Alexander Marynych, Daniel Temesvari, and Christoph Thäle. Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Probab. Theory Related Fields, 175(3-4):1021–1061, December 2019. doi:10.1007/s00440-019-00907-3.

  $\bullet $ Olga Varghese. The automorphism group of the universal Coxeter group. Expo. Math., December 2019. doi:10.1016/j.exmath.2019.09.002.

  $\bullet $ Jörg Schürmann and Jon Woolf. Witt groups of abelian categories and perverse sheaves. Ann. K-Theory, 4(4):621–670, December 2019. doi:10.2140/akt.2019.4.621.

  $\bullet $ Romain Pascalie. A solvable tensor field theory. Lett. Math. Phys., pages 125, December 2019. doi:10.1007/s11005-019-01245-0.

  $\bullet $ Urs Hartl. Isogenies of abelian Anderson A-modules and A-motives. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 19(4):1429–1470, December 2019. doi:10.2422/2036-2145.201612_003.

  $\bullet $ Yannic Bröker and Chiranjib Mukherjee. Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder. Ann. Appl. Probab., 29(6):3745–3785, December 2019. doi:10.1214/19-AAP1491.

  $\bullet $ Robin Bartlett. Inertial and Hodge–Tate weights of crystalline representations. Math. Ann., 376(1-2):645–681, November 2019. doi:10.1007/s00208-019-01931-3.

  $\bullet $ Steffen Dereich. The rank-one and the preferential attachment paradigm. In Network Science, pages 43–58. November 2019. doi:10.1007/978-3-030-26814-5_4.

  $\bullet $ Lutz Hille and David Ploog. Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$. Pacific J. Math., 302(2):599–625, November 2019. doi:10.2140/pjm.2019.302.599.

  $\bullet $ Yatir Halevi, Assaf Hasson, and Franziska Jahnke. Definable V-topologies, Henselianity and NIP. J. Math. Log., 20(2):2050008, November 2019. doi:10.1142/S0219061320500087.

  $\bullet $ Stephan Rave and Felix Schindler. A locally conservative reduced flux reconstruction for elliptic problems. PAMM, November 2019. doi:10.1002/pamm.201900026.

  $\bullet $ Andrea Marchese and Benedikt Wirth. Approximation of rectifiable 1-currents and weak-∗ relaxation of the $h$-mass. J. Math. Anal. Appl., 479(2):2268–2283, November 2019. doi:10.1016/j.jmaa.2019.07.059.

  $\bullet $ Linus Kramer and Olga Varghese. Abstract homomorphisms from locally compact groups to discrete groups. J. Algebra, 538:127–139, November 2019. doi:10.1016/j.jalgebra.2019.07.026.

  $\bullet $ Martin Huesmann and Dario Trevisan. A Benamou–Brenier formulation of martingale optimal transport. Bernoulli, 25(4A):2729–2757, November 2019. doi:10.3150/18-bej1069.

  $\bullet $ Amine Helali and Matthias Löwe. Hitting times, commute times, and cover times for random walks on random hypergraphs. Statistics & Probability Letters, 154:108535, 6, November 2019. doi:10.1016/j.spl.2019.06.011.

  $\bullet $ Linus Balicki, Petar Mlinarić, Stephan Rave, and Jens Saak. System-theoretic model order reduction with pyMOR. PAMM, November 2019. doi:10.1002/pamm.201900459.

  $\bullet $ Thomas Püttmann and Anna Siffert. Harmonic self-maps of cohomogeneity one manifolds. Math. Ann., 375(1):247–282, October 2019. doi:10.1007/s00208-019-01848-x.

  $\bullet $ Muna Taha, Mohammed Aldirawi, Sigrid März, Jochen Seebach, Maria Odenthal-Schnittler, Olga Bondareva, Vesna Bojovic, Thomas Schmandra, Benedikt Wirth, Magdalena Mietkowska, Klemens Rottner, and Hans Schnittler. EPLIN-α and -β isoforms modulate endothelial cell dynamics through a spatiotemporally differentiated interaction with actin. Cell Rep., 29(4):1010–1026.e6, October 2019. doi:10.1016/j.celrep.2019.09.043.

  $\bullet $ Olga Varghese. On hyperbolicity and virtual freeness of automorphism groups. Geometriae Dedicata, October 2019. doi:10.1007/s10711-019-00486-6.

  $\bullet $ Rachel Ollivier and Peter Schneider. The modular pro-$p$ Iwahori-Hecke Ext-algebra. In Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan, and Erez M. Lapid, editors, Representations of Reductive Groups, volume 101 of Proceedings of Symposia in Pure Mathematics, pages 255–308. October 2019. doi:10.1090/pspum/101.

  $\bullet $ Gunnar Kaib, Kyungkeun Kang, and Angela Stevens. Global minimizers for anisotropic attractive-repulsive interactions. Eur. J. Appl. Math., pages 1–17, October 2019. doi:10.1017/s0956792519000299.

  $\bullet $ Zakhar Kabluchko and Mikhail A. Lifshits. Adaptive energy-saving approximation for stationary processes. Izv. Math., 83(5):932–956, October 2019. doi:10.1070/IM8840.

  $\bullet $ Manuel Friedrich, Edoardo Mainini, and Paolo Piovano. Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: A review. Rendiconti del Seminario Matematico, 77(2):79–98, September 2019.

  $\bullet $ Dmitri Pavlov and Jakob Scholbach. Symmetric operads in abstract symmetric spectra—erratum. J. Inst. Math. Jussieu, 18(5):1113, September 2019. doi:10.1017/s1474748019000379.

  $\bullet $ Lutz Hille and David Ploog. Tilting chains of negative curves on rational surfaces. Nagoya Math. J., 235:26–41, September 2019. doi:10.1017/nmj.2017.40.

  $\bullet $ Benedikt Wirth. Phase field models for two-dimensional branched transportation problems. Calc. Var. Partial Dif., 58(5):164, September 2019. doi:10.1007/s00526-019-1615-z.

  $\bullet $ Mario Ohlberger, Andreas Buhr, Dennis Eikhorn, Christian Engwer, and Stephan Rave. Advances in model order reduction for large scale or multi-scale problems. Oberwolfach Rep., 2019:38–40, September 2019.

  $\bullet $ Martin Hils and François Loeser. A First Journey through Logic. Volume 89 of Student Mathematical Library. American Mathematical Society, 1. edition, September 2019. doi:10.1090/stml/089.

  $\bullet $ Manuel Friedrich and Leonard Kreutz. Crystallization in the hexagonal lattice for ionic dimers. Math. Mod. Meth. Appl. S., 29(10):1853–1900, September 2019. doi:10.1142/s0218202519500362.

  $\bullet $ Ramon Antoine, Francesc Perera, and Hannes Thiel. Abstract bivariant Cuntz semigroups II. Forum Math., September 2019. doi:10.1515/forum-2018-0285.

  $\bullet $ Arnulf Jentzen, Felix Lindner, and Primož Pušnik. On the Alekseev-Gröbner formula in Banach spaces. Discrete Contin. Dyn. Syst. Ser. B, 24(8):4475–4511, August 2019. doi:10.3934/dcdsb.2019128.

  $\bullet $ Daniel Conus, Arnulf Jentzen, and Ryan Kurniawan. Weak convergence rates of spectral Galerkin approximations for SPDEs with nonlinear diffusion coefficients. Ann. Appl. Probab., 29(2):653–716, August 2019. doi:10.1214/17-AAP1352.

  $\bullet $ Christian Beck, Weinan E, and Arnulf Jentzen. Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. J. Nonlinear Sci., 29:1563–1619, August 2019. doi:10.1007/s00332-018-9525-3.

  $\bullet $ Arnulf Jentzen, Uli Stadtmüller, and Robert Stelzer. Foreword: Special issue on “Stochastic differential equations, stochastic algorithms, and applications”. J. Math. Anal. Appl., 476(1):1, August 2019. doi:10.1016/j.jmaa.2019.03.069.

  $\bullet $ Wilderich Tuschmann and Michael Wiemeler. Smooth stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature. Comm. Anal. Geom., 27(2):491–509, August 2019. doi:10.4310/CAG.2019.v27.n2.a8.

  $\bullet $ Ildar Ibragimov, Zakhar Kabluchko, and Mikhail Lifshits. Some extensions of linear approximation and prediction problems for stationary processes. Stochastic Process. Appl., 129(8):2758–2782, August 2019. doi:10.1016/j.spa.2018.08.001.

  $\bullet $ Johannes Riesselmann, Wilhelm Ketteler Jonas, Mira Schedensack, and Daniel Balzani. Three-field mixed finite element formulations for gradient elasticity at finite strains. GAMM-Mitteilungen, August 2019. doi:10.1002/gamm.202000002.

  $\bullet $ Isabel Müller and Katrin Tent. Building-like geometries of finite Morley rank. J. Eur. Math. Soc. (JEMS), 21(12):3739–3757, August 2019. doi:10.4171/jems/912.

  $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for Ising models on dense Erdős–Rényi random graphs. J. Stat. Phys., 177(1):78–94, August 2019. doi:10.1007/s10955-019-02358-5.

  $\bullet $ Jins de Jong and Raimar Wulkenhaar. Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling. J. Math. Phys., 60(8):083504, August 2019. doi:10.1063/1.5063293.

  $\bullet $ Wolfgang Herfort, Karl H. Hofmann, Linus Kramer, and Francesco G. Russo. The Sylow structure of scalar automorphism groups. Topology Appl., 263:26–43, August 2019. doi:10.1016/j.topol.2019.05.027.

  $\bullet $ Fredrik Hellman, Tim Keil, and Axel Målqvist. Multiscale methods for perturbed diffusion problems. Oberwolfach Rep., August 2019. arXiv:1908.00652.

  $\bullet $ Johannes Ebert and Oscar Randal-Williams. Semisimplicial spaces. Algebr. Geom. Topol., 19(4):2099–2150, August 2019. doi:10.2140/agt.2019.19.2099.

  $\bullet $ Ulrich Bunke and Thomas Nikolaus. Twisted differential cohomology. Algebr. Geom. Topol., 19(4):1631–1710, August 2019. doi:10.2140/agt.2019.19.1631.

  $\bullet $ Christophe Breuil, Eugen Hellmann, and Benjamin Schraen. A local model for the trianguline variety and applications. Publ. Math. IHES, 130(1):299–412, August 2019. doi:10.1007/s10240-019-00111-y.

  $\bullet $ Christoph Böhm and Ramiro A. Lafuente. The Ricci flow on solvmanifolds of real type. Adv. Math., 352:516–540, August 2019. doi:10.1016/j.aim.2019.06.014.

  $\bullet $ Mathias Beiglböck, Alexander M. G. Cox, and Martin Huesmann. The geometry of multi-marginal Skorokhod Embedding. Probab. Theory Rel., August 2019. doi:10.1007/s00440-019-00935-z.

  $\bullet $ André Schlichting. Macroscopic limit of the Becker–Döring equation via gradient flows. ESAIM Control Optim. Calc. Var., 25:22, July 2019. doi:10.1051/cocv/2018011.

  $\bullet $ Dmitri Pavlov and Jakob Scholbach. Symmetric operads in abstract symmetric spectra. J. Inst. Math. Jussieu, 18(4):707–758, July 2019. doi:10.1017/s1474748017000202.

  $\bullet $ Olga Varghese. On coherence of graph products of groups and Coxeter groups. Universitext., 342(7):2100–2105, July 2019. doi:10.1016/j.disc.2019.04.014.

  $\bullet $ Hannes Thiel. Ranks of operators in simple $C^*$-algebras with stable rank one. Commun. Math. Phys., July 2019. doi:10.1007/s00220-019-03491-8.

  $\bullet $ Bernhard Schmitzer and Benedikt Wirth. Dynamic models of Wasserstein-1-type unbalanced transport. ESAIM Control Optim. Calc. Var., 25(23):54, July 2019. doi:10.1051/cocv/2018017.

  $\bullet $ Timo Richarz and Jakob Scholbach. The intersection motive on the moduli stack of shtukas. Forum of Mathematics Sigma, July 2019. doi:10.1017/fms.2019.32.

  $\bullet $ Romain Pascalie, Carlos I. Pérez-Sánchez, Adrian Tanasa, and Raimar Wulkenhaar. On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory. J. Math. Phys., 60(7):073502, July 2019. doi:10.1063/1.5080306.

  $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. Γ-convergence of free-discontinuity problems. Annales de L'Institut Henri Poincare Section (C) Non Linear Analysis, 36(4):1035–1079, July 2019. doi:10.1016/j.anihpc.2018.11.003.

  $\bullet $ Christoph Böhm, Ramiro Lafuente, and Miles Simon. Optimal curvature estimates for homogeneous Ricci flows. Int. Math. Res. Not. IMRN, 2019(14):4431–4468, July 2019. doi:10.1093/imrn/rnx256.

  $\bullet $ Richard Bamler, Esther Cabezas-Rivas, and Burkhard Wilking. The Ricci flow under almost non-negative curvature conditions. Invent. Math., 217:95–126, July 2019. doi:10.1007/s00222-019-00864-7.

  $\bullet $ Gerold Alsmeyer, Zakhar Kabluchko, and Alexander Marynych. Limit theorems for the least common multiple of a random set of integers. Trans. Amer. Math. Soc., 372(7):4585–4603, July 2019. doi:10.1090/tran/7871.

  $\bullet $ Giuseppe Da Prato, Arnulf Jentzen, and Michael Röckner. A mild Itô formula for SPDEs. Trans. Amer. Math. Soc., 372:3755–3807, June 2019. doi:10.1090/tran/7165.

  $\bullet $ Steffen Dereich and Thomas Müller-Gronbach. General multilevel adaptations for stochastic approximation algorithms of Robbins–Monro and Polyak–Ruppert type. Numer. Math., 142(2):279–328, June 2019. doi:10.1007/s00211-019-01024-y.

  $\bullet $ Franziska Jahnke and Pierre Simon. NIP henselian valued fields. Arch. Math. Logic, 59(1-2):167–178, June 2019. doi:10.1007/s00153-019-00685-8.

  $\bullet $ Zakhar Kabluchko. An infinite-dimensional helix invariant under spherical projections. Electron. Commun. Probab., 24:Paper No. 25, 13, June 2019. doi:10.1214/19-ECP234.

  $\bullet $ Christian Engwer, Patrick Henning, Axel Målqvist, and Daniel Peterseim. Efficient implementation of the localized orthogonal decomposition method. Comput. Methods Appl. Mech. Engrg., 350:123–153, June 2019. doi:10.1016/j.cma.2019.02.040.

  $\bullet $ Weinan E, Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations. J. Sci. Comput., 79(3):1534–1571, June 2019. doi:10.1007/s10915-018-00903-0.

  $\bullet $ Olga Varghese. Planarity of Cayley graphs of graph products of groups. Universitext., 342(6):1812–1819, June 2019. doi:10.1016/j.disc.2019.02.020.

  $\bullet $ Matthias Löwe and Kristina Schubert. On the limiting spectral density of random matrices filled with stochastic processes. Random Oper. Stoch. Equ., 27(2):89–105, June 2019. doi:10.1515/rose-2019-2008.

  $\bullet $ Tim de Laat and Federico Vigolo. Superexpanders from group actions on compact manifolds. Geometriae Dedicata, 200(1):287–302, June 2019. doi:10.1007/s10711-018-0371-0.

  $\bullet $ Thomas Krajewski, Matteo Laudonio, Romain Pascalie, and Adrian Tanasa. Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model. Phys. Rev. D, 99(12):126014, June 2019. doi:10.1103/physrevd.99.126014.

  $\bullet $ Christopher Deninger and Anton Mellit. $\mathbb Z R$ and rings of Witt vectors $W_S(R)$. Rend. Semin. Mat. Univ. Padova, 142:93–102, June 2019. doi:10.4171/rsmup/32.

  $\bullet $ Adam Andersson, Mario Hefter, Arnulf Jentzen, and Ryan Kurniawan. Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces. Potential Anal., 50:347–379, May 2019. doi:10.1007/s11118-018-9685-7.

  $\bullet $ Malte Scherff and Katrin Tent. Addendum to sharply 2-transitive groups of characteristic 0. J. Reine Angew. Math., 2019(750):239–240, May 2019. doi:10.1515/crelle-2017-0022.

  $\bullet $ Eliyahu Rips and Katrin Tent. Sharply 2-transitive groups of characteristic 0. J. Reine Angew. Math., 2019(750):227–238, May 2019. doi:10.1515/crelle-2016-0054.

  $\bullet $ Yannic Bröker and Chiranjib Mukherjee. Quenched central limit theorem for the stochastic heat equation in weak disorder. In Probability and analysis in interacting physical systems, volume 283 of Springer Proc. Math. Stat., pages 173–189. May 2019. doi:10.1007/978-3-030-15338-0_6.

  $\bullet $ Olga Varghese. A condition that prevents groups from acting fixed point free on cube complexes. Geometriae Dedicata, 200(1):85–91, May 2019. doi:10.1007/s10711-018-0361-2.

  $\bullet $ Christoph Lehrenfeld and Stephan Rave. Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem. Lect. Notes. Pure. Appl., May 2019. doi:10.1007/s10444-019-09691-z.

  $\bullet $ Kyungkeun Kang, Arnd Scheel, and Angela Stevens. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Nonlinearity, 32(6):2128–2146, May 2019. doi:10.1088/1361-6544/ab046d.

  $\bullet $ Eusebio Gardella and Hannes Thiel. Extending representations of Banach algebras to their biduals. Math. Z., May 2019. doi:10.1007/s00209-019-02315-8.

  $\bullet $ Manuel Friedrich. A compactness result in $ GSBV^p$ and applications to Gamma-convergence for free discontinuity problems. Calc. Var. PDE, 58(3):86, May 2019. doi:10.1007/s00526-019-1530-3.

  $\bullet $ Johannes Ebert and Oscar Randal-Williams. Infinite loop spaces and positive scalar curvature in the presence of a fundamental group. Geom. Topol., 23(3):1549–1610, May 2019. doi:10.2140/gt.2019.23.1549.

  $\bullet $ Dana Bartošová and Aleksandra Kwiatkowska. The universal minimal flow of the homeomorphism group of the Lelek fan. Trans. Amer. Math. Soc., 371(10):6995–7027, May 2019. doi:10.1090/tran/7548.

  $\bullet $ Joseph G. Conlon and André Schlichting. A non-local problem for the Fokker-Planck equation related to the Becker-Döring model. Discrete Contin. Dyn. Syst., 39(4):1821, April 2019. doi:10.3934/dcds.2019079.

  $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Deep optimal stopping. J. Mach. Learn. Res., 20(74):1–25, April 2019. doi:10.5555/3322706.3362015.

  $\bullet $ Zakhar Kabluchko and Hauke Seidel. Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Electron. J. Probab., 24:Paper No. 34, 25, April 2019. doi:10.1214/19-EJP295.

  $\bullet $ Hannes Thiel. Inductive limits of semiprojective $C^*$-algebras. Adv. Math., 347:597–618, April 2019. doi:10.1016/j.aim.2019.02.030.

  $\bullet $ Luca Lionni and Johannes Thürigen. Multi-critical behaviour of 4-dimensional tensor models up to order 6. Nucl. Phys. B, 941:600–635, April 2019. doi:10.1016/j.nuclphysb.2019.02.026.

  $\bullet $ Linus Kramer and Alexander Lytchak. Erratum to: “Homogeneous compact geometries”. Transform. Groups, 24(2):589–596, April 2019. doi:10.1007/s00031-019-09524-9.

  $\bullet $ Laura Brake and Wilhelm Winter. The Toeplitz algebra has nuclear dimension one. Bull. Lond. Math. Soc., 51(3):554–562, April 2019. doi:10.1112/blms.12250.

  $\bullet $ Tobias Barthel, Markus Hausmann, Niko Naumann, Thomas Nikolaus, Justin Noel, and Nathaniel Stapleton. The Balmer spectrum of the equivariant homotopy category of a finite abelian group. Invent. Math., 216(1):215–240, April 2019. doi:10.1007/s00222-018-0846-5.

  $\bullet $ Thomas Nikolaus and Peter Scholze. Correction to “On topological cyclic homology”. Acta Math., 222(1):215–218, March 2019. doi:10.4310/ACTA.2019.v222.n1.a2.

  $\bullet $ Harald Grosse and Raimar Wulkenhaar. How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Vietnam J. Math., 47(1):93–112, March 2019. doi:10.1007/s10013-018-0302-2.

  $\bullet $ Michael S. Weiss. Truncated operads and simplicial spaces. Tunis. J. Math., 1(1):109–126, March 2019. doi:10.2140/tunis.2019.1.109.

  $\bullet $ Aleksandra Kwiatkowska and Maciej Malicki. Automorphism groups of countable structures and groups of measurable functions. Israel J. Math., 230(1):335–360, March 2019. doi:10.1007/s11856-018-1825-7.

  $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Local shtukas and divisible local Anderson modules. Canadian J. Math., 71(5):1163–1207, March 2019. doi:10.4153/cjm-2018-016-2.

  $\bullet $ Yatir Halevi, Assaf Hasson, and Franziska Jahnke. A conjectural classification of strongly dependent fields. Bull. Symb. Log., 25(2):182–195, March 2019. doi:10.1017/bsl.2019.13.

  $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. Stochastic homogenisation of free-discontinuity problems. Arch. Ration. Mech. An., 233(2):935–974, March 2019. doi:10.1007/s00205-019-01372-x.

  $\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Fusion of defects. Mem. Amer. Math. Soc., 258(1237):vii+100, March 2019. doi:10.1090/memo/1237.

  $\bullet $ Kristin Courtney and Tatiana Shulman. Elements of $C^*$-algebras attaining their norm in a finite-dimensional representation. Canad. J. Math, 71(1):93–111, February 2019. doi:10.4153/CJM-2017-040-x.

  $\bullet $ Zakhar Kabluchko, Vladislav Vysotsky, and Dmitry Zaporozhets. A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Bernoulli, 25(1):521–548, February 2019. doi:10.3150/17-bej996.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. High-dimensional limit theorems for random vectors in $\ell _p^n$-balls. Commun. Contemp. Math., 21(1):1750092, 30, February 2019. doi:10.1142/S0219199717500924.

  $\bullet $ Zakhar Kabluchko and Dmitry Zaporozhets. Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Trans. Amer. Math. Soc., 372(3):1709–1733, February 2019. doi:10.1090/tran/7708.

  $\bullet $ Julian Grote, Zakhar Kabluchko, and Christoph Thäle. Limit theorems for random simplices in high dimensions. ALEA Lat. Am. J. Probab. Math. Stat., 16(1):141–177, February 2019. doi:10.30757/alea.v16-06.

  $\bullet $ Vladimir Berkovich, Walter Gubler, Peter Schneider, and Annette Werner. Non-Archimedean geometry and applications. Oberwolfach Rep., 16(1):513–575, February 2019. doi:10.4171/OWR/2019/8.

  $\bullet $ Stefan Hain, Mario Ohlberger, Mladjan Radic, and Karsten Urban. A hierarchical a posteriori error estimator for the Reduced Basis Method. Lect. Notes. Pure. Appl., 45(5-6):2191–2214, February 2019. doi:10.1007/s10444-019-09675-z.

  $\bullet $ Eusebio Gardella and Hannes Thiel. Representations of $p$-convolution algebras on $L^q$-spaces. Trans. Amer. Math. Soc., 371(3):2207–2236, February 2019. doi:10.1090/tran/7489.

  $\bullet $ Julian Feinauer, Simon Hein, Stephan Rave, Sebastian Schmidt, Daniel Westhoff, Jochen Zausch, Oleg Iliev, Arnulf Latz, Mario Ohlberger, and Volker Schmidt. MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction. J. Comput. Sci., 31:172–184, February 2019. doi:10.1016/j.jocs.2018.03.006.

  $\bullet $ Peter Eichelsbacher and Matthias Löwe. Lindeberg's method for moderate deviations and random summation. J. Theor. Probab., 32(2):872–897, February 2019. doi:10.1007/s10959-019-00881-5.

  $\bullet $ Sonja Cox, Arnulf Jentzen, and Felix Lindner. Weak convergence rates for temporal numerical approximations of stochastic wave equations with multiplicative noise. Numer. Math., January 2019. arXiv:1901.05535.

  $\bullet $ Arnulf Jentzen, Diyora Salimova, and Timo Welti. Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations. J. Math. Anal. App., 469:661–704, January 2019. doi:10.1016/j.jmaa.2018.09.032.

  $\bullet $ Mario Hefter and Arnulf Jentzen. On arbitrarily slow convergence rates for strong numerical approximations of Cox-Ingersoll-Ross processes and squared Bessel processes. Finance Stoch., 23:139–172, January 2019. doi:10.1007/s00780-018-0375-5.

  $\bullet $ Sebastian Becker and Arnulf Jentzen. Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations. Stochastic Process. Appl., 129:28–69, January 2019. doi:10.1016/j.spa.2018.02.008.

  $\bullet $ Hans-Joachim Hein. A Liouville theorem for the complex Monge-Ampère equation on product manifolds. Commun. Pure Appl. Math., 72(1):122–135, January 2019. doi:10.1002/cpa.21751.

  $\bullet $ Behrend Heeren, Martin Rumpf, and Benedikt Wirth. Variational time discretization of Riemannian splines. IMA J. Numer. Anal., 39(1):61–104, January 2019. doi:10.1093/imanum/drx077.

  $\bullet $ Karsten Grove, Burkhard Wilking, and Joseph Yeager. Almost non-negative curvature and rational ellipticity in cohomogeneity two. Ann. Inst. Fourier, 69(7):2921–2939, January 2019. doi:10.5802/aif.3340.

  $\bullet $ Patrick W. Dondl, Matteo Novaga, Benedikt Wirth, and Stephan Wojtowytsch. A phase-field approximation of the perimeter under a connectedness constraint. SIAM J. Math. Anal., 51(5):3902–3920, January 2019. doi:10.1137/18M1225197.

  $\bullet $ Tuuli Miinalainen, Atena Rezaei, Defne Us, Andreas Nüßing, Christian Engwer, Carsten H. Wolters, and Sampsa Pursiainen. A realistic, accurate and fast source modeling approach for the EEG forward problem. NeuroImage, 184:56 – 67, January 2019. doi:10.1016/j.neuroimage.2018.08.054.

  $\bullet $ Zakhar Kabluchko, Daniel Temesvari, and Christoph Thäle. Expected intrinsic volumes and facet numbers of random beta-polytopes. Math. Nachr., 292(1):79–105, January 2019. doi:10.1002/mana.201700255.

  $\bullet $ Michael Wiemeler. $S^1$-Equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera. J. Topol. Anal., pages 1–54, January 2019. doi:10.1142/s1793525319500766.

  $\bullet $ Bernhard Schmitzer and Benedikt Wirth. A framework for Wasserstein-1-type metrics. J. Convex Anal., 26(2):353–396, January 2019.

  $\bullet $ Xavier Pellet, Lucia Scardia, and Caterina Ida Zeppieri. Homogenization of high-contrast Mumford-Shah energies. SIAM J. Math. Anal., 51(3):1696–1729, January 2019. doi:10.1137/18m1189804.

  $\bullet $ Johannes Ebert. Index theory in spaces of manifolds. Math. Ann., 374(1-2):931–962, January 2019. doi:10.1007/s00208-019-01809-4.

  $\bullet $ Julia Brunken, Kathrin Smetana, and Karsten Urban. (Parametrized) first order transport equations: Realization of optimally stable Petrov-Galerkin methods. SIAM Journal on Scientific Computing, 41(1):A592–A621, January 2019. doi:10.1137/18m1176269.

  $\bullet $ Joan Bosa, Nathanial P. Brown, Yasuhiko Sato, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Covering dimension of $\rm C^*$-algebras and 2-coloured classification. Mem. Amer. Math. Soc., 257(1233):vii+97, January 2019. doi:10.1090/memo/1233.

  $\bullet $ Arthur Bartels and Mladen Bestvina. The Farrell-Jones conjecture for mapping class groups. Invent. Math., 215(2):651–712, January 2019. doi:10.1007/s00222-018-0834-9.

  $\bullet $ Gerold Alsmeyer and Fabian Buckmann. An arcsine law for Markov random walks. Stochastic Process. Appl., 129(1):223–239, January 2019. doi:10.1016/j.spa.2018.02.014.

  $\bullet $ Gerold Alsmeyer and Kilian Raschel. The extinction problem for a distylous plant population with sporophytic self-incompatibility. J. Math. Biol., 78(6):1841–1874, January 2019. doi:10.1007/s00285-019-01328-5.

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•  Preprints

  2023 - 2022 - 2021 - 2020 - 2019
  

  2024

  $\bullet $ Fabian Höfer and Niko A. Nikov. On growth of Sobolev norms for periodic nonlinear Schrödinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics. arXiv e-prints, December 2024. arXiv:2412.08630.

  $\bullet $ Arthur Bartels, Wolfgang Lueck, and Stefan Witzel. Algebraic K-theory of completed Kac-Moody groups. arXiv e-prints, December 2024. arXiv:2412.05105.

  $\bullet $ Luzie Kupffer, Mahan Mj, and Chiranjib Mukherjee. Randomized geodesic flow on hyperbolic groups. arXiv e-prints, November 2024. arXiv:2411.14350.

  $\bullet $ Romy Marie Merkel. Deformations of calibrated subbundles in noncompact manifolds of special holonomy via twisting by special sections. arXiv e-prints, November 2024. arXiv:2411.17648.

  $\bullet $ Azul Fatalini and Ralf Schindler. The transcendence degree of the reals over certain set-theoretical subfields. arXiv e-prints, November 2024. arXiv:2412.00616.

  $\bullet $ Hendrik Kleikamp and Mario Ohlberger. Adaptive model hierarchies for multi-query scenarios. arXiv e-prints, November 2024. arXiv:2411.17252.

  $\bullet $ Salvador Esquivel and Hendrik Weber. A priori bounds for the dynamic fractional $\phi ^4$ model on $\mathbb T^3$ in the full subcritical regime. arXiv e-prints, November 2024. arXiv:2411.16536.

  $\bullet $ Ben De Bondt and Alessandro Vignati. A metric lifting theorem. arXiv e-prints, November 2024. arXiv:2411.11127.

  $\bullet $ Jibril Ben Achour, Dario Benedetti, Martin Bojowald, Robert Brandenberger, Salvatore Butera, Renata Ferrero, Flaminia Giacomini, Kristina Giesel, Christophe Goeller, Tobias Haas, Philipp A. Höhn, Joshua Kirklin, Luca Marchetti, Daniele Oriti, Roberto Percacci, Antonio D. Pereira, Andreas G. A. Pithis, Mairi Sakellariadou, Sebastian Steinhaus, and Johannes Thürigen. Quantum gravity, hydrodynamics and emergent cosmology: a collection of perspectives. arXiv e-prints, pages arXiv:2411.12628, November 2024. arXiv:2411.12628.

  $\bullet $ Marlies Pirner and Gayrat Toshpulatov. Hypocoercivity for the non-linear semiconductor Boltzmann equation. arXiv e-prints, November 2024. arXiv:2411.11023.

  $\bullet $ Yonatan Harpaz, Thomas Nikolaus, and Victor Saunier. Trace methods for stable categories I: The linear approximation of algebraic K-theory. arXiv e-prints, November 2024. arXiv:2411.04743.

  $\bullet $ Niko Naumann, Luca Pol, and Maxime Ramzi. A symmetric monoidal fracture square. arXiv e-prints, November 2024. arXiv:2411.05467.

  $\bullet $ Thomas Tony. A note on Ricci-flat manifolds, parallel spinors and the Rosenberg index. arXiv e-prints, November 2024. arXiv:2411.03882.

  $\bullet $ Olivier Graf and Gustav Holzegel. Linear stability of Schwarzschild-Anti-de Sitter spacetimes III: Quasimodes and sharp decay of gravitational perturbations. arXiv e-prints, October 2024. arXiv:2410.21994.

  $\bullet $ Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. Quasilinear wave equations on Kerr black holes in the full subextremal range $|a|<M$. arXiv e-prints, October 2024. arXiv:2410.03639.

  $\bullet $ Michael Wiemeler. Witten genera of complete intersections. arXiv e-prints, October 2024. arXiv:2410.21412.

  $\bullet $ Joachim Cuntz. Quasihomomorphisms, split exactness and operator homotopy in KK. arXiv e-prints, October 2024. arXiv:2410.20125.

  $\bullet $ Benjamin Anderson-Sackaney, Tim de Laat, Ebrahim Samei, and Matthew Wiersma. Entropies and Poisson boundaries of random walks on groups with rapid decay. arXiv e-prints, October 2024. arXiv:2410.19689.

  $\bullet $ James O'Quinn. Weak mixing transformation which is Shannon orbit equivalent to a given ergodic transformation. arXiv e-prints, October 2024. arXiv:2410.13946.

  $\bullet $ Claudius Heyer and Lucas Mann. 6-functor formalisms and smooth representations. arXiv e-prints, October 2024. arXiv:2410.13038.

  $\bullet $ Benjamin Brück, Sam Hughes, Dawid Kielak, and Piotr Mizerka. Non-vanishing unitary cohomology of low-rank integral special linear groups. arXiv e-prints, October 2024. arXiv:2410.22310.

  $\bullet $ Benjamin Brück and Kevin Ivan Piterman. Connectivity of partial basis complexes of freely decomposable groups. arXiv e-prints, October 2024. arXiv:2410.17121.

  $\bullet $ Jonas Jalowy, Zakhar Kabluchko, and Matthias Löwe. Propagation of chaos and residual dependence in gibbs measures on finite sets. arXiv e-prints, October 2024. arXiv:2410.08004.

  $\bullet $ Grigoris Kopsacheilis and Wilhelm Winter. Diagonal comparison of ample c*-diagonals. arXiv e-prints, October 2024. arXiv:2410.05967.

  $\bullet $ Hendrik Kleikamp and Tizian Wenzel. Kernel methods in the deep Ritz framework: Theory and practice. arXiv e-prints, October 2024. arXiv:2410.03503.

  $\bullet $ Petr Naryshkin. URP, comparison, mean dimension, and sharp shift embeddability. arXiv e-prints, October 2024. arXiv:2410.01757.

  $\bullet $ Dennis Wulle and Masoumeh Zarei. On the geometry and topology of positively curved Eschenburg orbifolds. arXiv e-prints, September 2024. arXiv:2409.19105.

  $\bullet $ Achim Krause and Andrew Senger. Exact bounds for even vanishing of $K_* (\mathbb Z $$/p^n)$. arXiv e-prints, September 2024. arXiv:2409.20523.

  $\bullet $ Thomas Jack Munn and Oskar Riedler. $(λ,λ)$-eigenfunctions on compact manifolds. arXiv e-prints, September 2024. arXiv:2409.16932.

  $\bullet $ Björn Gebhard. On the energy-constrained optimal mixing problem for one-dimensional initial configurations. arXiv e-prints, September 2024. arXiv:2409.16886.

  $\bullet $ Samuel Evington, Abraham C. S. Ng, Aidan Sims, and Stuart White. Nuclear dimension of extensions of commutative C$^*$-algebras by Kirchberg algebras. arXiv e-prints, September 2024. arXiv:2409.12872.

  $\bullet $ Lennart Machill. Nonlinear relations of viscous stress and strain rate in nonlinear Viscoelasticity. arXiv e-prints, September 2024. arXiv:2409.11882.

  $\bullet $ David Meyer and Christian Seis. Steady ring-shaped vortex sheets. arXiv e-prints, September 2024. arXiv:2409.08220.

  $\bullet $ Cyrill B. Muratov, Theresa M. Simon, and Valeriy V. Slastikov. Existence of higher degree minimizers in the magnetic skyrmion problem. arXiv e-prints, September 2024. arXiv:2409.07205.

  $\bullet $ Philipp Sibbel and Wilhelm Winter. A Cantor spectrum diagonal in O$_2$. arXiv e-prints, September 2024. arXiv:2409.03511.

  $\bullet $ Raphael Lafargue, Luke Smith, Franck Vermet, Mathias Löwe, Ian Reid, Vincent Gripon, and Jack Valmadre. Oops, I sampled it again: Reinterpreting confidence intervals in few-shot learning. arXiv e-prints, September 2024. arXiv:2409.02850.

  $\bullet $ Martin J. Gander, Mario Ohlberger, and Stephan Rave. A Parareal algorithm without Coarse Propagator? arXiv e-prints, September 2024. arXiv:2409.02673.

  $\bullet $ Lukas Gonon, Arnulf Jentzen, Benno Kuckuck, Siyu Liang, Adrian Riekert, and Philippe von Wurstemberger. An overview on machine learning methods for partial differential equations: from physics informed neural networks to deep operator learning. arXiv e-prints, August 2024. arXiv:2408.13222.

  $\bullet $ Hendrik Kleikamp and Lukas Renelt. Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems. arXiv e-prints, August 2024. arXiv:2408.15900.

  $\bullet $ Martin Bays and Tingxiang Zou. An asymmetric version of Elekes-Szabó via group actions. arXiv e-prints, August 2024. arXiv:2408.14215.

  $\bullet $ Björn Schembera, Frank Wübbeling, Hendrik Kleikamp, Burkhard Schmidt, Aurela Shehu, Marco Reidelbach, Christine Biedinger, Jochen Fiedler, Thomas Koprucki, Dorothea Iglezakis, and Dominik Göddeke. Towards a knowledge graph for models and algorithms in applied mathematics. arXiv e-prints, August 2024. arXiv:2408.10003.

  $\bullet $ Alexander Kupers, Ezekiel Lemann, Cary Malkiewich, Jeremy Miller, and Robin J. Sroka. Scissors automorphism groups and their homology. arXiv e-prints, August 2024. arXiv:2408.08081.

  $\bullet $ Linus Kramer and Raquel Murat García. Fibrations and coset spaces for locally compact groups. arXiv e-prints, August 2024. arXiv:2408.03843.

  $\bullet $ Olivier Graf and Gustav Holzegel. Linear stability of Schwarzschild-Anti-de Sitter spacetimes II: Logarithmic decay of solutions to the Teukolsky system. arXiv e-prints, August 2024. arXiv:2408.02252.

  $\bullet $ Olivier Graf and Gustav Holzegel. Linear stability of Schwarzschild-Anti-de Sitter spacetimes I: The system of gravitational perturbations. arXiv e-prints, August 2024. arXiv:2408.02251.

  $\bullet $ Sira Busch and Hendrik Van Maldeghem. A characterisation of lines in finite Lie incidence geometries of classical type. arXiv e-prints, August 2024. arXiv:2408.02413.

  $\bullet $ Sira Busch, Jeroen Schillewaert, and Hendrik Van Maldeghem. Groups of projectivities and Levi subgroups in spherical buildings of simply laced type. arXiv e-prints, August 2024. arXiv:2407.09226.

  $\bullet $ Rufat Badal, Manuel Friedrich, Martin Kružík, and Lennart Machill. Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models. arXiv e-prints, July 2024. arXiv:2407.02035.

  $\bullet $ Simone Cecchini, Georg Frenck, and Rudolf Zeidler. Positive scalar curvature with point singularities. arXiv e-prints, July 2024. arXiv:2407.20163.

  $\bullet $ Steffen Dereich and Arnulf Jentzen. Convergence rates for the Adam optimizer. arXiv e-prints, July 2024. arXiv:2407.21078.

  $\bullet $ Steffen Dereich, Robin Graeber, and Arnulf Jentzen. Non-convergence of Adam and other adaptive stochastic gradient descent optimization methods for non-vanishing learning rates. arXiv e-prints, July 2024. arXiv:2407.08100.

  $\bullet $ Samuel Evington and Christopher Schafhauser. Uniform property $γ$ and finite dimensional tracial boundaries. arXiv e-prints, July 2024. arXiv:2407.16612.

  $\bullet $ Maximilian Tönies. K-theory of rank one reductive p-adic groups and Bernstein blocks. arXiv e-prints, July 2024. arXiv:2407.14929.

  $\bullet $ Shirly Geffen and Julian Kranz. Note on C*-algebras associated to boundary actions of hyperbolic 3-manifold groups. arXiv e-prints, July 2024. arXiv:2407.15215.

  $\bullet $ Alessandro Carlotto, Mario B. Schulz, and David Wiygul. Index growth not imputable to topology. arXiv e-prints, July 2024. arXiv:2407.11147.

  $\bullet $ Simone Ramello. Model theory of valued fields with an endomorphism. arXiv e-prints, July 2024. arXiv:2407.05043.

  $\bullet $ David P. Bourne, Bernhard Schmitzer, and Benedikt Wirth. Semi-discrete unbalanced optimal transport and quantization. arXiv e-prints, July 2024. arXiv:1808.01962v2.

  $\bullet $ Julia Ackermann, Arnulf Jentzen, Benno Kuckuck, and Joshua Lee Padgett. Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for space-time solutions of semilinear partial differential equations. arXiv e-prints, June 2024. arXiv:2406.10876.

  $\bullet $ Samuel Evington. Traces on the uniform tracial completion of $\mathcal Z$-stable C$^*$-algebras. arXiv e-prints, June 2024. arXiv:2407.00727.

  $\bullet $ Mario B. Schulz. Equivariant free boundary minimal discs and annuli in ellipsoids. arXiv e-prints, June 2024. arXiv:2406.13465.

  $\bullet $ David Kerr and Hanfeng Li. The small boundary property in products. arXiv e-prints, June 2024. arXiv:2406.12697.

  $\bullet $ Steffen Dereich, Arnulf Jentzen, and Adrian Riekert. Learning rate adaptive stochastic gradient descent optimization methods: numerical simulations for deep learning methods for partial differential equations and convergence analyses. arXiv e-prints, June 2024. arXiv:2406.14340.

  $\bullet $ Christoph Böhm and Urs Hartl. Moment map flow on real reductive Lie groups and GIT estimates. arXiv e-prints, June 2024. arXiv:2406.19340.

  $\bullet $ Chiranjib Mukherjee and Konstantin Recke. Coarse embeddability, $l^1$-compression and percolations on general graphs. arXiv e-prints, June 2024. arXiv:2406.04222.

  $\bullet $ Eugen Hellmann, Valentin Hernandez, and Benjamin Schraen. Patching and multiplicities of p-adic eigenforms. arXiv e-prints, June 2024. arXiv:2406.01129.

  $\bullet $ Martin Hils, Ehud Hrushovski, Jinhe Ye, and Tingxiang Zou. Lang-Weil type estimates in finite difference fields. arXiv e-prints, June 2024. arXiv:2406.00880.

  $\bullet $ Matthew Kennedy and Dan Ursu. Intermediate subalgebras for reduced crossed products of discrete groups. arXiv e-prints, June 2024. arXiv:2406.01546.

  $\bullet $ Leonardo Juliano and Johannes Thürigen. New fixed points from melonic interactions. arXiv e-prints, June 2024. arXiv:2406.01368.

  $\bullet $ Christian Seis, Emil Wiedemann, and Jakub Woźnicki. Strong convergence of vorticities in the 2D viscosity limit on a bounded domain. arXiv e-prints, June 2024. arXiv:2406.05860.

  $\bullet $ David Dereudre, Daniela Flimmel, Martin Huesmann, and Thomas Leblé. (non)-hyperuniformity of perturbed lattices. arXiv e-prints, May 2024. arXiv:2405.19881.

  $\bullet $ Thomas Nikolaus and Maria Yakerson. An alternative to spherical Witt vectors. arXiv e-prints, May 2024. arXiv:2405.09606.

  $\bullet $ E. Bolthausen, W. König, and C. Mukherjee. Self-repellent Brownian bridges in an interacting bose gas. arXiv e-prints, May 2024. arXiv:2405.08753.

  $\bullet $ Zhixiang Wu. Geometric translations of $(\varphi ,γ)$-modules for $\rm GL_2$$(\mathbb Q_p)$. arXiv e-prints, May 2024. arXiv:2405.16637.

  $\bullet $ Soufian Abja and Slawomir Dinew. Regularity of geodesics in the spaces of convex and plurisubharmonic functions II. arXiv e-prints, May 2024. arXiv:2405.09248.

  $\bullet $ Calista Bernard, Jeremy Miller, and Robin J. Sroka. Partial bases and homological stability of $\rm GL_n$$(R)$ revisited. arXiv e-prints, May 2024. arXiv:2405.09998.

  $\bullet $ Shachar Carmeli, Thomas Nikolaus, and Allen Yuan. Maps between spherical group rings. arXiv e-prints, May 2024. arXiv:2405.06448.

  $\bullet $ Laurenţiu Maxim and Jörg Schürmann. Weighted Ehrhart theory via equivariant toric geometry. arXiv e-prints, May 2024. arXiv:2405.02900.

  $\bullet $ Benjamin Antieau, Achim Krause, and Thomas Nikolaus. On the $K$-theory of $\bf Z$$/p^n$. arXiv e-prints, May 2024. arXiv:2405.04329.

  $\bullet $ Willian Corrêa, Valentin Ferenczi, Rafela Gesing, and Pedro Tradacete. Extremes of interpolation scales of Banach spaces. arXiv e-prints, May 2024. arXiv:2405.03867.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Rafaela Gesing, Grigoris Kopsacheilis, and Petr Naryshkin. Essential freeness, allostery and Z-stability of crossed products. arXiv e-prints, May 2024. arXiv:2405.04343.

  $\bullet $ Emanuele Bodon. Finite generation properties of the pro-$p$ Iwahori-Hecke $\rm Ext$-algebra. arXiv e-prints, May 2024. arXiv:2405.00916.

  $\bullet $ Hans-Joachim Hein, Man-Chun Lee, and Valentino Tosatti. Collapsing immortal kähler-ricci flows. arXiv e-prints, May 2024. arXiv:2405.04208.

  $\bullet $ Allen Juntao Fang, Jérémie Szeftel, and Arthur Touati. Spacelike initial data for black hole stability. arXiv e-prints, May 2024. arXiv:2405.02071.

  $\bullet $ Ralf Schindler and Taichi Yasuda. Martin's maximum$_c$$^*$$^,$$^+$$^+$ in $P_\max $ extensions of strong models of determinacy. arXiv e-prints, April 2024. arXiv:2404.12836.

  $\bullet $ Martin Huesmann and Thomas Leblé. The link between hyperuniformity, Coulomb energy, and Wasserstein distance to Lebesgue for two-dimensional point processes. arXiv e-prints, April 2024. arXiv:2404.18588.

  $\bullet $ Michael Juhos, Zakhar Kabluchko, and Joscha Prochno. Asymptotic theory of schatten classes. arXiv e-prints, April 2024. arXiv:2404.07145.

  $\bullet $ Julian Fischer, Sebastian Hensel, Tim Laux, and Theresa M. Simon. A weak-strong uniqueness principle for the Mullins-Sekerka equation. arXiv e-prints, April 2024. arXiv:2404.02682.

  $\bullet $ Konrad Bals. The topological Cartier–Raynaud ring. arXiv e-prints, April 2024. arXiv:2404.10724.

  $\bullet $ Anna Shalova, André Schlichting, and Mark Peletier. Singular-limit analysis of gradient descent with noise injection. arXiv e-prints, April 2024. arXiv:2404.12293.

  $\bullet $ Benjamin Brück. (non-)Vanishing of high-dimensional group cohomology. arXiv e-prints, April 2024. arXiv:2404.15026.

  $\bullet $ Edith Hübner. Animated λ-rings and Frobenius lifts. arXiv e-prints, April 2024. arXiv:2404.15040.

  $\bullet $ Elia Fusi, Ramiro A. Lafuente, and James Stanfield. The homogeneous generalized Ricci flow. arXiv e-prints, April 2024. arXiv:2404.15749.

  $\bullet $ Tim Keil, Mario Ohlberger, Felix Schindler, and Julia Schleuß. Local training and enrichment based on a residual localization strategy. arXiv e-prints, April 2024. arXiv:2404.16537.

  $\bullet $ Simone Cecchini, Sven Hirsch, and Rudolf Zeidler. Rigidity of spin fill-ins with non-negative scalar curvature. arXiv e-prints, April 2024. arXiv:2404.17533.

  $\bullet $ Christian Engwer, Mario Ohlberger, and Lukas Renelt. Construction of local reduced spaces for friedrichs' systems via randomized training. arXiv e-prints, April 2024. arXiv:2404.18839.

  $\bullet $ Joachim Cuntz and James Gabe. Generalized homomorphisms and KK with extra structure. arXiv e-prints, April 2024. arXiv:2404.06840.

  $\bullet $ Carlotta Giannelli, Sofia Imperatore, Lisa Maria Kreusser, Estefanía Loayza-Romero, Fatemeh Mohammadi, and Nelly Villamizar. A general formulation of reweighted least squares fitting. arXiv e-prints, April 2024. arXiv:2404.03742.

  $\bullet $ David Kerr, Grigoris Kopsacheilis, and Spyridon Petrakos. Bauer simplices and the small boundary property. arXiv e-prints, April 2024. arXiv:2404.04634.

  $\bullet $ Alexander Hock and Johannes Thürigen. Combinatorial Dyson-Schwinger equations of quartic matrix field theory. arXiv e-prints, April 2024. arXiv:2404.03389.

  $\bullet $ José Miguel Balado-Alves and Anna Siffert. Construction of $r$-harmonic submanifolds in spheres. arXiv e-prints, April 2024. arXiv:2404.02535.

  $\bullet $ Pramod N. Achar, João Lourenço, Timo Richarz, and Simon Riche. A modular ramified geometric Satake equivalence. arXiv e-prints, March 2024. arXiv:2403.10651.

  $\bullet $ Dugald Macpherson and Katrin Tent. Omega-categorical pseudofinite groups. arXiv e-prints, March 2024. arXiv:2403.17684.

  $\bullet $ Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, and Julius L. Shaneson. Equivariant toric geometry and Euler-Maclaurin formulae – an overview. arXiv e-prints, March 2024. arXiv:2403.19715.

  $\bullet $ Manuel Friedrich, Wojciech Górny, and Ulisse Stefanelli. The $\ell _1$ double-bubble problem in three dimensions. arXiv e-prints, March 2024. arXiv:2403.19295.

  $\bullet $ Marlies Pirner. A consistent kinetic Fokker-Planck model for gas mixtures. arXiv e-prints, March 2024. arXiv:2403.18478.

  $\bullet $ Laurenţiu Maxim and Jörg Schürmann. Weighted Ehrhart theory via mixed Hodge modules on toric varieties. arXiv e-prints, March 2024. arXiv:2403.17747.

  $\bullet $ Pascal Auscher, Cyril Imbert, and Lukas Niebel. Fundamental solutions to kolmogorov-fokker-planck equations with rough coefficients: existence, uniqueness, upper estimates. arXiv e-prints, March 2024. arXiv:2403.17468.

  $\bullet $ Pascal Auscher, Cyril Imbert, and Lukas Niebel. Weak solutions to Kolmogorov-Fokker-Planck equations: regularity, existence and uniqueness. arXiv e-prints, March 2024. arXiv:2403.17464.

  $\bullet $ Nicola de Nitti, David Meyer, and Christian Seis. Optimal regularity for the 2d Euler equations in the Yudovich class. arXiv e-prints, March 2024. arXiv:2403.13691.

  $\bullet $ David González-Álvaro and Masoumeh Zarei. Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen. arXiv e-prints, March 2024. arXiv:2403.13764.

  $\bullet $ Stefan Hoffelner. The global $\Sigma ^1_n$$_+$$_1$-uniformization property and $\mathsf B \mathsf P \mathsf F \mathsf A$. arXiv e-prints, March 2024. arXiv:2403.13527.

  $\bullet $ Andreas Lietz. An iteration theorem for $\omega _1$-preserving forcings. arXiv e-prints, March 2024. arXiv:2403.09018.

  $\bullet $ Andreas Lietz. Forcing "$\rm NS_\omega $$_1$ is $\omega _1$-dense" from large cardinals. arXiv e-prints, March 2024. arXiv:2403.09020.

  $\bullet $ Andreas Lietz. The axiom of choice in the κ-mantle. arXiv e-prints, March 2024. arXiv:2403.09015.

  $\bullet $ Gianluca Basso, Alessandro Codenotti, and Andrea Vaccaro. Surfaces and other peano continua with no generic chains. arXiv e-prints, March 2024. arXiv:2403.08667.

  $\bullet $ Antonio Tribuzio and Konstantinos Zemas. Energy barriers for boundary nucleation in a two-well model without gauge invariance. arXiv e-prints, March 2024. arXiv:2403.04567.

  $\bullet $ Gustav Holzegel, Georgios Mavrogiannis, and Renato Velozo Ruiz. A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes. arXiv e-prints, March 2024. arXiv:2403.02533.

  $\bullet $ Johannes Ebert. Tautological classes and higher signatures. arXiv e-prints, March 2024. arXiv:2403.02755.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. Non-convergence to global minimizers for Adam and stochastic gradient descent optimization and constructions of local minimizers in the training of artificial neural networks. arXiv e-prints, February 2024. arXiv:2402.05155.

  $\bullet $ R. Bazaes, C. Mukherjee, M. Sellke, and S.R.S. Varadhan. Effective mass of the fröhlich polaron and the landau-pekar-spohn conjecture. arXiv e-prints, February 2024. arXiv:2307.13058.

  $\bullet $ Manuel Friedrich, Manuel Seitz, and Ulisse Stefanelli. Nonlocal-to-local limit in linearized viscoelasticity. arXiv e-prints, February 2024. arXiv:2402.16386.

  $\bullet $ Francisco Cirelli, Pablo Groisman, Ruojun Huang, and Hernán Vivas. Scaling limit of Kuramoto model on random geometric graphs. arXiv e-prints, February 2024. arXiv:2402.15311.

  $\bullet $ Eusebio Gardella, Julian Kranz, and Andrea Vaccaro. Actions on classifiable C$^*$-algebras without equivariant property (SI). arXiv e-prints, February 2024. arXiv:2402.16637.

  $\bullet $ Benjamin Brück, Kevin I. Piterman, and Volkmar Welker. The common basis complex and the partial decomposition poset. arXiv e-prints, February 2024. arXiv:2402.10484.

  $\bullet $ Hendrik Kleikamp. Application of an adaptive model hierarchy to parametrized optimal control problems. arXiv e-prints, February 2024. arXiv:2402.10708.

  $\bullet $ Ajay Chandra, Guilherme de Lima Feltes, and Hendrik Weber. A priori bounds for 2-d generalised parabolic Anderson model. arXiv e-prints, February 2024. arXiv:2402.05544.

  $\bullet $ Manuel Friedrich, Camille Labourie, and Kerrek Stinson. Strong existence for free discontinuity problems in linear elasticity. arXiv e-prints, February 2024. arXiv:2402.09396.

  $\bullet $ Gerold Alsmeyer, Alexander Iksanov, and Zakhar Kabluchko. On decoupled standard random walks. arXiv e-prints, February 2024. arXiv:2402.05488.

  $\bullet $ Thomas Tony. Scalar curvature rigidity and the higher mapping degree. arXiv e-prints, February 2024. arXiv:2402.05834.

  $\bullet $ Farmer Schlutzenberg. Mice with Woodin cardinals from a Reinhardt. arXiv e-prints, February 2024. arXiv:2402.04065.

  $\bullet $ Alcides Buss and Siegfried Echterhoff. Deformation of fell bundles. arXiv e-prints, February 2024. arXiv:2402.04369.

  $\bullet $ Martin Huesmann and Bastian Müller. A Benamou-Brenier formula for transport distances between stationary random measures. arXiv e-prints, February 2024. arXiv:2402.04842.

  $\bullet $ Alexander Dunlap and Chiranjib Mukherjee. Additive-multiplicative stochastic heat equations, stationary solutions, and Cauchy statistics. arXiv e-prints, February 2024. arXiv:2402.02907.

  $\bullet $ Xin Fu, Hans-Joachim Hein, and Xumin Jiang. A continuous cusp closing process for negative Kähler-Einstein metrics. arXiv e-prints, January 2024. arXiv:2401.11468.

  $\bullet $ Pedro Boavida de Brito and Michael S. Weiss. The torus trick for configuration categories. arXiv e-prints, January 2024. arXiv:2401.00799.

  $\bullet $ Julian Kranz and Shintaro Nishikawa. Bernoulli shifts on additive categories and algebraic $K$-theory of wreath products. arXiv e-prints, January 2024. arXiv:2401.14806.

  $\bullet $ Samuel Evington, Sergio Girón Pacheco, and Corey Jones. Equivariant $\mathcal D$-stability for actions of tensor categories. arXiv e-prints, January 2024. arXiv:2401.14238.

  $\bullet $ Manuel Kunisch, Sascha Beutler, Christian Pilger, Friedemann Kiefer, Thomas Huser, and Benedikt Wirth. Active axial motion compensation in multiphoton-excited fluorescence microscopy. arXiv e-prints, January 2024. arXiv:2401.10598.

  $\bullet $ Christian Seis and Dominik Winkler. Stability of traveling waves for doubly nonlinear equations. arXiv e-prints, January 2024. arXiv:2401.10597.

  $\bullet $ Matthias Löwe and Sara Terveer. Spectral properties of the strongly assortative stochastic block model and their application to hitting times of random walks. arXiv e-prints, January 2024. arXiv:2401.07896.

  $\bullet $ Margarete Ketelsen, Simone Ramello, and Piotr Szewczyk. Definable henselian valuations in positive residue characteristic. arXiv e-prints, January 2024. arXiv:2401.06884.

  $\bullet $ Chun Yin Lam and André Schlichting. Variational convergence of exchange-driven stochastic particle systems in the thermodynamic limit. arXiv e-prints, January 2024. arXiv:2401.06696.

  $\bullet $ Petr Naryshkin and Spyridon Petrakos. $\mathcal Z $-stability of crossed products by topological full groups. arXiv e-prints, January 2024. arXiv:2401.06006.

  $\bullet $ Amandine Escalier and Camille Horbez. Graph products and measure equivalence: classification, rigidity, and quantitative aspects. arXiv e-prints, January 2024. arXiv:2401.04635.

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  2023

  $\bullet $ Michael Goldman, Martin Huesmann, and Felix Otto. Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem. arXiv e-prints, December 2023. arXiv:2312.07995.

  $\bullet $ Pedro Boavida de Brito and Michael S. Weiss. Presentations of configuration categories. arXiv e-prints, December 2023. arXiv:2312.17632.

  $\bullet $ Pedro Boavida de Brito and Michael S. Weiss. The configuration category of a covering space. arXiv e-prints, December 2023. arXiv:2312.17631.

  $\bullet $ Włodzimierz J. Charatonik, Aleksandra Kwiatkowska, Robert P. Roe, and Shujie Yang. Projective fraïssé limits of trees with confluent epimorphisms. arXiv e-prints, December 2023. arXiv:2312.16915.

  $\bullet $ Marco Amelio, Simon André, and Katrin Tent. Non-split sharply 2-transitive groups of odd positive characteristic. arXiv e-prints, December 2023. arXiv:2312.16992.

  $\bullet $ Roberto Araujo. Long-time behavior of awesome homogeneous Ricci flows. arXiv e-prints, December 2023. arXiv:2312.16517.

  $\bullet $ Emanuele Dotto, Achim Krause, Thomas Nikolaus, and Irakli Patchkoria. Witt vectors with coefficients and TR. arXiv e-prints, December 2023. arXiv:2312.12971.

  $\bullet $ Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré, and André Schlichting. A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport. arXiv e-prints, December 2023. arXiv:2312.13284.

  $\bullet $ Yifei Zhao. Half-integral levels. arXiv e-prints, December 2023. arXiv:2312.11058.

  $\bullet $ Diego Martínez and Federico Vigolo. Roe algebras of coarse spaces via coarse geometric modules. arXiv e-prints, December 2023. arXiv:2312.08907.

  $\bullet $ Becky Armstrong, Abraham C. S. Ng, Aidan Sims, and Yumiao Zhou. A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy. arXiv e-prints, December 2023. arXiv:2312.08683.

  $\bullet $ Kristin Courtney and Wilhelm Winter. Images of order zero maps. arXiv e-prints, December 2023. arXiv:2312.08215.

  $\bullet $ Giles Gardam. Non-trivial units of complex group rings. arXiv e-prints, December 2023. arXiv:2312.05240.

  $\bullet $ Stefan Hoffelner. A failure of $\Pi ^1_n$$_+$$_3$-reduction in the presence of $\Pi ^1_n$$_+$$_3$-separation. arXiv e-prints, December 2023. arXiv:2312.02540.

  $\bullet $ Ksenia Fedosova, Kim Klinger-Logan, and Danylo Radchenko. Convolution identities for divisor sums and modular forms. arXiv e-prints, December 2023. arXiv:2312.00722.

  $\bullet $ Matthias Löwe and Zakhar Kabluchko. Propagation of chaos in the random field curie-weiss model. arXiv e-prints, December 2023. arXiv:2312.01866.

  $\bullet $ Anusha M. Krishnan, Francesco Pediconi, and Sammy Sbiti. Toral symmetries of collapsed ancient solutions to the homogeneous ricci flow. arXiv e-prints, December 2023. arXiv:2312.01469.

  $\bullet $ Marco Mauritz, Bernhard Schmitzer, and Benedikt Wirth. A bayesian model for dynamic mass reconstruction from pet listmode data. arXiv e-prints, November 2023. arXiv:2311.17784.

  $\bullet $ Martin Huesmann, Francesco Mattesini, and Felix Otto. There is no stationary $p$-cyclically monotone Poisson matching in 2D. arXiv e-prints, November 2023. arXiv:2311.17687.

  $\bullet $ Harald Grosse, Naoyuki Kanomata, Akifumi Sako, and Raimar Wulkenhaar. Real symmetric $\Phi ^4$-matrix model as Calogero-Moser model. arXiv e-prints, November 2023. arXiv:2311.10974.

  $\bullet $ Johannes Anschütz, João Lourenço, Zhiyou Wu, and Jize Yu. Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic. arXiv e-prints, November 2023. arXiv:2311.04043.

  $\bullet $ Manuel Friedrich, Wojciech Górny, and Ulisse Stefanelli. A characterization of $\ell _1$ double bubbles with general interface interaction. arXiv e-prints, November 2023. arXiv:2311.07782.

  $\bullet $ David Kerr and Spyridon Petrakos. McDuff factors from amenable actions and dynamical alternating groups. arXiv e-prints, November 2023. arXiv:2311.08192.

  $\bullet $ Zakhar Kabluchko and Alexander Marynych. Divisibility properties of polynomial expressions of random integers. arXiv e-prints, November 2023. arXiv:2311.05369.

  $\bullet $ Murray Elder, Giles Gardam, Adam Piggott, Davide Spriano, and Kane Townsend. Graphs and groups with unique geodesics. arXiv e-prints, November 2023. arXiv:2311.03730.

  $\bullet $ Ksenia Fedosova, Julie Rowlett, and Genkai Zhang. Casimir energy of hyperbolic orbifolds with conical singularities. arXiv e-prints, November 2023. arXiv:2311.03331.

  $\bullet $ Christian Seis and Dominik Winkler. Fine large-time asymptotics for the axisymmetric Navier–Stokes equations. arXiv e-prints, November 2023. arXiv:2311.03914.

  $\bullet $ Maria Lünnemann. A geometric approach to the relative de Rham-Witt complex in the smooth, ℤ-torsion free case. arXiv e-prints, November 2023. arXiv:2311.02220.

  $\bullet $ Kevin Poljsak. Towards finding the second best Einstein metric in low dimensions. arXiv e-prints, November 2023. arXiv:2311.02404.

  $\bullet $ Johan Klemmensen. Mass inequality and stability of the positive mass theorem for Kähler manifolds. arXiv e-prints, November 2023. arXiv:2311.05588.

  $\bullet $ Benjamin Antieau, Achim Krause, and Thomas Nikolaus. Prismatic cohomology relative to δ-rings. arXiv e-prints, October 2023. arXiv:2310.12770.

  $\bullet $ Agatha Atkarskaya. Small cancellation rings are non-amenable. arXiv e-prints, October 2023. arXiv:2210.13303.

  $\bullet $ Björn Schembera, Frank Wübbeling, Hendrik Kleikamp, Christine Biedinger, Jochen Fiedler, Marco Reidelbach, Aurela Shehu, Burkhard Schmidt, Thomas Koprucki, Dorothea Iglezakis, and Dominik Göddeke. Ontologies for models and algorithms in applied mathematics and related disciplines. arXiv e-prints, October 2023. arXiv:2310.20443.

  $\bullet $ Arnulf Jentzen, Benno Kuckuck, and Philippe von Wurstemberger. Mathematical introduction to deep learning: methods, implementations, and theory. arXiv e-prints, October 2023. arXiv:2310.20360.

  $\bullet $ Oskar Riedler. Polynomial harmonic morphisms and eigenfamilies on spheres. arXiv e-prints, October 2023. arXiv:2310.19565.

  $\bullet $ Christian Engwer, Mario Ohlberger, and Lukas Renelt. Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems. arXiv e-prints, October 2023. arXiv:2310.19674.

  $\bullet $ José Miguel Balado-Alves. Polyharmonic hypersurfaces into complex space forms. arXiv e-prints, October 2023. arXiv:2310.14452.

  $\bullet $ Roberto Araujo. On the isometry group of immortal homogeneous ricci flows. arXiv e-prints, October 2023. arXiv:2310.18182.

  $\bullet $ Farmer Schlutzenberg. Mouse scales. arXiv e-prints, October 2023. arXiv:2310.19764.

  $\bullet $ Stefan Hoffeler, Paul Larson, Ralf Schindler, and Liuzhen Wu. PFA and the definability of the nonstationary ideal. arXiv e-prints, October 2023. arXiv:2310.13784.

  $\bullet $ David Meyer. Total $\mathbb A$-variation-type flows for general integrands. arXiv e-prints, October 2023. arXiv:2310.15283.

  $\bullet $ Marko Sobak. Einstein-Yang-Mills wormholes haunted by a phantom field. arXiv e-prints, October 2023. arXiv:2310.14367.

  $\bullet $ Anusha M. Krishnan and Michael Wiemeler. $10$-dimensional positively curved manifolds with $t^3$-symmetry. arXiv e-prints, October 2023. arXiv:2310.12689.

  $\bullet $ Michael Wiemeler. On a conjecture of Stolz in the toric case. arXiv e-prints, October 2023. arXiv:2310.08456.

  $\bullet $ M Ali Asadi-Vasfi, Hannes Thiel, and Eduard Vilalta. Ranks of soft operators in nowhere scattered c*-algebras. arXiv e-prints, October 2023. arXiv:2310.00663.

  $\bullet $ Markus Banagl, Jörg Schürmann, and Dominik J. Wrazidlo. Topological gysin coherence for algebraic characteristic classes of singular spaces. arXiv e-prints, October 2023. arXiv:2310.15042.

  $\bullet $ Urs Hartl and Yujie Xu. Uniformizing the moduli stacks of global $G$-shtukas II. arXiv e-prints, September 2023. arXiv:2309.17441.

  $\bullet $ Stefania Trentin. On the Rapoport-Zink space for $\rm GU(2,4)$ over a ramified prime. arXiv e-prints, September 2023. arXiv:2309.11290.

  $\bullet $ Samuel M. Corson, Sam Hughes, Philip Möller, and Olga Varghese. Higman-Thompson groups and profinite properties of right-angled Coxeter groups. arXiv e-prints, September 2023. arXiv:2309.06213.

  $\bullet $ Nadav Meir and Rob Sullivan. The externally definable Ramsey property and fixed points on type spaces. arXiv e-prints, September 2023. arXiv:2309.06522.

  $\bullet $ Gideon Amir, Guy Blachar, Maria Gerasimova, and Gady Kozma. Lipschitz harmonic functions on vertex-transitive graphs. arXiv e-prints, September 2023. arXiv:2309.06247.

  $\bullet $ Kieu Hieu Nguyen. On categorical local Langlands program for $GL_n$. arXiv e-prints, September 2023. arXiv:2309.16505.

  $\bullet $ Rishabh S. Gvalani and Markus Tempelmayr. Stochastic estimates for the thin-film equation with thermal noise. arXiv e-prints, September 2023. arXiv:2309.15829.

  $\bullet $ Julia Ackermann, Arnulf Jentzen, Thomas Kruse, Benno Kuckuck, and Joshua Lee Padgett. Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the $L^p$-sense. arXiv e-prints, September 2023. arXiv:2309.13722.

  $\bullet $ Michael Kartmann, Tim Keil, Mario Ohlberger, Stefan Volkwein, and Barbara Kaltenbacher. Adaptive reduced basis trust region methods for parameter identification problems. arXiv e-prints, September 2023. arXiv:2309.07627.

  $\bullet $ Rob Sullivan. Sparse graphs and the fixed points on type spaces property. arXiv e-prints, September 2023. arXiv:2309.06829.

  $\bullet $ Benjamin Brück and Zachary Himes. Top-degree rational cohomology in the symplectic group of a number ring. arXiv e-prints, September 2023. arXiv:2309.05456.

  $\bullet $ Thorben Kastenholz and Robin J. Sroka. Simplicial bounded cohomology and stability. arXiv e-prints, September 2023. arXiv:2309.05024.

  $\bullet $ Becky Armstrong, Lisa Orloff Clark, Mahya Ghandehari, Eun Ji Kang, and Dilian Yang. Representing topological full groups in Steinberg algebras and $\mathsf C^*$-algebras. arXiv e-prints, September 2023. arXiv:2309.04927.

  $\bullet $ Fabian Hebestreit, Achim Krause, and Maxime Ramzi. A note on quadratic forms. arXiv e-prints, September 2023. arXiv:2308.01795.

  $\bullet $ Roland Herzog and Estefanía Loayza-Romero. A discretize-then-optimize approach to PDE-constrained shape optimization. arXiv e-prints, August 2023. arXiv:2109.00076.

  $\bullet $ Alessandro Carlotto, Mario B. Schulz, and David Wiygul. Disc stackings and their Morse index. arXiv e-prints, August 2023. arXiv:2308.07138.

  $\bullet $ Alessandro Codenotti and Daniel Max Hoffmann. Ranks in Ellis semigroups and model theory. arXiv e-prints, August 2023. arXiv:2308.05477.

  $\bullet $ Adam Afandi. Stationary descendents and the discriminant modular form. arXiv e-prints, August 2023. arXiv:2308.14198.

  $\bullet $ Anna-Maria Ammer and Katrin Tent. On the model theory of open generalized polygons. arXiv e-prints, August 2023. arXiv:2308.03677.

  $\bullet $ Beomjun Choi and Christian Seis. Finite-dimensional leading order dynamics for the fast diffusion equation near extinction. arXiv e-prints, August 2023. arXiv:2308.15032.

  $\bullet $ Brian C. Hall, Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko. Zeros of random polynomials undergoing the heat flow. arXiv e-prints, August 2023. arXiv:2308.11685.

  $\bullet $ Martin Hils, Martina Liccardo, and Pierre Touchard. Stably embedded pairs of ordered abelian groups. arXiv e-prints, August 2023. arXiv:2308.09989.

  $\bullet $ Tim de Laat, Federico Vigolo, and Jeroen Winkel. Dynamical propagation and Roe algebras of warped spaces. arXiv e-prints, August 2023. arXiv:2308.07006.

  $\bullet $ Sebastian Throm. Continuum limit for interacting systems on adaptive networks. arXiv e-prints, August 2023. arXiv:2308.15433.

  $\bullet $ Luis Paris and Olga Varghese. Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups. arXiv e-prints, August 2023. doi:10.48550/arXiv.2211.16906.

  $\bullet $ Christoph Böhm and Ramiro A. Lafuente. Non-compact Einstein manifolds with unimodular isometry group. arXiv e-prints, July 2023. arXiv:2307.13235.

  $\bullet $ Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, and Jacqui Ramagge. The local bisection hypothesis for twisted groupoid $\mathrm C^*$-algebras. arXiv e-prints, July 2023. arXiv:2307.13814.

  $\bullet $ Finn Bjarne Jost. Tautological intersection numbers and order-consecutive partition sequences. arXiv e-prints, July 2023. arXiv:2307.15825.

  $\bullet $ Giada Franz and Mario B. Schulz. Topological control for min-max free boundary minimal surfaces. arXiv e-prints, July 2023. arXiv:2307.00941.

  $\bullet $ Qi Yao. Geodesic equations on asymptotically locally Euclidean Kähler manifolds. arXiv e-prints, July 2023. arXiv:2307.01991.

  $\bullet $ Hendrik Kleikamp, Martin Lazar, and Cesare Molinari. Be greedy and learn: Efficient and certified algorithms for parametrized optimal control problems. arXiv e-prints, July 2023. arXiv:2307.15590.

  $\bullet $ Francesco Fournier-Facio, Maria Gerasimova, and Pieter Spaas. Local Hilbert–Schmidt stability. arXiv e-prints, July 2023. arXiv:2307.13155.

  $\bullet $ Lucia Scardia, Konstantinos Zemas, and Caterina Ida Zeppieri. Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations. arXiv e-prints, July 2023. arXiv:2307.11605.

  $\bullet $ Simone Cecchini, Martin Lesourd, and Rudolf Zeidler. Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields. arXiv e-prints, July 2023. arXiv:2307.05277.

  $\bullet $ Farmer Schlutzenberg and John Steel. $\Sigma _1$ gaps as derived models and correctness of mice. arXiv e-prints, July 2023. arXiv:2307.08856.

  $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, and Srinivasa R. S. Varadhan. Effective mass of the Fröhlich Polaron and the Landau-Pekar-Spohn conjecture. arXiv e-prints, July 2023. arXiv:2307.13058.

  $\bullet $ Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe, and Alexander Marynych. When does the chaos in the Curie-Weiss model stop to propagate? arXiv e-prints, July 2023. arXiv:2307.05335.

  $\bullet $ Sam C. Collingbourne and Gustav Holzegel. Uniform boundedness for solutions to the Teukolsky equation on Schwarzschild from conservation laws of linearised gravity. arXiv e-prints, July 2023. arXiv:2307.05458.

  $\bullet $ Christoph Böhm, Timothy Buttsworth, and Brian Clarke. Scalar curvature along Ebin geodesics. arXiv e-prints, July 2023. arXiv:2307.15788.

  $\bullet $ Jan Nienhaus and Matthias Wink. New expanding Ricci solitons starting in dimension four. arXiv e-prints, July 2023. arXiv:2307.16683.

  $\bullet $ Anne Bernand-Mantel, Sarah Barnova, Anaïs Fondet, Cyrill B. Muratov, and Theresa M. Simon. Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets. arXiv e-prints, June 2023. arXiv:2306.01413.

  $\bullet $ Antonio Esposito, Georg Heinze, Jan-Frederik Pietschmann, and André Schlichting. Graph-to-local limit for a multi-species nonlocal cross-interaction system. arXiv e-prints, June 2023. arXiv:2306.17414.

  $\bullet $ Leonardo Tolomeo and Hendrik Weber. Phase transition for invariant measures of the focusing Schrödinger equation. arXiv e-prints, June 2023. arXiv:2306.07697.

  $\bullet $ Farmer Schlutzenberg. The initial segment condition for $\kappa ^+$-supercompactness. arXiv e-prints, June 2023. arXiv:2306.13827.

  $\bullet $ Arthur Bartels and Wolfgang Lueck. Almost equivariant maps for td-groups. arXiv e-prints, June 2023. arXiv:2306.00727.

  $\bullet $ Gaëtan Borot and Raimar Wulkenhaar. A short note on BKP for the Kontsevich matrix model with arbitrary potential. arXiv e-prints, June 2023. arXiv:2306.01501.

  $\bullet $ Petr Naryshkin and Andrea Vaccaro. Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups. arXiv e-prints, June 2023. arXiv:2306.02056.

  $\bullet $ Anastasiia Hraivoronska, André Schlichting, and Oliver Tse. Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit. arXiv e-prints, June 2023. arXiv:http://arxiv.org/abs/2306.02226.

  $\bullet $ Arthur Bartels and Wolfgang Lueck. Recipes to compute the algebraic $\mathrm K$-theory of Hecke algebras of reductive $p$-adic groups. arXiv e-prints, June 2023. arXiv:2306.01510.

  $\bullet $ Arthur Bartels and Wolfgang Lueck. Inheritance properties of the Farrell-Jones conjecture for totally disconnected groups. arXiv e-prints, June 2023. arXiv:2306.01518.

  $\bullet $ Antonio Esposito, Georg Heinze, and André Schlichting. Graph-to-local limit for the nonlocal interaction equation. arXiv e-prints, June 2023. arXiv:2306.03475.

  $\bullet $ Arthur Bartels and Wolfgang Lueck. Algebraic $\mathrm K$-theory of reductive $p$-adic groups. arXiv e-prints, June 2023. arXiv:2306.03452.

  $\bullet $ Christopher Deninger and Michael Wibmer. On the proalgebraic fundamental group of topological spaces and amalgamated products of affine group schemes. arXiv e-prints, June 2023. arXiv:2306.03296.

  $\bullet $ Zakhar Kabluchko, Alexander Marynych, and Kilian Raschel. Random walks in the high-dimensional limit II: The crinkled subordinator. arXiv e-prints, June 2023. arXiv:2306.04747.

  $\bullet $ Damien Junger. Cohomologie mod $p$ des fibrés en droites équivariants sur le demi-plan de Drinfeld. arXiv e-prints, June 2023. arXiv:2306.09007.

  $\bullet $ Quentin Gazda and Damien Junger. Pour une définition commune des courbes elliptiques et modules de Drinfeld. arXiv e-prints, June 2023. arXiv:2306.13160.

  $\bullet $ Sebastian Throm. Uniqueness of measure solutions for multi-component coagulation equations. arXiv e-prints, June 2023. arXiv:2303.00775.

  $\bullet $ Alessandro Berarducci, Marcello Mamino, and Rosario Mennuni. Vector spaces with a union of independent subspaces. arXiv e-prints, June 2023. arXiv:2209.03867.

  $\bullet $ Alexander Hock. Genus permutations and genus partitions. arXiv e-prints, June 2023. doi:10.48550/arXiv.2306.16237.

  $\bullet $ Benjamin Brück and Robin J. Sroka. Apartment classes of integral symplectic groups. arXiv e-prints, May 2023. arXiv:2305.17697.

  $\bullet $ Alcides Buss and Siegfried Echterhoff. A new approach to (exotic) deformation of $\mathrm C^*$-algebras via coactions. arXiv e-prints, May 2023. arXiv:2305.09997.

  $\bullet $ James O'Quinn. Finitary codings of finite expectation between shifts over free groups. arXiv e-prints, May 2023. arXiv:2305.02872.

  $\bullet $ Joseph Ben Geloun, Andreas G. A. Pithis, and Johannes Thürigen. Qft with tensorial and local degrees of freedom: Phase structure from functional renormalization. arXiv e-prints, May 2023. arXiv:2305.06136.

  $\bullet $ Philip Möller and Olga Varghese. On quotients of Coxeter groups. arXiv e-prints, May 2023. arXiv:2305.06207.

  $\bullet $ Peter Schneider and Claus Sorensen. Dg-Hecke duality and tensor products. arXiv e-prints, May 2023. arXiv:2305.08795.

  $\bullet $ Maria Gerasimova and Konstantin Shchepin. Stability of amalgamated free products and HNN extensions. arXiv e-prints, May 2023. arXiv:2305.08720.

  $\bullet $ Sylvy Anscombe, Philip Dittmann, and Franziska Jahnke. Ax-Kochen-Ershov principles for finitely ramified henselian fields. arXiv e-prints, May 2023. arXiv:2305.12145.

  $\bullet $ Tamir Hemo, Timo Richarz, and Jakob Scholbach. Constructible sheaves on schemes. arXiv e-prints, May 2023. arXiv:2305.18131.

  $\bullet $ André Guerra, Xavier Lamy, and Konstantinos Zemas. Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension. arXiv e-prints, May 2023. arXiv:2305.19886.

  $\bullet $ Maria Gerasimova and Nicolas Monod. A family of exotic group $\mathrm C^*$-algebras. arXiv e-prints, May 2023. arXiv:2305.01990.

  $\bullet $ Alessandro Codenotti. Some examples of tame dynamical systems answering questions of Glasner and Megrelishvili. arXiv e-prints, May 2023. arXiv:2305.00726.

  $\bullet $ Luis Paris and Olga Varghese. The growth series of Dyer groups. arXiv e-prints, May 2023. arXiv:2305.09796.

  $\bullet $ Robin Bartlett. Cycles relations in the affine Grassmannian and applications to Breuil–Mézard for $G$-crystalline representations. arXiv e-prints, May 2023. arXiv:2305.06455.

  $\bullet $ Samuel M. Corson, Alexander Olshanskii, and Olga Varghese. Steep uncountable groups. arXiv e-prints, May 2023. arXiv:2305.02953.

  $\bullet $ Brian Hall, Ching-Wei Ho, Jonas Jalowy, and Zakhar Kabluchko. The heat flow, GAF, and SL(2;R). arXiv e-prints, April 2023. doi:2304.06665.

  $\bullet $ Alexander Jercher, Sebastian Steinhaus, and Johannes Thürigen. Curvature effects in the spectral dimension of spin foams. arXiv e-prints, April 2023. arXiv:2304.13058.

  $\bullet $ Matthias Erbar, Martin Huesmann, Jonas Jalowy, and Bastian Müller. Optimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropy. arXiv e-prints, April 2023. arXiv:2304.11145.

  $\bullet $ Shirly Geffen and Dan Ursu. Simplicity of crossed products by FC-hypercentral groups. arXiv e-prints, April 2023. arXiv:2304.07852.

  $\bullet $ Shanxiao Huang. Families of paraboline $(\varphi , \Gamma _K)$-modules. arXiv e-prints, April 2023. arXiv:2304.06525.

  $\bullet $ Adrian Riekert. Deep neural network approximation of composite functions without the curse of dimensionality. arXiv e-prints, April 2023. arXiv:2304.05790.

  $\bullet $ Lisa Beck, Eleonora Cinti, and Christian Seis. Optimal regularity of isoperimetric sets with Hölder densities. arXiv e-prints, April 2023. arXiv:2304.05867.

  $\bullet $ Franziska Jahnke and Konstantinos Kartas. Beyond the Fontaine-Wintenberger theorem. arXiv e-prints, April 2023. arXiv:2304.05881.

  $\bullet $ Konstantin Ardakov and Peter Schneider. Stability in the category of smooth mod-$p$ representations of $\mathrm S \mathrm L_2(\mathbb Q_p)$. arXiv e-prints, April 2023. arXiv:2304.02585.

  $\bullet $ Petr Naryshkin. Group extensions preserve almost finiteness. arXiv e-prints, April 2023. arXiv:2304.02456.

  $\bullet $ Kristin Courtney. Completely positive approximations and inductive systems. arXiv e-prints, April 2023. arXiv:2304.02325.

  $\bullet $ Kristin Courtney and Wilhelm Winter. Nuclearity and CPC$^*$-systems. arXiv e-prints, April 2023. arXiv:2304.01332.

  $\bullet $ Gunnar Birke, Christian Engwer, Sandra May, and Florian Streitbürger. Domain of dependence stabilization for the acoustic wave equation on 2D cut-cell meshes. arXiv e-prints, April 2023. arXiv:2304.04323.

  $\bullet $ José Miguel Balado-Alves. Explicit harmonic self-maps of complex projective spaces. arXiv e-prints, April 2023. arXiv:2304.00851.

  $\bullet $ Antje Dabeler, Emilie Mai Elkiær, Maria Gerasimova, and Tim de Laat. Unitary $L^p$$^+$-representations of almost automorphism groups. arXiv e-prints, April 2023. arXiv:2304.01079.

  $\bullet $ Agatha Atkarskaya, Eliyahu Rips, and Katrin Tent. The Burnside problem for odd exponents. arXiv e-prints, April 2023. arXiv:2303.15997.

  $\bullet $ Omer Ben-Neria, Itay Kaplan, and Tingxiang Zou. The model theory of geometric random graphs. arXiv e-prints, April 2023. arXiv:2303.11292.

  $\bullet $ Gideon Amir, Guy Blachar, Maria Gerasimova, and Gady Kozma. Probabilistic laws on infinite groups. arXiv e-prints, April 2023. arXiv:2304.09144.

  $\bullet $ Jan Nienhaus and Matthias Wink. Einstein metrics on the ten-sphere. arXiv e-prints, April 2023. arXiv:2303.04832.

  $\bullet $ Athanasios Chatzikaleas and Jacques Smulevici. Time periodic solutions and Nekhoroshev stability to non-linear massive Klein-Gordon equations in anti-de Sitter. arXiv e-prints, April 2023. arXiv:2304.12784.

  $\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. Derivation of effective theories for thin 3D nonlinearly elastic rods with voids. arXiv e-prints, April 2023. arXiv:2304.05289.

  $\bullet $ Alexander Hock. Laplace transform of the $x - y$ symplectic transformation formula in topological recursion. arXiv e-prints, April 2023. arXiv:2304.03032.

  $\bullet $ Lena Baumann and Marlies Pirner. Linear Landau damping for a two-species Vlasov-Poisson system for electrons and ions. arXiv e-prints, March 2023. arXiv:2303.14981.

  $\bullet $ Steffen Dereich and Sebastian Kassing. On the existence of optimal shallow feedforward networks with ReLU activation. arXiv e-prints, March 2023. arXiv:2303.03950.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Mathias Sonnleitner. A probabilistic approach to Lorentz balls. arXiv e-prints, March 2023. arXiv:2303.04728.

  $\bullet $ Zakhar Kabluchko, Daniel Rosen, and Christoph Thäle. A quantitative central limit theorem for Poisson horospheres in high dimensions. arXiv e-prints, March 2023. arXiv:2303.17827.

  $\bullet $ Chiranjib Mukherjee and Konstantin Recke. Haagerup property and group-invariant percolation. arXiv e-prints, March 2023. arXiv:2303.17429.

  $\bullet $ Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, and Julius L. Shaneson. Equivariant toric geometry and Euler-Maclaurin formulae. arXiv e-prints, March 2023. arXiv:2303.16785.

  $\bullet $ Lukas Renelt, Mario Ohlberger, and Christian Engwer. An optimally stable approximation of reactive transport using discrete test and infinite trial spaces. arXiv e-prints, March 2023. arXiv:2303.15943.

  $\bullet $ Kang Li, Hung-Chang Liao, and Wilhelm Winter. The diagonal dimension of sub-$\mathrm C^*$-algebras. arXiv e-prints, March 2023. arXiv:2303.16762.

  $\bullet $ Claudius Heyer. The geometrical lemma for smooth representations in natural characteristic. arXiv e-prints, March 2023. arXiv:2303.14721.

  $\bullet $ Michael Wiemeler. On circle actions with exactly three fixed points. arXiv e-prints, March 2023. arXiv:2303.15396.

  $\bullet $ Jörg Schürmann, Connor Simpson, and Botong Wang. A new generic vanishing theorem on homogeneous varieties and the positivity conjecture for triple intersections of Schubert cells. arXiv e-prints, March 2023. arXiv:2303.13833.

  $\bullet $ David González-Álvaro and Masoumeh Zarei. Positive intermediate curvatures and Ricci flow. arXiv e-prints, March 2023. arXiv:2303.08641.

  $\bullet $ Paolo Grazieschi, Konstantin Matetski, and Hendrik Weber. The dynamical Ising-Kac model in 3D converges to $\Phi ^4_3$. arXiv e-prints, March 2023. arXiv:2303.10242.

  $\bullet $ Paolo Grazieschi, Konstantin Matetski, and Hendrik Weber. Martingale-driven integrals and singular SPDEs. arXiv e-prints, March 2023. arXiv:2303.10245.

  $\bullet $ Christian Beck, Arnulf Jentzen, Konrad Kleinberg, and Thomas Kruse. Nonlinear Monte Carlo methods with polynomial runtime for Bellman equations of discrete time high-dimensional stochastic optimal control problems. arXiv e-prints, March 2023. arXiv:2303.03390.

  $\bullet $ Andrea Vaccaro. Ultraproducts of factorial $W^*$-bundles. arXiv e-prints, March 2023. arXiv:2303.01942.

  $\bullet $ Tim de Laat and Mikael de la Salle. Actions of higher rank groups on uniformly convex Banach spaces. arXiv e-prints, March 2023. arXiv:2303.01405.

  $\bullet $ Tim Keil, Mario Ohlberger, and Felix Schindler. Adaptive localized reduced basis methods for large scale parameterized systems. arXiv e-prints, March 2023. arXiv:2303.03074.

  $\bullet $ Martin Huesmann and Bastian Müller. Transportation of random measures not charging small sets. arXiv e-prints, March 2023. arXiv:2303.00504.

  $\bullet $ Nicolas Clozeau and Francesco Mattesini. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. arXiv e-prints, March 2023. arXiv:2303.00353.

  $\bullet $ Ramon Antoine, Francesc Perera, Leonel Robert, and Hannes Thiel. Traces on ultrapowers of $\mathsf C^*$-algebras. arXiv e-prints, March 2023. arXiv:2303.01929.

  $\bullet $ Josua Sassen, Klaus Hildebrandt, Martin Rumpf, and Benedikt Wirth. Parametrizing product shape manifolds by composite networks. arXiv e-prints, February 2023. arXiv:2302.14665.

  $\bullet $ Fridolin Melong and Raimar Wulkenhaar. Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra. arXiv e-prints, February 2023. arXiv:2303.08073.

  $\bullet $ Yifei Zhao. Spectral decomposition of genuine cusp forms over global function fields. arXiv e-prints, February 2023. arXiv:2302.13023.

  $\bullet $ Tizian Wenzel, Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, and Felix Schindler. Application of deep kernel models for certified and adaptive RB-ML-ROM surrogate modeling. arXiv e-prints, February 2023. arXiv:2302.14526.

  $\bullet $ Steffen Dereich, Arnulf Jentzen, and Sebastian Kassing. On the existence of minimizers in shallow residual ReLU neural network optimization landscapes. arXiv e-prints, February 2023. arXiv:2302.14690.

  $\bullet $ Alcides Buss and Diego Martínez. Approximation properties of Fell bundles over inverse semigroups and non-Hausdorff groupoids. arXiv e-prints, February 2023. arXiv:2302.14466.

  $\bullet $ Julia Schleuß and Kathrin Smetana. Deim vs. leverage scores for time-parallel construction of problem-adapted basis functions. arXiv e-prints, February 2023. arXiv:2302.00348.

  $\bullet $ Achim Krause, Jonas McCandless, and Thomas Nikolaus. Polygonic spectra and TR with coefficients. arXiv e-prints, February 2023. arXiv:2302.07686.

  $\bullet $ Arnulf Jentzen, Adrian Riekert, and Philippe von Wurstemberger. Algorithmically designed artificial neural networks (ADANNs): Higher order deep operator learning for parametric partial differential equations. arXiv e-prints, February 2023. arXiv:2302.03286.

  $\bullet $ Gustav Holzegel and Christopher Kauffman. The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms. arXiv e-prints, February 2023. arXiv:2302.06387.

  $\bullet $ Eusebio Gardella and Owen Tanner. Generalisations of Thompson's group $V$ arising from purely infinite groupoids. arXiv e-prints, February 2023. arXiv:2302.04078.

  $\bullet $ Martin Burger, Matthias Erbar, Franca Hoffmann, Daniel Matthes, and André Schlichting. Covariance-modulated optimal transport and gradient flows. arXiv e-prints, February 2023. arXiv:2302.07773.

  $\bullet $ Jan Dobrowolski and Rosario Mennuni. The amalgamation property for automorphisms of ordered abelian groups. arXiv e-prints, February 2023. arXiv:2209.03944.

  $\bullet $ Florian Streitbürger, Gunnar Birke, Christian Engwer, and Sandra May. DoD stabilization for higher-order advection in two dimensions. arXiv e-prints, January 2023. arXiv:2301.02799.

  $\bullet $ Zakhar Kabluchko, Oleksandr Marynych, and Kilian Raschel. Multivariate multiplicative functions of uniform random vectors in large integer domains. arXiv e-prints, January 2023. arXiv:2301.13586.

  $\bullet $ Alexander Hock and Raimar Wulkenhaar. Blobbed topological recursion from extended loop equations. arXiv e-prints, January 2023. arXiv:2301.04068.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. Sectional Voronoi tessellations: Characterization and high-dimensional limits. arXiv e-prints, January 2023. arXiv:2301.03297.

  $\bullet $ Lukas Gonon, Robin Graeber, and Arnulf Jentzen. The necessity of depth for artificial neural networks to approximate certain classes of smooth and bounded functions without the curse of dimensionality. arXiv e-prints, January 2023. arXiv:2301.08284.

  $\bullet $ Amandine Escalier. Drawing Diestel-Leader graphs in 3D. arXiv e-prints, January 2023. arXiv:2301.08747.

  $\bullet $ Christopher Deninger. Primes, knots and periodic orbits. arXiv e-prints, January 2023. arXiv:2301.11643.

  $\bullet $ Alessandro Carlotto, Mario B. Schulz, and David Wiygul. Spectral estimates for free boundary minimal surfaces via Montiel-Ros partitioning methods. arXiv e-prints, January 2023. arXiv:2301.03055.

  $\bullet $ Gunnar Birke, Christian Engwer, Sandra May, and Florian Streitbürger. DoD stabilization of linear hyperbolic PDEs on general cut-cell meshes. arXiv e-prints, January 2023. arXiv:2301.02715.

  $\bullet $ Konrad Bals. Periodic cyclic homology over ℚ. arXiv e-prints, January 2023. arXiv:2301.03112.

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  2022

  $\bullet $ Romain Tessera and Jeroen Winkel. Coarse fixed point properties. arXiv e-prints, December 2022. arXiv:2212.04900.

  $\bullet $ Darya Sukhorebska. Simple closed geodesics on regular tetrahedra in spaces of constant curvature. arXiv e-prints, December 2022. arXiv:2212.02240.

  $\bullet $ Christian Seis and Dominik Winkler. Invariant manifolds for the thin film equation. arXiv e-prints, December 2022. arXiv:2212.02262.

  $\bullet $ Farmer Schlutzenberg. Varsovian models ω. arXiv e-prints, December 2022. arXiv:2212.14878.

  $\bullet $ Finn Bjarne Kohl and Raimar Wulkenhaar. Intersection theory of the complex quartic Kontsevich model. arXiv e-prints, December 2022. arXiv:2212.01359.

  $\bullet $ Zakhar Kabluchko and David Albert Steigenberger. R-Lah distribution: Properties, limit theorems and an application to compressed sensing. arXiv e-prints, December 2022. arXiv:2212.12277.

  $\bullet $ Alexander Iksanov, Zakhar Kabluchko, and Valeriya Kotelnikova. A law of the iterated logarithm for iterated random walks, with application to random recursive trees. arXiv e-prints, December 2022. arXiv:2212.13441.

  $\bullet $ Shokhrukh Ibragimov, Arnulf Jentzen, and Adrian Riekert. Convergence to good non-optimal critical points in the training of neural networks: Gradient descent optimization with one random initialization overcomes all bad non-global local minima with high probability. arXiv e-prints, December 2022. arXiv:2212.13111.

  $\bullet $ Julian Fischer, Sebastian Hensel, Tim Laux, and Theresa M. Simon. Local minimizers of the interface length functional based on a concept of local paired calibrations. arXiv e-prints, December 2022. arXiv:2212.11840.

  $\bullet $ Rodrigo Bazaes and Chiranjib Mukherjee. Positive and negative moments for directed polymers in random environment in weak disorder. arXiv e-prints, December 2022. arXiv:2212.06029.

  $\bullet $ Martin Bays, Jan Dobrowolski, and Tingxiang Zou. Elekes-Szabó for collinearity on cubic surfaces. arXiv e-prints, December 2022. arXiv:2212.14059.

  $\bullet $ Sahana Balasubramanya, Francesco Fournier-Facio, Anthony Genevois, and Alessandro Sisto. Property (NL) for group actions on hyperbolic spaces. arXiv e-prints, December 2022. arXiv:2212.14292.

  $\bullet $ Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes. arXiv e-prints, December 2022. arXiv:2212.12509.

  $\bullet $ Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes. arXiv e-prints, December 2022. arXiv:2212.14093.

  $\bullet $ Simon André and Vincent Guirardel. Finitely generated simple sharply 2-transitive groups. arXiv e-prints, December 2022. arXiv:2212.06020.

  $\bullet $ Michael Wiemeler. Rigidity of elliptic genera for non-spin manifolds. arXiv e-prints, December 2022. arXiv:2212.01059.

  $\bullet $ Lee Kennard, Michael Wiemeler, and Burkhard Wilking. Positive curvature, torus symmetry, and matroids. arXiv e-prints, December 2022. arXiv:2212.08152.

  $\bullet $ Kieu Hieu Nguyen and Eva Viehmann. A Harder-Narasimhan stratification of the $B_d$$_R^+$-Grassmannian. arXiv e-prints, December 2022. arXiv:2111.01764.

  $\bullet $ Pramod N. Achar, João Lourenço, Timo Richarz, and Simon Riche. Fixed points under pinning-preserving automorphisms of reductive group schemes. arXiv e-prints, December 2022. arXiv:2212.10182.

  $\bullet $ Jan Nienhaus. An improved four-periodicity theorem and a conjecture of Hopf with symmetry. arXiv e-prints, November 2022. doi:2211.13151.

  $\bullet $ Chiranjib Mukherjee and Konstantin Recke. Schur multipliers of $C^*$-algebras, group-invariant compactification and applications to amenability and percolation. arXiv e-prints, November 2022. arXiv:2211.11411.

  $\bullet $ Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis, and Johannes Thürigen. Mean-field phase transitions in TGFT quantum gravity. arXiv e-prints, November 2022. arXiv:2211.12768.

  $\bullet $ Tim Keil. Adaptive reduced basis methods for multiscale problems and large-scale PDE-constrained optimization. arXiv e-prints, November 2022. arXiv:2211.09607.

  $\bullet $ Zakhar Kabluchko and Alexander Marynych. Random walks in the high-dimensional limit I. arXiv e-prints, November 2022. arXiv:2211.08538.

  $\bullet $ Davide Gallon, Arnulf Jentzen, and Felix Lindner. Blow up phenomena for gradient descent optimization methods in the training of artificial neural networks. arXiv e-prints, November 2022. arXiv:2211.15641.

  $\bullet $ Philip Freese, Moritz Hauck, Tim Keil, and Daniel Peterseim. A super-localized generalized finite element method. arXiv e-prints, November 2022. arXiv:2211.09461.

  $\bullet $ Guilherme L. Feltes and Hendrik Weber. Brownian particle in the curl of 2-d stochastic heat equations. arXiv e-prints, November 2022. arXiv:2211.02194.

  $\bullet $ Tim Erdbrügger, Andreas Westhoff, Malte Hoeltershinken, Jan-Ole Radecke, Yvonne Buschermoehle, Alena Buyx, Fabrice Wallois, Sampsa Pursiainen, Joachim Gross, Rebekka Lencer, Christian Engwer, and Carsten Wolters. Cutfem forward modeling for EEG source analysis. arXiv e-prints, November 2022. arXiv:2211.17093.

  $\bullet $ Yeong Chyuan Chung, Diego Martínez, and Nóra Szakács. Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups. arXiv e-prints, November 2022. arXiv:2211.09624.

  $\bullet $ Robert Cass, Thibaud van den Hove, and Jakob Scholbach. The geometric Satake equivalence for integral motives. arXiv e-prints, November 2022. arXiv:2211.04832.

  $\bullet $ Rodrigo Bazaes, Isabel Lammers, and Chiranjib Mukherjee. Subcritical Gaussian multiplicative chaos in the Wiener space: Construction, moments and volume decay. arXiv e-prints, November 2022. arXiv:2211.08996.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Julian Kranz, Petr Naryshkin, and Andrea Vaccaro. Tracially amenable actions and purely infinite crossed products. arXiv e-prints, November 2022. arXiv:2211.16872.

  $\bullet $ Franco Flandoli, Ruojun Huang, and Andrea Papini. Smoluchowski coagulation equation with velocity dependence. arXiv e-prints, November 2022. arXiv:2211.06693.

  $\bullet $ Ricardo J. Alonso, Véronique Bagland, José A. Cañizo, Bertrand Lods, and Sebastian Throm. One-dimensional inelastic Boltzmann equation: Regularity & uniqueness of self-similar profiles for moderately hard potentials. arXiv e-prints, November 2022. arXiv:2211.03446.

  $\bullet $ Kristin Courtney, Anna Duwenig, Astrid an Huef, Magdalena C. Georgescu, and Maria Grazia Viola. Alexandrov groupoids and the nuclear dimension of twisted groupoid $C^*$-algebras. arXiv e-prints, November 2022. arXiv:2211.00547.

  $\bullet $ Volker Branding and Anna Siffert. Infinite families of harmonic self-maps of ellipsoids in all dimensions. arXiv e-prints, October 2022. arXiv:2210.17240.

  $\bullet $ Renee S. Hoekzema, Carmen Rovi, and Julia Semikina. A K-theory spectrum for cobordism cut and paste groups. arXiv e-prints, October 2022. arXiv:2210.00682.

  $\bullet $ Stefan Hoffelner. The consistency of the $\Sigma _3^1$-separation property. arXiv e-prints, October 2022. arXiv:1912.11811.

  $\bullet $ Ian Gleason and João Lourenço. On the connectedness of $p$-adic period domains. arXiv e-prints, October 2022. arXiv:2210.08625.

  $\bullet $ Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz, and Shintaro Nishikawa. $k$-theory of non-commutative Bernoulli shifts. arXiv e-prints, October 2022. arXiv:2210.09209.

  $\bullet $ Matthias Ruf and Caterina Ida Zeppieri. Stochastic homogenization of degenerate integral functionals with linear growth. arXiv e-prints, October 2022. arXiv:2210.14829.

  $\bullet $ Angkana Rüland and Theresa M. Simon. On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation. arXiv e-prints, October 2022. arXiv:2210.04304.

  $\bullet $ Matthew Emerton, Toby Gee, and Eugen Hellmann. An introduction to the categorical $p$-adic Langlands program. arXiv e-prints, October 2022. arXiv:2210.01404.

  $\bullet $ Alessandro Codenotti and Aleksandra Kwiatkowska. Projective Fraïssé limits and generalized Ważewski dendrites. arXiv e-prints, October 2022. arXiv:2210.06899.

  $\bullet $ Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld. An efficient Monte Carlo scheme for Zakai equations. arXiv e-prints, October 2022. arXiv:2210.13530.

  $\bullet $ Konstantin Ardakov and Peter Schneider. The central sheaf of a Grothendieck category. arXiv e-prints, October 2022. arXiv:2210.12419.

  $\bullet $ Antonio Esposito, Francesco S. Patacchini, and André Schlichting. On a class of nonlocal continuity equations on graphs. arXiv e-prints, September 2022. arXiv:2209.15552.

  $\bullet $ Leonard Kreutz and Manuel Friedrich. A proof of finite crystallization via stratification. arXiv e-prints, September 2022. arXiv:2209.14880.

  $\bullet $ Christian Himpe. Emgr – EMpirical GRamian framework version 5.99. arXiv e-prints, September 2022. arXiv:2209.03833.

  $\bullet $ Lucas Mann. The 6-functor formalism for $\mathbb Z_\ell $ and $\mathbb Q_\ell $-sheaves on diamonds. arXiv e-prints, September 2022. arXiv:2209.08135.

  $\bullet $ Darío García and Rosario Mennuni. Model-theoretic dividing lines via posets. arXiv e-prints, September 2022. arXiv:2209.00571.

  $\bullet $ Julian Kranz and Shintaro Nishikawa. $K$-theory of Bernoulli shifts of finite groups on UHF-algebras. arXiv e-prints, September 2022. arXiv:2210.00061.

  $\bullet $ Shintaro Nishikawa. Sp(n,1) admits a proper 1-cocycle for a uniformly bounded representation. arXiv e-prints, September 2022. arXiv:2003.03769.

  $\bullet $ Zakhar Kabluchko, Alexander Marynych, and Helmut Pitters. Mod-ϕ convergence of Stirling distributions and limit theorems for zeros of their generating functions. arXiv e-prints, September 2022. arXiv:2209.06808.

  $\bullet $ Michael Juhos, Zakhar Kabluchko, and Joscha Prochno. Limit theorems for mixed-norm sequence spaces with applications to volume distribution. arXiv e-prints, September 2022. arXiv:2209.08937.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Petr Naryshkin, and Andrea Vaccaro. Dynamical comparison and $\mathcal Z$-stability for crossed products of simple $C^*$-algebras. arXiv e-prints, September 2022. arXiv:2209.06507.

  $\bullet $ Sy David Friedman, Ralf Schindler, and David Schrittesser. Coding over core models. arXiv e-prints, September 2022. arXiv:2209.08696.

  $\bullet $ Juliane Braunsmann, Marko Rajković, Martin Rumpf, and Benedikt Wirth. Convergent autoencoder approximation of low bending and low distortion manifold embeddings. arXiv e-prints, August 2022. arXiv:2208.10193.

  $\bullet $ Jan Nienhaus, Peter Petersen, Matthias Wink, and William Wylie. Holonomy restrictions from the curvature operator of the second kind. arXiv e-prints, August 2022. arXiv:2208.13820.

  $\bullet $ Markus Land, Thomas Nikolaus, and Marco Schlichting. L-theory of $C^*$-algebras. arXiv e-prints, August 2022. arXiv:2208.10556.

  $\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two. arXiv e-prints, August 2022. arXiv:2208.11326.

  $\bullet $ Stefan Hoffelner, Paul Larson, Ralf Schindler, and Liuzhen Wu. Forcing axioms and the definability of the nonstationary ideal on $\omega _1$. arXiv e-prints, August 2022. arXiv:2208.05288.

  $\bullet $ Rodrigo Bazaes, Alexander Mielke, and Chiranjib Mukherjee. Stochastic homogenization for Hamilton-Jacobi-Bellman equations on continuum percolation clusters. arXiv e-prints, August 2022. arXiv:2208.07269.

  $\bullet $ Philip Möller and Olga Varghese. On normal subgroups in automorphism groups. arXiv e-prints, August 2022. arXiv:2208.05677.

  $\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and exceptional isomorphisms between unitary groups. arXiv e-prints, August 2022. arXiv:2208.11044.

  $\bullet $ Martin Hils and Stefan Marian Ludwig. An approximate AKE principle for metric valued fields. arXiv e-prints, August 2022. arXiv:2208.10186.

  $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Gradient descent provably escapes saddle points in the training of shallow ReLU networks. arXiv e-prints, August 2022. arXiv:2208.02083.

  $\bullet $ Volker Branding and Anna Siffert. On p-harmonic self-maps of spheres. arXiv e-prints, August 2022. arXiv:2208.00705.

  $\bullet $ Carolyn R. Abbott, Sahana Balasubramanya, Sam Payne, and Alexander J. Rasmussen. Valuations, completions, and hyperbolic actions of metabelian groups. arXiv e-prints, July 2022. arXiv:2207.12945.

  $\bullet $ Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon, and Valeriy V. Slastikov. Magnetic skyrmions under confinement. arXiv e-prints, July 2022. arXiv:2208.00058.

  $\bullet $ Damien Junger. Cohomologie de de Rham du revêtement modéré de la tour de Lubin-Tate. arXiv e-prints, July 2022. arXiv:2207.01006.

  $\bullet $ Thomas Goodwillie, Manuel Krannich, and Alexander Kupers. Stability of concordance embeddings. arXiv e-prints, July 2022. arXiv:2207.13216.

  $\bullet $ David Hansen and Lucas Mann. $p$-adic sheaves on classifying stacks, and the $p$-adic Jacquet-Langlands correspondence. arXiv e-prints, July 2022. arXiv:2207.04073.

  $\bullet $ Alexander Bertoloni Meli, Linus Hamann, and Kieu Hieu Nguyen. Compatibility of the Fargues–Scholze correspondence for unitary groups. arXiv e-prints, July 2022. arXiv:2207.13193.

  $\bullet $ Robin Bartlett and Misja F. A. Steinmetz. Explicit Serre weights for $GL_2$ via Kummer theory. arXiv e-prints, July 2022. arXiv:2207.00402.

  $\bullet $ Oskar Riedler. Closed embedded self-shrinkers of mean curvature flow. arXiv e-prints, July 2022. arXiv:2207.04851.

  $\bullet $ Jan Kruschewski and Farmer Schlutzenberg. On a conjecture about the mouse order for weasels. arXiv e-prints, July 2022. arXiv:2207.06136.

  $\bullet $ Gustav Holzegel and Arick Shao. The bulk-boundary correspondence for the Einstein equations in asymptotically Anti-de Sitter spacetimes. arXiv e-prints, July 2022. arXiv:2207.14217.

  $\bullet $ Martin Holler and Benedikt Wirth. Exact reconstruction and reconstruction from noisy data with anisotropic total variation. arXiv e-prints, July 2022. arXiv:2207.04757.

  $\bullet $ Martin Hils and Rosario Mennuni. Some definable types that cannot be amalgamated. arXiv e-prints, July 2022. arXiv:2207.09787.

  $\bullet $ Simon Eberle, Arnulf Jentzen, Adrian Riekert, and Georg Weiss. Normalized gradient flow optimization in the training of ReLU artificial neural networks. arXiv e-prints, July 2022. arXiv:2207.06246.

  $\bullet $ Sergio Conti, Adriana Garroni, and Roberta Marziani. Line-tension limits for line singularities and application to the mixed-growth case. arXiv e-prints, July 2022. arXiv:2207.01526.

  $\bullet $ Rufat Badal, Manuel Friedrich, and Joscha Seutter. Existence of quasi-static crack evolution for atomistic systems. arXiv e-prints, July 2022. arXiv:2207.14505.

  $\bullet $ Joachim Cuntz. The image of Bott periodicity in cyclic homology. arXiv e-prints, June 2022. arXiv:2206.04396.

  $\bullet $ Anna Gusakova, Johannes Heiny, and Christoph Thäle. The volume of random simplices from elliptical distributions in high dimension. arXiv e-prints, June 2022. arXiv:2206.00514.

  $\bullet $ Jan Nienhaus, Peter Petersen, and Matthias Wink. Betti numbers and the curvature operator of the second kind. arXiv e-prints, June 2022. arXiv:2206.14218.

  $\bullet $ Philip Dittmann, Franziska Jahnke, Lothar Sebastian Krapp, and Salma Kuhlmann. Definable valuations on ordered fields. arXiv e-prints, June 2022. arXiv:2206.15301.

  $\bullet $ Roberta Marziani. Γ-convergence and stochastic homogenisation of phase-transition functionals. arXiv e-prints, June 2022. arXiv:2206.13131.

  $\bullet $ Arnulf Jentzen and Timo Kröger. On bounds for norms of reparameterized ReLU artificial neural network parameters: sums of fractional powers of the Lipschitz norm control the network parameter vector. arXiv e-prints, June 2022. arXiv:2206.13646.

  $\bullet $ Anna Gusakova, Evgeny Spodarev, and Dmitry Zaporozhets. Intrinsic volumes of ellipsoids. arXiv e-prints, June 2022. arXiv:2206.14002.

  $\bullet $ Włodzimierz J. Charatonik, Aleksandra Kwiatkowska, and Robert P. Roe. Projective Fraïssé limits of graphs with confluent epimorphisms. arXiv e-prints, June 2022. arXiv:2206.12400.

  $\bullet $ Qi Yao. Mass and expansion of asymptotically conical Kähler metrics. arXiv e-prints, June 2022. arXiv:2206.06505.

  $\bullet $ Georgios Papanikos and Benedikt Wirth. A non-convex variational model for joint polyenergetic CT reconstruction, sensor denoising and material decomposition. arXiv e-prints, June 2022. arXiv:2206.02908.

  $\bullet $ Lara Beßmann. A recursive description of automorphism groups of inductively constructed polytopes. arXiv e-prints, June 2022. arXiv:2206.03793.

  $\bullet $ Lara Beßmann. A recursive description of automorphism groups of inductively constructed polytopes. arXiv e-prints, June 2022. arXiv:2206.03793.

  $\bullet $ Olivier Graf and Gustav Holzegel. Mode stability for the Teukolsky equations on Kerr-anti-de Sitter spacetimes. arXiv e-prints, May 2022. arXiv:2205.02801.

  $\bullet $ Stefano Bruno, Benjamin Gess, and Hendrik Weber. Optimal regularity in time and space for stochastic porous medium equations. arXiv e-prints, May 2022. arXiv:110.01637.

  $\bullet $ Manuel Krannich and Alexander Kupers. The disc-structure space. arXiv e-prints, May 2022. arXiv:2205.01755.

  $\bullet $ Philip Möller. A note on almost negative matrices and Gromov-hyperbolic Coxeter groups. arXiv e-prints, May 2022. arXiv:2205.07791.

  $\bullet $ Julius Lohmann, Bernhard Schmitzer, and Benedikt Wirth. Duality in branched transport and urban planning. arXiv e-prints, May 2022. arXiv:2205.12049.

  $\bullet $ Zakhar Kabluchko, Daniel Rosen, and Christoph Thäle. Fluctuations of λ-geodesic Poisson hyperplanes in hyperbolic space. arXiv e-prints, May 2022. arXiv:2205.12820.

  $\bullet $ Martin Huesmann, Francesco Mattesini, and Dario Trevisan. Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus. arXiv e-prints, May 2022. arXiv:2205.01025.

  $\bullet $ Fabian Hebestreit, Andrea Lachmann, and Wolfgang Steimle. The localisation theorem for the $\mathrm K$-theory of stable ∞-categories. arXiv e-prints, May 2022. arXiv:2205.06104.

  $\bullet $ Amandine Escalier. Sofic approximations and optimal quantitative orbit equivalence. arXiv e-prints, May 2022. arXiv:2205.12137.

  $\bullet $ Simone Cecchini, Daniel Räde, and Rudolf Zeidler. Nonnegative scalar curvature on manifolds with at least two ends. arXiv e-prints, May 2022. arXiv:2205.12174.

  $\bullet $ Alessandro Carlotto, Mario B. Schulz, and David Wiygul. Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group. arXiv e-prints, May 2022. arXiv:2205.04861.

  $\bullet $ Johannes Branahl and Alexander Hock. Complete solution of the LSZ model via topological recursion. arXiv e-prints, May 2022. arXiv:2205.12166.

  $\bullet $ Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck, and Loïc Pellissier. Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions. arXiv e-prints, May 2022. arXiv:2205.03672.

  $\bullet $ Lara Beßmann. Is the right-angled building associated to a universal group unique? arXiv e-prints, May 2022. arXiv:2205.08145.

  $\bullet $ Lara Beßmann. Is the right-angled building associated to a universal group unique? arXiv e-prints, May 2022. arXiv:2205.08145.

  $\bullet $ Martin Bays, Omer Ben-Neria, Itay Kaplan, and Pierre Simon. On large externally definable sets in NIP. arXiv e-prints, May 2022. arXiv:2205.11792.

  $\bullet $ Annika Bach, Teresa Esposito, Roberta Marziani, and Caterina Ida Zeppieri. Gradient damage models for heterogeneous materials. arXiv e-prints, May 2022. arXiv:2205.13966.

  $\bullet $ Claudius Heyer. The left adjoint of derived parabolic induction. arXiv e-prints, April 2022. arXiv:2204.11581.

  $\bullet $ Anna Gusakova, Matthias Reitzner, and Christoph Thäle. Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon. arXiv e-prints, April 2022. arXiv:2204.11316.

  $\bullet $ Christopher Deninger, Theo Grundhöfer, and Linus Kramer. Weil tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation. arXiv e-prints, April 2022. arXiv:2204.02706.

  $\bullet $ Joachim Lohkamp. Scalar curvature splittings II: Removal of singularities. arXiv e-prints, April 2022. arXiv:2203.15531.

  $\bullet $ Joachim Lohkamp. The secret hyperbolic life of positive scalar curvature. arXiv e-prints, April 2022. arXiv:2203.16403.

  $\bullet $ Yifei Zhao. Étale metaplectic covers of reductive group schemes. arXiv e-prints, April 2022. arXiv:2204.00610.

  $\bullet $ Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler, and Tizian Wenzel. A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. arXiv e-prints, April 2022. arXiv:2204.13454.

  $\bullet $ Dennis Wulle. Cohomogeneity one manifolds with quasipositive curvature. arXiv e-prints, April 2022. arXiv:2204.11652.

  $\bullet $ Benjamin Brück, Jeremy Miller, Peter Patzt, Robin J. Sroka, and Jennifer C.H. Wilson. On the codimension-two cohomology of $SL_n(Z)$. arXiv e-prints, April 2022. arXiv:2204.11967.

  $\bullet $ Linus Kramer. A note on commutators in compact semisimple Lie algebras. arXiv e-prints, April 2022. arXiv:2204.09913.

  $\bullet $ Damien Junger. Cohomologie de de Rham du revêtement modéré de l'espace de Drinfeld. arXiv e-prints, April 2022. arXiv:2204.06363.

  $\bullet $ Manuel Friedrich and Lennart Machill. One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams. arXiv e-prints, April 2022. arXiv:2204.10032.

  $\bullet $ Daria Fokina, Oleg Iliev, Pavel Toktaliev, Ivan Oseledets, and Felix Schindler. On the performance of machine learning methods for breakthrough curve prediction. arXiv e-prints, April 2022. arXiv:2204.11719.

  $\bullet $ Nils-Arne Dreier and Christian Engwer. A hardware-aware and stable orthogonalization framework. arXiv e-prints, April 2022. arXiv:2204.13393.

  $\bullet $ Christopher Deninger. There is no "Weil-"cohomology theory with real coefficients for arithmetic curves. arXiv e-prints, April 2022. arXiv:2204.02714.

  $\bullet $ Marco Cicalese, Leonard Kreutz, and Gian Paolo Leonardi. Emergence of Wulff-crystals from atomistic systems on the FCC and HCP lattices. arXiv e-prints, April 2022. arXiv:2204.12892.

  $\bullet $ Johannes Branahl and Alexander Hock. A spectral curve for the generation of bipartite maps in topological recursion. arXiv e-prints, April 2022. arXiv:2204.05181.

  $\bullet $ Arthur Bartels and Wolfgang Lueck. On the algebraic K-theory of Hecke algebras. arXiv e-prints, April 2022. arXiv:2204.07982.

  $\bullet $ Benjamin Antieau, Achim Krause, and Thomas Nikolaus. On the K-theory of $\mathbb Z/p^n$. arXiv e-prints, April 2022. arXiv:2204.03420.

  $\bullet $ Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez, Gregor Gassner, and Tim Warburton. On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows. arXiv e-prints, March 2022. arXiv:2203.10238.

  $\bullet $ Tim Keil and Mario Ohlberger. Model reduction for large scale systems. In Large-Scale Scientific Computing, 16–28. Springer International Publishing, March 2022. doi:10.1007/978-3-030-97549-4_2.

  $\bullet $ Florian Besau, Anna Gusakova, Matthias Reitzner, Carsten Schütt, Christoph Thäle, and Elisabeth Werner. Spherical convex hull of random points on a wedge. arXiv e-prints, March 2022. arXiv:2203.07916.

  $\bullet $ Julia Schleuß, Kathrin Smetana, and Lukas ter Maat. Randomized quasi-optimal local approximation spaces in time. arXiv e-prints, March 2022. arXiv:2203.06276.

  $\bullet $ Jens Niklas Eberhardt and Jakob Scholbach. Integral motivic sheaves and geometric representation theory. arXiv e-prints, March 2022. arXiv:2202.11477.

  $\bullet $ Joachim Lohkamp. Scalar curvature splittings I: Minimal factors. arXiv e-prints, March 2022. arXiv:2012.12223.

  $\bullet $ Jeroen Winkel. Cycles in graphs with geometric property (T). arXiv e-prints, March 2022. arXiv:2203.01613.

  $\bullet $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. arXiv e-prints, March 2022. arXiv:2203.05435.

  $\bullet $ Denis Nardin and Jay Shah. Parametrized and equivariant higher algebra. arXiv e-prints, March 2022. arXiv:2203.00072.

  $\bullet $ David Meyer and Christian Seis. Propagation of regularity for transport equations. a Littlewood-Paley approach. arXiv e-prints, March 2022. arXiv:2203.10860.

  $\bullet $ Hendrik Kleikamp, Mario Ohlberger, and Stephan Rave. Nonlinear model order reduction using diffeomorphic transformations of a space-time domain. arXiv e-prints, March 2022. arXiv:2203.05833.

  $\bullet $ Tim Keil and Mario Ohlberger. A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. arXiv e-prints, March 2022. arXiv:2203.09964.

  $\bullet $ Tim Keil, Hendrik Kleikamp, Rolf J Lorentzen, Micheal B Oguntola, and Mario Ohlberger. Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. arXiv e-prints, March 2022. arXiv:2203.01674.

  $\bullet $ Zakhar Kabluchko. Lee-Yang zeroes of the Curie-Weiss ferromagnet, unitary Hermite polynomials, and the backward heat flow. arXiv e-prints, March 2022. arXiv:2203.05533.

  $\bullet $ Johannes Ebert and Jens Reinhold. Some rational homology computations for diffeomorphisms of odd-dimensional manifolds. arXiv e-prints, March 2022. arXiv:2203.03414.

  $\bullet $ Shuyu Dong, Bin Gao, Wen Huang, and Kyle A. Gallivan. On the analysis of optimization with fixed-rank matrices: a quotient geometric view. arXiv e-prints, March 2022. arXiv:2203.06765.

  $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of vortices in viscous 2D flows. arXiv e-prints, March 2022. arXiv:2203.07185.

  $\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. From atomistic systems to linearized continuum models for elastic materials with voids. arXiv e-prints, February 2022. arXiv:2202.05018.

  $\bullet $ Philip Möller and Olga Varghese. A note on semicompleteness of graph products of abelian groups. arXiv e-prints, February 2022. arXiv:2202.10083.

  $\bullet $ Arielle Leitner and Federico Vigolo. An invitation to coarse groups. arXiv e-prints, February 2022. arXiv:2203.08591.

  $\bullet $ Amandine Escalier. Building prescribed quantitative orbit equivalence with the group of integers. arXiv e-prints, February 2022. arXiv:2202.10312.

  $\bullet $ Piotr Wozniak. Stochastic homogenisation of nonconvex functionals in the space of $\mathbb A$-weakly differentiable maps. arXiv e-prints, February 2022. arXiv:2202.01526.

  $\bullet $ Peter Schneider and Claus Sorensen. Duals in natural characteristic. arXiv e-prints, February 2022. arXiv:2202.01800.

  $\bullet $ David Kerr and Hanfeng Li. Entropy, virtual Abelianness, and Shannon orbit equivalence. arXiv e-prints, February 2022. arXiv:2202.10795.

  $\bullet $ Zakhar Kabluchko, Alexander Marynych, and Ilya Molchanov. Generalised convexity with respect to families of affine maps. arXiv e-prints, February 2022. arXiv:2202.07887.

  $\bullet $ Damien Junger. Équations pour le premier revêtement de l'espace symétrique de Drinfeld. arXiv e-prints, February 2022. arXiv:2202.01018.

  $\bullet $ Shokhrukh Ibragimov, Arnulf Jentzen, Timo Kröger, and Adrian Riekert. On the existence of infinitely many realization functions of non-global local minima in the training of artificial neural networks with ReLU activation. arXiv e-prints, February 2022. arXiv:2202.11481.

  $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. The surface group conjectures for groups with two generators. arXiv e-prints, February 2022. arXiv:2202.11093.

  $\bullet $ Bin Gao, Simon Vary, Pierre Ablin, and P. -A. Absil. Optimization flows landing on the Stiefel manifold. arXiv e-prints, February 2022. arXiv:2202.09058.

  $\bullet $ Beomjun Choi, Robert J. McCann, and Christian Seis. Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. arXiv e-prints, February 2022. arXiv:2202.02769.

  $\bullet $ Sebastian Becker, Arnulf Jentzen, Marvin S. Müller, and Philippe von Wurstemberger. Learning the random variables in Monte Carlo simulations with stochastic gradient descent: Machine learning for parametric PDEs and financial derivative pricing. arXiv e-prints, February 2022. arXiv:2202.02717.

  $\bullet $ Jeffrey Haack, Cory Hauck, Christian Klingenberg, Marlies Pirner, and Sandra Warnecke. Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency. arXiv e-prints, January 2022. arXiv:2202.05652.

  $\bullet $ Philip Möller, Luis Paris, and Olga Varghese. On parabolic subgroups of Artin groups. arXiv e-prints, January 2022. arXiv:2201.13044.

  $\bullet $ Omar Mohsen. On the index of maximally hypoelliptic differential operators. arXiv e-prints, January 2022. arXiv:2201.13049.

  $\bullet $ Iakovos Androulidakis, Omar Mohsen, and Robert Yuncken. A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture. arXiv e-prints, January 2022. arXiv:2201.12060.

  $\bullet $ Hendrik Ranocha. A note on numerical fluxes conserving Harten's entropies for the compressible Euler equations. arXiv e-prints, January 2022. arXiv:2201.03946.

  $\bullet $ Víctor Navarro-Fernández and André Schlichting. Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients. arXiv e-prints, January 2022. arXiv:2201.10411.

  $\bullet $ Eusebio Gardella, Shirly Geffen, Julian Kranz, and Petr Naryshkin. Classifiability of crossed products by nonamenable groups. arXiv e-prints, January 2022. arXiv:2201.03409.

  $\bullet $ Ronan J. Conlon and Hans-Joachim Hein. Classification of asymptotically conical Calabi-Yau manifolds. arXiv e-prints, January 2022. arXiv:2201.00870.

  $\bullet $ Athanasios Chatzikaleas and Arick Shao. A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes. arXiv e-prints, January 2022. arXiv:2201.06010.

  $\bullet $ Athanasios Chatzikaleas and Jacques Smulevici. Non-linear periodic waves on the Einstein cylinder. arXiv e-prints, January 2022. arXiv:2201.05447.

  $\bullet $ Giovanni Bellettini, Roberta Marziani, and Riccardo Scala. A non-parametric plateau problem with partial free boundary. arXiv e-prints, January 2022. arXiv:2201.06145.

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  2021

  $\bullet $ Tim Hahn, Hamidreza Jamalabadi, Erfan Nozari, Nils R. Winter, Jan Ernsting, Marius Gruber, Marco J. Mauritz, Pascal Grumbach, Lukas Fisch, Ramona Leenings, Kelvin Sarink, Julian Blanke, Leon Kleine Vennekate, Daniel Emden, Nils Opel, Dominik Grotegerd, Verena Enneking, Susanne Meinert, Tiana Borgers, Melissa Klug, Elisabeth J. Leehr, Katharina Dohm, Walter Heindel, Joachim Gross, Udo Dannlowski, Ronny Redlich, and Jonathan Repple. Towards a network control theory of electroconvulsive therapy response. arXiv e-prints, December 2021. arXiv:2112.07408.

  $\bullet $ Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, and Gregor J. Gassner. Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. arXiv e-prints, December 2021. arXiv:2112.10517.

  $\bullet $ Hannes Thiel and Eduard Vilalta. Nowhere scattered $C^*$-algebras. arXiv e-prints, December 2021. arXiv:2112.09877.

  $\bullet $ Stefan Hoffelner. Forcing axioms, the uniformization and the basis property. arXiv e-prints, December 2021. arXiv:2001.07977.

  $\bullet $ Nils R. Winter, Ramona Leenings, Jan Ernsting, Kelvin Sarink, Lukas Fisch, Daniel Emden, Julian Blanke, Janik Goltermann, Nils Opel, Carlotta Barkhau, Susanne Meinert, Katharina Dohm, Jonathan Repple, Marco Mauritz, Marius Gruber, Elisabeth J. Leehr, Dominik Grotegerd, Ronny Redlich, Andreas Jansen, Igor Nenadic, Markus Nöthen, Andreas Forstner, Marcella Rietschel, Joachim Groß, Jochen Bauer, Walter Heindel, Till Andlauer, Simon Eickhoff, Tilo Kircher, Udo Dannlowski, and Tim Hahn. More alike than different: Quantifying deviations of brain structure and function in major depressive disorder across neuroimaging modalities. arXiv e-prints, December 2021. arXiv:2112.10730.

  $\bullet $ J. D. Quigley and Jay Shah. On the equivalence of two theories of real cyclotomic spectra. arXiv e-prints, December 2021. arXiv:2112.07462.

  $\bullet $ Julian Kranz and Timo Siebenand. Partial tensor-product functors and crossed-product functors. arXiv e-prints, December 2021. arXiv:2112.04164.

  $\bullet $ Pablo Cubides Kovacsics, Martin Hils, and Jinhe Ye. Beautiful pairs. arXiv e-prints, December 2021. arXiv:2112.00651.

  $\bullet $ Zakhar Kabluchko. Repeated differentiation and free unitary Poisson process. arXiv e-prints, December 2021. arXiv:2112.14729.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Katharina Pohl, Adrian Riekert, and Luca Scarpa. Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions. arXiv e-prints, December 2021. arXiv:2112.07369.

  $\bullet $ Martin Holler, Alexander Schlüter, and Benedikt Wirth. Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space. arXiv e-prints, December 2021. arXiv:2112.09743.

  $\bullet $ Claudio Gorodski, Andreas Kollross, and Burkhard Wilking. Actions on positively curved manifolds and boundary in the orbit space. arXiv e-prints, December 2021. arXiv:2112.00513.

  $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. Algebraically hyperbolic groups. arXiv e-prints, December 2021. arXiv:2112.01331.

  $\bullet $ Antonio Esposito, Rishabh S. Gvalani, André Schlichting, and Markus Schmidtchen. On a novel gradient flow structure for the aggregation equation. arXiv e-prints, December 2021. arXiv:2112.08317.

  $\bullet $ Renato G. Bettiol and Anusha M. Krishnan. Ricci flow does not preserve positive sectional curvature in dimension four. arXiv e-prints, December 2021. arXiv:2112.13291.

  $\bullet $ Pierfrancesco Beneventano, Patrick Cheridito, Robin Graeber, Arnulf Jentzen, and Benno Kuckuck. Deep neural network approximation theory for high-dimensional functions. arXiv e-prints, December 2021. arXiv:2112.14523.

  $\bullet $ Goulnara Arzhantseva, Dawid Kielak, Tim de Laat, and Damian Sawicki. Spectral gap and origami expanders. arXiv e-prints, December 2021. arXiv:2112.11864.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. On the existence of global minima and convergence analyses for gradient descent methods in the training of deep neural networks. arXiv e-prints, December 2021. arXiv:2112.09684.

  $\bullet $ Simon André. Co-Hopfian virtually free groups and elementary equivalence. arXiv e-prints, December 2021. arXiv:2112.04072.

  $\bullet $ Gideon Amir, Rangel Baldasso, Maria Gerasimova, and Gady Kozma. Fire retainment on Cayley graphs. arXiv e-prints, December 2021. arXiv:2112.08793.

  $\bullet $ Gerold Alsmeyer, Alin Bostan, Kilian Raschel, and Thomas Simon. Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. arXiv e-prints, December 2021. arXiv:2112.03016.

  $\bullet $ Juan Pablo Acosta. One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields. arXiv e-prints, December 2021. arXiv:2112.00430.

  $\bullet $ Tim Keil and Stephan Rave. An online efficient two-scale reduced basis approach for the Localized Orthogonal Decomposition. arXiv e-prints, November 2021. arXiv:2111.08643.

  $\bullet $ Jonas Potthoff and Benedikt Wirth. Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions. arXiv e-prints, November 2021. arXiv:2111.06910.

  $\bullet $ Fernando Lledó and Diego Martínez. A note on commutation relations and finite dimensional approximations. arXiv e-prints, November 2021. arXiv:2111.15221.

  $\bullet $ Finn Bjarne Kohl, Magdalena Larfors, and Paul-Konstantin Oehlmann. F-theory on 6D Symmetric Toroidal Orbifolds. arXiv e-prints, November 2021. arXiv:2111.07998.

  $\bullet $ David I. Ketcheson and Hendrik Ranocha. Computing with B-series. arXiv e-prints, November 2021. arXiv:2111.11680.

  $\bullet $ Damien Junger. Un autre calcul des fonctions inversibles sur l'espace symétrique de Drinfeld. arXiv e-prints, November 2021. arXiv:2111.10274.

  $\bullet $ Jonas Jalowy. The Wasserstein distance to the circular law. arXiv e-prints, November 2021. arXiv:2111.03595.

  $\bullet $ Jan Dobrowolski and Daniel Max Hoffmann. On rank not only in NSOP1 theories. arXiv e-prints, November 2021. arXiv:2111.02389.

  $\bullet $ Johannes Branahl and Alexander Hock. Genus one free energy contribution to the quartic Kontsevich model. arXiv e-prints, November 2021. arXiv:2111.05411.

  $\bullet $ Simon André and Katrin Tent. Simple sharply 2-transitive groups. arXiv e-prints, November 2021. arXiv:2111.09580.

  $\bullet $ Eusebio Gardella, Ilan Hirshberg, and Andrea Vaccaro. Strongly outer actions of amenable groups on $\mathcal Z$-stable nuclear $C^*$-algebras. arXiv e-prints, October 2021. arXiv:2110.14387.

  $\bullet $ Tobias Leibner, Maja Matis, Mario Ohlberger, and Stephan Rave. Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD. arXiv e-prints, October 2021. arXiv:2111.00129.

  $\bullet $ Anna Siffert and Jan Wuzyk. A family of free boundary minimal surfaces in the unit ball. arXiv e-prints, October 2021. arXiv:2110.02867.

  $\bullet $ Jay Shah. Recollements and stratification. arXiv e-prints, October 2021. arXiv:2110.06567.

  $\bullet $ Grigor Sargsyan, Ralf Schindler, and Farmer Schlutzenberg. Varsovian models II. arXiv e-prints, October 2021. arXiv:2110.12051.

  $\bullet $ J. D. Quigley and Jay Shah. On the parametrized Tate construction. arXiv e-prints, October 2021. arXiv:2110.07707.

  $\bullet $ Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis, and Johannes Thürigen. Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom. arXiv e-prints, October 2021. arXiv:2110.15336.

  $\bullet $ Manuel Landstorfer, Mario Ohlberger, Stephan Rave, and Marie Tacke. A modeling framework for efficient reduced order simulations of parametrized lithium-ion battery cells. arXiv e-prints, October 2021. arXiv:2110.06011.

  $\bullet $ Zakhar Kabluchko and Joscha Prochno. Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions. arXiv e-prints, October 2021. arXiv:2110.12977.

  $\bullet $ Zakhar Kabluchko. Face numbers of high-dimensional Poisson zero cells. arXiv e-prints, October 2021. arXiv:2110.08201.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck, and Joshua Lee Padgett. Strong $L^p$-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations. arXiv e-prints, October 2021. arXiv:2110.08297.

  $\bullet $ Bernard Haasdonk, Mario Ohlberger, and Felix Schindler. An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. arXiv e-prints, October 2021. arXiv:2110.12388.

  $\bullet $ Reto Buzano, Huy The Nguyen, and Mario B. Schulz. Noncompact self-shrinkers for mean curvature flow with arbitrary genus. arXiv e-prints, October 2021. arXiv:2110.06027.

  $\bullet $ Johannes Branahl, Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. From scalar fields on quantum spaces to blobbed topological recursion. arXiv e-prints, October 2021. arXiv:2110.11789.

  $\bullet $ Becky Armstrong, Nathan Brownlowe, and Aidan Sims. Simplicity of twisted $\mathrm C^*$-algebras of Deaconu–Renault groupoids. arXiv e-prints, September 2021. arXiv:2109.02583.

  $\bullet $ Martin Huesmann, Francesco Mattesini, and Felix Otto. There is no stationary cyclically monotone Poisson matching in 2d. arXiv e-prints, September 2021. arXiv:2109.13590.

  $\bullet $ Gerold Alsmeyer. Linear fractional Galton-Watson processes in random environment and perpetuities. arXiv e-prints, September 2021. arXiv:2109.15007.

  $\bullet $ Jeff Haack, Cory Hauck, Christian Klingenberg, Marlies Pirner, and Sandra Warnecke. A consistent BGK model with velocity-dependent collision frequency for gas mixtures. arXiv e-prints, September 2021. arXiv:2101.09047.

  $\bullet $ Matteo Perugini. Rigidity of Steiner's inequality for the anisotropic perimeter. arXiv e-prints, September 2021. arXiv:1911.03920.

  $\bullet $ Jay Shah. Parametrized higher category theory II: Universal constructions. arXiv e-prints, September 2021. arXiv:2109.11954.

  $\bullet $ Georg Menz, André Schlichting, Wenpin Tang, and Tianqi Wu. Ergodicity of the infinite swapping algorithm at low temperature. arXiv e-prints, September 2021. arXiv:1811.10174.

  $\bullet $ Julius Lohmann, Bernhard Schmitzer, and Benedikt Wirth. Formulation of branched transport as geometry optimization. arXiv e-prints, September 2021. arXiv:2109.07820.

  $\bullet $ Linus Kramer. Some remarks on proper actions, proper metric spaces, and buildings. arXiv e-prints, September 2021. arXiv:2109.12837.

  $\bullet $ Christopher Kauffman and Hans Lindblad. Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates. arXiv e-prints, September 2021. arXiv:2109.03270.

  $\bullet $ Kasia Jankiewicz, Annette Karrer, Kim Ruane, and Bakul Sathaye. The boundary rigidity of lattices in products of trees. arXiv e-prints, September 2021. arXiv:2109.09175.

  $\bullet $ Martin Hils and Silvain Rideau-Kikuchi. Un principe d'Ax-Kochen-Ershov imaginaire. arXiv e-prints, September 2021. arXiv:2109.12189.

  $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Beta-star polytopes and hyperbolic stochastic geometry. arXiv e-prints, September 2021. arXiv:2109.01035.

  $\bullet $ Manuel Friedrich, Wojciech Górny, and Ulisse Stefanelli. The double-bubble problem on the square lattice. arXiv e-prints, September 2021. arXiv:2109.01697.

  $\bullet $ Georg Frenck. Sphericity of κ-classes and positive curvature via block bundles. arXiv e-prints, September 2021. arXiv:2109.10306.

  $\bullet $ Alessandro Carlotto and Mario B. Schulz. Minimal hypertori in the four-dimensional sphere. arXiv e-prints, September 2021. arXiv:2109.11768.

  $\bullet $ Stefano Ariotta. Coherent cochain complexes and Beilinson t-structures, with an appendix by Achim Krause. arXiv e-prints, September 2021. arXiv:2109.01017.

  $\bullet $ Christian Clason, Carla Tameling, and Benedikt Wirth. Convex relaxation of discrete vector-valued optimization problems. arXiv e-prints, August 2021. arXiv:2108.10077.

  $\bullet $ Manuel Friedrich, Manuel Seitz, and Ulisse Stefanelli. Tilings with nonflat squares: a characterization. arXiv e-prints, August 2021. arXiv:2108.01954.

  $\bullet $ Jonas Jalowy and Matthias Löwe. Reconstructing a (recurrent) random environment from a single trajectory of Random Walk in Random Environment with errors. arXiv e-prints, August 2021. arXiv:2008.12043.

  $\bullet $ Siegfried Echterhoff and Mikael Rørdam. Inclusions of $C^*$-algebras arising from fixed-point algebras. arXiv e-prints, August 2021. arXiv:2108.08832.

  $\bullet $ Hannes Thiel and Eduard Vilalta. Covering dimension of Cuntz semigroups. arXiv e-prints, August 2021. arXiv:2101.04522.

  $\bullet $ Markus Zeggel. The bounded isomorphism conjecture for spaces of graphs with large girth. arXiv e-prints, August 2021. arXiv:2108.09700.

  $\bullet $ Davide Torlo, Philipp Öffner, and Hendrik Ranocha. A new stability approach for positivity-preserving Patankar-type schemes. arXiv e-prints, August 2021. arXiv:2108.07347.

  $\bullet $ Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, and Gregor J. Gassner. Adaptive numerical simulations with Trixi.jl: a case study of Julia for scientific computing. arXiv e-prints, August 2021. arXiv:2108.06476.

  $\bullet $ Shintaro Nishikawa. Crossed product approach to equivariant localization algebras. arXiv e-prints, August 2021. arXiv:2108.11235.

  $\bullet $ Petr Naryshkin. Polynomial growth, comparison, and the small boundary property. arXiv e-prints, August 2021. arXiv:2108.04670.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions. arXiv e-prints, August 2021. arXiv:2108.04620.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations. arXiv e-prints, August 2021. arXiv:2108.10602.

  $\bullet $ Martin Hils and Rosario Mennuni. The domination monoid in henselian valued fields. arXiv e-prints, August 2021. arXiv:2108.13999.

  $\bullet $ Claudius Heyer. On the smooth part functor. arXiv e-prints, August 2021. arXiv:2108.05262.

  $\bullet $ Claudius Heyer. On the decomposition of Hecke polynomials over parabolic Hecke algebras. arXiv e-prints, August 2021. arXiv:2108.04535.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation IV: mixing properties and central limit theorems. arXiv e-prints, August 2021. arXiv:2108.09472.

  $\bullet $ Xin Fu, Hans-Joachim Hein, and Xumin Jiang. Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps. arXiv e-prints, August 2021. arXiv:2108.13390.

  $\bullet $ Manuel Friedrich and Lennart Machill. Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. arXiv e-prints, August 2021. arXiv:2108.05132.

  $\bullet $ Monroe Eskew, Sy-David Friedman, Yair Hayut, and Farmer Schlutzenberg. Mutually embeddable models of ZFC. arXiv e-prints, August 2021. arXiv:2108.12355.

  $\bullet $ Simon Eberle, Arnulf Jentzen, Adrian Riekert, and Georg S. Weiss. Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation. arXiv e-prints, August 2021. arXiv:2108.08106.

  $\bullet $ Steffen Dereich and Sebastian Kassing. On minimal representations of shallow ReLU networks. arXiv e-prints, August 2021. arXiv:2108.05643.

  $\bullet $ Simone Cecchini and Rudolf Zeidler. The positive mass theorem and distance estimates in the spin setting. arXiv e-prints, August 2021. arXiv:2108.11972.

  $\bullet $ Joren Brunekreef, Luca Lionni, and Johannes Thürigen. One-matrix differential reformulation of two-matrix models. arXiv e-prints, August 2021. arXiv:2108.00540.

  $\bullet $ Blaise Boissonneau. Artin-Schreier extensions and combinatorial complexity in henselian valued fields. arXiv e-prints, August 2021. arXiv:2108.12678.

  $\bullet $ Robin Bartlett. Degenerating products of flag varieties and applications to the Breuil–Mezard conjecture. arXiv e-prints, August 2021. arXiv:2108.04094.

  $\bullet $ Carolyn R. Abbott, Sahana Balasubramanya, and Alexander J. Rasmussen. Higher rank confining subsets and hyperbolic actions of solvable groups. arXiv e-prints, August 2021. arXiv:2108.08175.

  $\bullet $ Martin Bays, Jan Dobrowolski, and Tingxiang Zou. Elekes-Szabó for groups, and approximate subgroups in weak general position. arXiv e-prints, July 2021. arXiv:2107.05547.

  $\bullet $ Florian Schneider and Tobias Leibner. First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis. arXiv e-prints, July 2021. doi:1904.03098.

  $\bullet $ David Kerr and Petr Naryshkin. Elementary amenability and almost finiteness. arXiv e-prints, July 2021. arXiv:2107.05273.

  $\bullet $ Thorben Kastenholz and Jens Reinhold. Essentiality and simplicial volume of manifolds fibered over spheres. arXiv e-prints, July 2021. arXiv:2107.05892.

  $\bullet $ Zakhar Kabluchko. On expected face numbers of random beta and beta' polytopes. arXiv e-prints, July 2021. arXiv:2107.06655.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation. arXiv e-prints, July 2021. arXiv:2107.04479.

  $\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces. arXiv e-prints, July 2021. arXiv:2107.10808.

  $\bullet $ Johannes Ebert. Diffeomorphisms of odd-dimensional discs, glued into a manifold. arXiv e-prints, July 2021. arXiv:2107.00903.

  $\bullet $ Steffen Dereich and Martin Maiwald. Quasi-processes for branching Markov chains. arXiv e-prints, July 2021. arXiv:2107.06654.

  $\bullet $ Arthur Charpentier, Lariosse Kouakou, Matthias Löwe, Philipp Ratz, and Franck Vermet. Collaborative insurance sustainability and network structure. arXiv e-prints, July 2021. arXiv:2107.02764.

  $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of point vortices for the 2D Euler equation with $L^p$ vorticity. arXiv e-prints, July 2021. arXiv:2107.12820.

  $\bullet $ Ulrich Bunke, Alexander Engel, and Markus Land. Paschke duality and assembly maps. arXiv e-prints, July 2021. arXiv:2107.02843.

  $\bullet $ Volker Branding and Anna Siffert. On the stability of harmonic self-maps of cohomogeneity one manifolds. arXiv e-prints, July 2021. arXiv:2107.03715.

  $\bullet $ Christoph Böhm and Ramiro A. Lafuente. Non-compact Einstein manifolds with symmetry. arXiv e-prints, July 2021. arXiv:2107.04210.

  $\bullet $ Christoph Böhm and Megan M. Kerr. Homogeneous Einstein metrics and butterflies. arXiv e-prints, July 2021. arXiv:2107.06609.

  $\bullet $ Martin Bays, Itay Kaplan, and Pierre Simon. Density of compressible types and some consequences. arXiv e-prints, July 2021. arXiv:2107.05197.

  $\bullet $ Eugen Hellmann. On the derived category of the Iwahori-Hecke algebra. arXiv e-prints, June 2021. arXiv:2006.03013.

  $\bullet $ Lee Kennard, Michael Wiemeler, and Burkhard Wilking. Splitting of torus representations and applications in the Grove symmetry program. arXiv e-prints, June 2021. arXiv:2106.14723.

  $\bullet $ Zakhar Kabluchko and Alexander Marynych. Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. arXiv e-prints, May 2021. arXiv:2105.11365.

  $\bullet $ Konstantin Ardakov and Peter Schneider. The Bernstein center in natural characteristic. arXiv e-prints, May 2021. arXiv:2105.06128.

  $\bullet $ Tim Keil and Mario Ohlberger. Model reduction for large scale systems. arXiv e-prints, May 2021. arXiv:2105.01433.

  $\bullet $ Amandine Escalier. Local-to-global-rigidity of graphs quasi-isometric to the Bruhat-Tits building of $SL_n(\mathbb K)$. arXiv e-prints, May 2021. arXiv:2008.07250.

  $\bullet $ Divya Sharma. Tangent spaces to the Teichmueller space from the energy-conscious perspective. arXiv e-prints, May 2021. arXiv:2105.13263.

  $\bullet $ Aristotelis Panagiotopoulos and Assaf Shani. Strong ergodicity phenomena for Bernoulli shifts of bounded algebraic dimension. arXiv e-prints, May 2021. arXiv:2105.04989.

  $\bullet $ Omar Mohsen. A Lichnerowicz theorem for singular foliations using blow-up groupoids. arXiv e-prints, May 2021. arXiv:2105.05201.

  $\bullet $ Laurentiu G. Maxim and Jörg Schürmann. Constructible sheaf complexes in complex geometry and applications. arXiv e-prints, May 2021. arXiv:2105.13069.

  $\bullet $ Agnese Mantione and Rafael Torres. Geography of $4$-manifolds with positive scalar curvature. arXiv e-prints, May 2021. arXiv:2105.12162.

  $\bullet $ Tim de Laat and Safoura Zadeh. Weak*-continuity of invariant means on spaces of matrix coefficients. arXiv e-prints, May 2021. arXiv:2105.12551.

  $\bullet $ Michael Goldman and Martin Huesmann. A fluctuation result for the displacement in the optimal matching problem. arXiv e-prints, May 2021. arXiv:2105.02915.

  $\bullet $ Samuel Evington and Sergio Girón Pacheco. Anomalous symmetries of classifiable C*-algebras. arXiv e-prints, May 2021. arXiv:2105.05587.

  $\bullet $ Jan Dobrowolski and Mark Kamsma. Kim-independence in positive logic. arXiv e-prints, May 2021. arXiv:2105.07788.

  $\bullet $ Andrea Bianchi, Florian Kranhold, and Jens Reinhold. Parametrised moduli spaces of surfaces as infinite loop spaces. arXiv e-prints, May 2021. arXiv:2105.05772.

  $\bullet $ Gerold Alsmeyer and Alexander Iksanov. Recurrence and transience of random difference equations in the critical case. arXiv e-prints, May 2021. arXiv:2105.04994.

  $\bullet $ Juliane Braunsmann, Marko Rajkovic, Martin Rumpf, and Benedikt Wirth. Learning low bending and low distortion manifold embeddings. arXiv e-prints, April 2021. arXiv:2104.13189.

  $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for the average target hitting time for a random walk on a random graph. arXiv e-prints, April 2021. arXiv:2104.01053.

  $\bullet $ Silke Meißner and Martin Otto. A first-order framework for inquisitive modal logic. arXiv e-prints, April 2021. arXiv:1906.04981.

  $\bullet $ Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani, and David I. Ketcheson. Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics. arXiv e-prints, April 2021. arXiv:2104.06836.

  $\bullet $ Aristotelis Panagiotopoulos and Katrin Tent. Universality vs genericity and C$_4$-free graphs. arXiv e-prints, April 2021. arXiv:2104.13222.

  $\bullet $ Rachel Ollivier and Peter Schneider. On the pro-$p$ Iwahori Hecke Ext-algebra of SL$_2(\mathbb Q_p)$. arXiv e-prints, April 2021. arXiv:2104.13422.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions. arXiv e-prints, April 2021. arXiv:2104.00277.

  $\bullet $ Alexander Iksanov, Zakhar Kabluchko, and Valeriya Kotelnikova. A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions. arXiv e-prints, April 2021. arXiv:2104.06948.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions. arXiv e-prints, April 2021. arXiv:2104.07348.

  $\bullet $ Thomas Godland and Zakhar Kabluchko. Positive hulls of random walks and bridges. arXiv e-prints, April 2021. arXiv:2104.05542.

  $\bullet $ Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev, Mario Ohlberger, Felix Schindler, Pavel Toktaliev, Tizian Wenzel, and Maha Youssef. A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. arXiv e-prints, April 2021. arXiv:2104.02800.

  $\bullet $ Marzieh Forough, Eusebio Gardella, and Klaus Thomsen. Equivariant bundles and absorption. arXiv e-prints, April 2021. arXiv:2104.14927.

  $\bullet $ Nils-Arne Dreier. Hardware-oriented krylov methods for high-performance computing. arXiv e-prints, April 2021. arXiv:2104.02494.

  $\bullet $ Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. The non-linear stability of the Schwarzschild family of black holes. arXiv e-prints, April 2021. arXiv:2104.08222.

  $\bullet $ Tim Clausen and Katrin Tent. Mock hyperbolic reflection spaces and Frobenius groups of finite Morley rank. arXiv e-prints, April 2021. arXiv:2104.10096.

  $\bullet $ Marco Cicalese, Matteo Focardi, and Caterina Ida Zeppieri. Phase-field approximation of functionals defined on piecewise-rigid maps. arXiv e-prints, April 2021. arXiv:2104.00658.

  $\bullet $ Martin Bays and Jean-François Martin. Incidence bounds in positive characteristic via valuations and distality. arXiv e-prints, April 2021. arXiv:2104.04339.

  $\bullet $ Martin J. Gander and Stephan Rave. Localized reduced basis additive Schwarz methods. arXiv e-prints, pages 487–494, March 2021. arXiv:2103.10884.

  $\bullet $ Samuel G. G. Johnston, Zakhar Kabluchko, and Joscha Prochno. Projections of the uniform distribution on the cube – a large deviation perspective. arXiv e-prints, March 2021. arXiv:2103.16430.

  $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: the BPHZ momentum scheme. arXiv e-prints, March 2021. arXiv:2103.01136.

  $\bullet $ Markus Zeggel. The bounded isomorphism conjecture for box spaces of residually finite groups. arXiv e-prints, March 2021. arXiv:2103.16967.

  $\bullet $ Farmer Schlutzenberg. Local mantles of $L[x]$. arXiv e-prints, March 2021. arXiv:2103.12925.

  $\bullet $ Hoang Kim Nguyen, George Raptis, and Christoph Schrade. Higher weak (co)limits, adjoint functor theorems, and higher Brown representability. arXiv e-prints, March 2021. arXiv:2103.06003.

  $\bullet $ Robert Kropholler, Stefano Vidussi, and Genevieve Walsh. Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group. arXiv e-prints, March 2021. arXiv:2103.06930.

  $\bullet $ Robert Kropholler and Claudio Llosa Isenrich. Dehn functions of coabelian subgroups of direct products of groups. arXiv e-prints, March 2021. arXiv:2103.05093.

  $\bullet $ Grigory Kondyrev, Aaron Mazel-Gee, and Jay Shah. Dualizable objects in stratified categories and the 1-dimensional bordism hypothesis for recollements. arXiv e-prints, March 2021. arXiv:2103.15785.

  $\bullet $ Jonas Jalowy, Matthias Löwe, and Holger Sambale. Fluctuations of the magnetization in the block Potts model. arXiv e-prints, March 2021. arXiv:2103.16421.

  $\bullet $ Stefan Hoffelner. Forcing the $\Pi ^1_n$-uniformization property. arXiv e-prints, March 2021. arXiv:2103.11748.

  $\bullet $ Alexander Hock and Raimar Wulkenhaar. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0. arXiv e-prints, March 2021. arXiv:2103.13271.

  $\bullet $ Jonas Hirsch and Konstantinos Zemas. A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb S^2$. arXiv e-prints, March 2021. arXiv:2103.05390.

  $\bullet $ Claudius Heyer. Localization of the parabolic Hecke algebra at a strictly positive element. arXiv e-prints, March 2021. arXiv:2103.16949.

  $\bullet $ Philipp Grohs, Shokhrukh Ibragimov, Arnulf Jentzen, and Sarah Koppensteiner. Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality. arXiv e-prints, March 2021. arXiv:2103.04488.

  $\bullet $ Marzieh Forough, Eusebio Gardella, and Klaus Thomsen. Asymptotic lifting for completely positive maps. arXiv e-prints, March 2021. arXiv:2103.09176.

  $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Landscape analysis for shallow ReLU neural networks: complete classification of critical points for affine target functions. arXiv e-prints, March 2021. arXiv:2103.10922.

  $\bullet $ Simone Cecchini and Rudolf Zeidler. Scalar and mean curvature comparison via the Dirac operator. arXiv e-prints, March 2021. arXiv:2103.06833.

  $\bullet $ Martin Brückerhoff and Martin Huesmann. Shadows and barriers. arXiv e-prints, March 2021. arXiv:2103.03620.

  $\bullet $ Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, and Emilia Magnani. Full history recursive multilevel picard approximations for ordinary differential equations with expectations. arXiv e-prints, March 2021. arXiv:2103.02350.

  $\bullet $ Arnulf Jentzen and Timo Kröger. Convergence rates for gradient descent in the training of overparameterized artificial neural networks with biases. arXiv e-prints, February 2021. arXiv:2102.11840.

  $\bullet $ Sonja Cox, Martin Hutzenthaler, and Arnulf Jentzen. Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations. arXiv e-prints, February 2021. arXiv:1309.5595.

  $\bullet $ Jorge Castillejos and Samuel Evington. Stabilising uniform property Γ. arXiv e-prints, February 2021. arXiv:2010.05792.

  $\bullet $ Annika Bach, Roberta Marziani, and Caterina Ida Zeppieri. Γ-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals. arXiv e-prints, February 2021. arXiv:2102.09872.

  $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs. arXiv e-prints, February 2021. arXiv:2102.12453.

  $\bullet $ Farmer Schlutzenberg. Full normalization for transfinite stacks. arXiv e-prints, February 2021. arXiv:2102.03359.

  $\bullet $ Barbara Niethammer, Robert L. Pego, André Schlichting, and Juan J. L. Velázquez. Oscillations in a Becker-Döring model with injection and depletion. arXiv e-prints, February 2021. arXiv:2102.06751.

  $\bullet $ Víctor Navarro-Fernández, André Schlichting, and Christian Seis. Optimal stability estimates and a new uniqueness result for advection-diffusion equations. arXiv e-prints, February 2021. arXiv:2102.07759.

  $\bullet $ Jonas McCandless. On curves in K-theory and TR. arXiv e-prints, February 2021. arXiv:2102.08281.

  $\bullet $ Robert Kropholler. Constructing groups of type $FP_2$ over fields but not over the integers. arXiv e-prints, February 2021. arXiv:2102.13509.

  $\bullet $ Zakhar Kabluchko, Andrea Sartori, and Igor Wigman. Expected nodal volume for non-Gaussian random band-limited functions. arXiv e-prints, February 2021. arXiv:2102.11689.

  $\bullet $ Hans-Joachim Hein and Valentino Tosatti. Smooth asymptotics for collapsing Calabi-Yau metrics. arXiv e-prints, February 2021. arXiv:2102.03978.

  $\bullet $ Giles Gardam. A counterexample to the unit conjecture for group rings. arXiv e-prints, February 2021. arXiv:2102.11818.

  $\bullet $ Steffen Dereich and Sebastian Kassing. Convergence of stochastic gradient descent schemes for Lojasiewicz-landscapes. arXiv e-prints, February 2021. arXiv:2102.09385.

  $\bullet $ Ulrich Bunke, Alexander Engel, and Markus Land. A stable ∞-category for equivariant KK-theory. arXiv e-prints, February 2021. arXiv:2102.13372.

  $\bullet $ Clark Barwick, Saul Glasman, Akhil Mathew, and Thomas Nikolaus. K-theory and polynomial functors. arXiv e-prints, February 2021. arXiv:2102.00936.

  $\bullet $ Gerold Alsmeyer, Sara Brofferio, and Dariusz Buraczewski. Asymptotically linear iterated function systems on the real line. arXiv e-prints, February 2021. arXiv:2102.02299.

  $\bullet $ Martin Brückerhoff and Nicolas Juillet. Instability of martingale optimal transport in dimension d $\ge $ 2. arXiv e-prints, January 2021. arXiv:2101.06964.

  $\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Lattice ground states for embedded-atom models in 2d and 3d. arXiv e-prints, January 2021. arXiv:2101.05602.

  $\bullet $ Paul Striewski and Benedikt Wirth. Elastic 3d-2d image registration. arXiv e-prints, January 2021. arXiv:2101.03393.

  $\bullet $ Farmer Schlutzenberg. Background construction for λ-indexed mice. arXiv e-prints, January 2021. arXiv:2101.00889.

  $\bullet $ Adrian Riekert. Wasserstein convergence rate for empirical measures of markov chains. arXiv e-prints, January 2021. arXiv:2101.06936.

  $\bullet $ Stephan Luckhaus and Konstantinos Zemas. Rigidity estimates for isometric and conformal maps from $\mathbb S(n-1)$ to $\mathbb R^n$. arXiv e-prints, January 2021. arXiv:2101.03846.

  $\bullet $ Martin Hils, Ehud Hrushovski, and Pierre Simon. Definable equivariant retractions in non-archimedean geometry. arXiv e-prints, January 2021. arXiv:2101.02619.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation II: the Gaussian limit tessellation. arXiv e-prints, January 2021. arXiv:2101.11316.

  $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. Jsj decompositions and polytopes for two-generator one-relator groups. arXiv e-prints, January 2021. arXiv:2101.02193.

  $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. A global method for deterministic and stochastic homogenisation in $BV$. arXiv e-prints, January 2021. arXiv:2101.04174.

  $\bullet $ Martin Burger, Ina Humpert, and Jan-Frederik Pietschmann. Dynamic optimal transport on networks. arXiv e-prints, January 2021. arXiv:2101.03415.

  $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramírez, and Santiago Saglietti. The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior. arXiv e-prints, January 2021. arXiv:2101.04606v3.

  $\bullet $ Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, Jacqui Ramagge, Aidan Sims, and Benjamin Steinberg. Reconstruction of twisted Steinberg algebras. arXiv e-prints, January 2021. arXiv:2101.08556.

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  2020

  $\bullet $ Qi Yao. Invariant scalar-flat Kähler metrics on line bundles over generalized flag varieties. arXiv e-prints, December 2020. arXiv:2012.04496.

  $\bullet $ Arnulf Jentzen and Adrian Riekert. Strong overall error analysis for the training of artificial neural networks via random initializations. arXiv e-prints, December 2020. arXiv:2012.08443.

  $\bullet $ Pierfrancesco Beneventano, Patrick Cheridito, Arnulf Jentzen, and Philippe von Wurstemberger. High-dimensional approximation spaces of artificial neural networks and applications to partial differential equations. arXiv e-prints, December 2020. arXiv:2012.04326.

  $\bullet $ Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld. Deep learning based numerical approximation algorithms for stochastic partial differential equations and high-dimensional nonlinear filtering problems. arXiv e-prints, December 2020. arXiv:2012.01194.

  $\bullet $ Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, and Benno Kuckuck. An overview on deep learning-based approximation methods for partial differential equations. arXiv e-prints, December 2020. arXiv:2012.12348.

  $\bullet $ Robert Kropholler, Rylee Alanza Lyman, and Thomas Ng. Extensions of hyperbolic groups have locally uniform exponential growth. arXiv e-prints, December 2020. arXiv:2012.14880.

  $\bullet $ Tamir Hemo, Timo Richarz, and Jakob Scholbach. Constructible sheaves on schemes and a categorical Künneth formula. arXiv e-prints, December 2020. arXiv:2012.02853.

  $\bullet $ Farmer Schlutzenberg. Ordinal definability in $L[\mathbb E]$. arXiv e-prints, December 2020. arXiv:2012.07185.

  $\bullet $ Julia Schleuß and Kathrin Smetana. Optimal local approximation spaces for parabolic problems. arXiv e-prints, December 2020. arXiv:2012.02759.

  $\bullet $ Aleksandra Kwiatkowska and Aristotelis Panagiotopoulos. The automorphism group of the random poset does not admit a generic pair. arXiv e-prints, December 2020. arXiv:2012.04376.

  $\bullet $ Hanne Hardering and Benedikt Wirth. Quartic $L^p$-convergence of cubic Riemannian splines. arXiv e-prints, December 2020. arXiv:2012.08289.

  $\bullet $ Samuel Evington. Nuclear dimension of extensions of $\mathcal o_\infty $-stable algebras. arXiv e-prints, December 2020. arXiv:2012.03650.

  $\bullet $ Johannes Ebert and Michael Wiemeler. On the homotopy type of the space of metrics of positive scalar curvature. arXiv e-prints, December 2020. arXiv:2012.00432.

  $\bullet $ Noel Brady, Robert Kropholler, and Ignat Soroko. Homological Dehn functions of groups of type $fp_2$. arXiv e-prints, December 2020. arXiv:2012.00730.

  $\bullet $ Annika Bach, Marco Cicalese, Leonard Kreutz, and Gianluca Orlando. The antiferromagnetic XY model on the triangular lattice: Topological singularities. arXiv e-prints, November 2020. arXiv:2011.10445.

  $\bullet $ Julian Kranz. The weak containment problem for étale groupoids which are strongly amenable at infinity. arXiv e-prints, November 2020. arXiv:2011.13852.

  $\bullet $ Dennis Heinig, Tim de Laat, and Timo Siebenand. Group $C^*$-algebras of locally compact groups acting on trees. arXiv e-prints, November 2020. arXiv:2011.11265.

  $\bullet $ Christian Seis and Dominik Winkler. A well-posedness result for a system of cross-diffusion equations. arXiv e-prints, November 2020. arXiv:2011.09186v1.

  $\bullet $ Fabian Hebestreit and Achim Krause. Mapping spaces in homotopy coherent nerves. arXiv e-prints, November 2020. arXiv:2011.09345.

  $\bullet $ Michael Ben-Zvi, Robert Kropholler, and Rylee Alanza Lyman. Folding-like techniques for $\mathrm C \mathrm A \mathrm T(0)$ cube complexes. arXiv e-prints, November 2020. arXiv:2011.05374.

  $\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Γ-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation. arXiv e-prints, October 2020. arXiv:2010.05461.

  $\bullet $ Holger Knöpfel, Matthias Löwe, and Holger Sambale. Large deviations and a phase transition in the Block Spin Potts models. arXiv e-prints, October 2020. arXiv:2010.15542.

  $\bullet $ Julia Brunken and Kathrin Smetana. Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation. arXiv e-prints, October 2020. arXiv:2010.15784.

  $\bullet $ Claudius Heyer. Parabolic induction via the parabolic pro-$p$ Iwahori–Hecke algebra. arXiv e-prints, October 2020. arXiv:2010.08435v1.

  $\bullet $ Olivier Graf. Global nonlinear stability of Minkowski space for spacelike-characteristic initial data. arXiv e-prints, October 2020. arXiv:2010.12434.

  $\bullet $ Georg Frenck and Jens Reinhold. Spaces of metrics of positive Ricci curvature and bundles with non-multiplicative Â-genus. arXiv e-prints, October 2020. arXiv:2010.04588.

  $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Partial C*-dynamics and Rokhlin dimension. arXiv e-prints, October 2020. arXiv:2010.03511.

  $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity. arXiv e-prints, September 2020. arXiv:2009.07224.

  $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings. arXiv e-prints, September 2020. arXiv:2009.07225.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities. arXiv e-prints, September 2020. arXiv:2009.02484.

  $\bullet $ Christian Beck, Arnulf Jentzen, and Thomas Kruse. Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations. arXiv e-prints, September 2020. arXiv:2009.13989.

  $\bullet $ Urs Hartl and Chia-Fu Yu. Arithmetic Satake compactifications and algebraic Drinfeld modular forms. arXiv e-prints, September 2020. arXiv:2009.13934.

  $\bullet $ Jeroen Winkel. Geometric property (T) for non-discrete spaces. arXiv e-prints, September 2020. arXiv:2009.07339.

  $\bullet $ Hannes Thiel. Diffuse traces and Haar unitaries. arXiv e-prints, September 2020. arXiv:2009.06940.

  $\bullet $ Andreas G. A. Pithis and Johannes Thürigen. Phase transitions in TGFT: functional renormalization group in the cyclic-melonic potential approximation and equivalence to O$(N)$ models. arXiv e-prints, September 2020. arXiv:2009.13588v1.

  $\bullet $ Philip Möller and Olga Varghese. Abstract group actions of locally compact groups on $\mathrm C \mathrm A \mathrm T(0)$ spaces. arXiv e-prints, September 2020. arXiv:2009.10470.

  $\bullet $ Stefan Hoffelner. Forcing the $\pi ^1_3$-reduction property. arXiv e-prints, September 2020. arXiv:2009.02209.

  $\bullet $ Thomas Godland and Zakhar Kabluchko. Projections and angle sums of permutohedra and other polytopes. arXiv e-prints, September 2020. arXiv:2009.04186.

  $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian K-theory for stable ∞-categories I: Foundations. arXiv e-prints, September 2020. arXiv:2009.07223.

  $\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Angle-rigidity for $\mathbb z^2$ configurations. arXiv e-prints, September 2020. arXiv:2009.11503v1.

  $\bullet $ Zakhar Kabluchko. An identity for the coefficients of characteristic polynomials of hyperplane arrangements. arXiv e-prints, August 2020. arXiv:2008.06719.

  $\bullet $ Valentina Disarlo, Thomas Koberda, and J. de la Nuez González. The model theory of the curve graph. arXiv e-prints, August 2020. arXiv:2008.10490.

  $\bullet $ Weinan E, Jiequn Han, and Arnulf Jentzen. Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. arXiv e-prints, August 2020. arXiv:2008.13333.

  $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n). arXiv e-prints, August 2020. arXiv:2008.08555.

  $\bullet $ Rudolf Zeidler. Width, largeness and index theory. arXiv e-prints, August 2020. arXiv:2008.13754.

  $\bullet $ Tim Clausen. Dp-minimal profinite groups and valuations on the integers. arXiv e-prints, August 2020. arXiv:2008.08797.

  $\bullet $ Johannes Branahl, Alexander Hock, and Raimar Wulkenhaar. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures. arXiv e-prints, August 2020. arXiv:2008.12201.

  $\bullet $ Yannic Bröker and Chiranjib Mukherjee. Geometry of the Gaussian multiplicative chaos in the Wiener space. arXiv e-prints, August 2020. arXiv:2008.04290.

  $\bullet $ Achim Krause. The Picard group in equivariant homotopy theory via stable module categories. arXiv e-prints, August 2020. arXiv:2008.05551.

  $\bullet $ Aritz Bercher, Lukas Gonon, Arnulf Jentzen, and Diyora Salimova. Weak error analysis for stochastic gradient descent optimization algorithms. arXiv e-prints, July 2020. arXiv:2007.02723.

  $\bullet $ Gi-Chan Bae, Christian Klingenberg, Marlies Pirner, and Seok-Bae Yun. BGK model of the multi-species Uehling-Uhlenbeck equation. arXiv e-prints, July 2020. arXiv:1912.01677.

  $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type. arXiv e-prints, July 2020. arXiv:2007.14157.

  $\bullet $ Thomas Godland and Zakhar Kabluchko. Angle sums of Schläfli orthoschemes. arXiv e-prints, July 2020. arXiv:2007.02293.

  $\bullet $ Thomas Godland, Zakhar Kabluchko, and Dmitry Zaporozhets. Angle sums of random polytopes. arXiv e-prints, July 2020. arXiv:2007.02590.

  $\bullet $ Christian Seis and Emil Wiedemann. On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity. arXiv e-prints, July 2020. arXiv:2007.01091.

  $\bullet $ Andreas G. A. Pithis and Johannes Thürigen. (no) phase transition in tensorial field theory. arXiv e-prints, July 2020. arXiv:2007.08982.

  $\bullet $ Tobias Leibner and Mario Ohlberger. A new coordinate-transformed discretization method for minimum entropy moment approximations of linear kinetic equations. arXiv e-prints, July 2020. arXiv:2007.04467.

  $\bullet $ Zakhar Kabluchko and Joscha Prochno. The maximum entropy principle and volumetric properties of Orlicz balls. arXiv e-prints, July 2020. arXiv:2007.05247v2.

  $\bullet $ Fabian Hornung, Arnulf Jentzen, and Diyora Salimova. Space-time deep neural network approximations for high-dimensional partial differential equations. arXiv e-prints, June 2020. arXiv:2006.02199.

  $\bullet $ Hannes Thiel. Generators in $\mathcal Z$-stable $C*$-algebras of real rank zero. arXiv e-prints, June 2020. arXiv:2006.08404.

  $\bullet $ Hannes Thiel. The generator rank of subhomogeneous $C*$-algebras. arXiv e-prints, June 2020. arXiv:2006.03624.

  $\bullet $ Farmer Schlutzenberg. Extenders under ZF and constructibility of rank-into-rank embeddings. arXiv e-prints, June 2020. arXiv:2006.10574.

  $\bullet $ Farmer Schlutzenberg. Choice principles in local mantles. arXiv e-prints, June 2020. arXiv:2006.01119.

  $\bullet $ Farmer Schlutzenberg. On the consistency of ZF with an elementary embedding from $V_\lambda +2$ into $V_\lambda +2$. arXiv e-prints, June 2020. arXiv:2006.01077.

  $\bullet $ Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, and Stefan Volkwein. A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization. arXiv e-prints, June 2020. arXiv:2006.09297.

  $\bullet $ Gabriel Goldberg and Farmer Schlutzenberg. Periodicity in the cumulative hierarchy. arXiv e-prints, June 2020. arXiv:2006.01103.

  $\bullet $ Manuel Friedrich, Leonard Kreutz, and Bernd Schmidt. Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. arXiv e-prints, June 2020. arXiv:2006.01558.

  $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Non-convergence of stochastic gradient descent in the training of deep neural networks. arXiv e-prints, June 2020. arXiv:2006.07075.

  $\bullet $ Martin Brückerhoff, Martin Huesmann, and Nicolas Juillet. Shadow martingales – a stochastic mass transport approach to the peacock problem. arXiv e-prints, June 2020. arXiv:2006.10478.

  $\bullet $ Christopher Deninger. A pro-algebraic fundamental group for topological spaces. arXiv e-prints, May 2020. arXiv:2005.13893.

  $\bullet $ Farmer Schlutzenberg. A weak reflection of Reinhardt by super Reinhardt cardinals. arXiv e-prints, May 2020. arXiv:2005.11111.

  $\bullet $ Pierre Touchard. Stably embedded submodels of Henselian valued fields. arXiv e-prints, May 2020. arXiv:2005.02363.

  $\bullet $ Timo Siebenand. On the ideal structure of the Fourier-Stieltjes algebra of certain groups. arXiv e-prints, May 2020. arXiv:2005.01772.

  $\bullet $ Zakhar Kabluchko and Christoph Thäle. Faces in random great hypersphere tessellations. arXiv e-prints, May 2020. arXiv:2005.01055.

  $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation I: description of the model and geometry of typical cells. arXiv e-prints, May 2020. arXiv:2005.13875.

  $\bullet $ Vito Crismale, Manuel Friedrich, and Francesco Solombrino. Integral representation for energies in linear elasticity with surface discontinuities. arXiv e-prints, May 2020. arXiv:2005.06866v1.

  $\bullet $ Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, and Philippe von Wurstemberger. Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations. arXiv e-prints, May 2020. arXiv:2005.10206v2.

  $\bullet $ Anastas Baci, Zakhar Kabluchko, Joscha Prochno, Mathias Sonnleitner, and Christoph Thaele. Limit theorems for random points in a simplex. arXiv e-prints, May 2020. arXiv:2005.04911v1.

  $\bullet $ Annika Bach, Marco Cicalese, Leonard Kreutz, and Gianluca Orlando. The antiferromagnetic XY model on the triangular lattice: Chirality transitions at the surface scaling. arXiv e-prints, April 2020. arXiv:2004.01416.

  $\bullet $ André Schlichting and Christian Seis. The Scharfetter–Gummel scheme for aggregation-diffusion equations. arXiv e-prints, April 2020. arXiv:2004.13981.

  $\bullet $ Christian Beck, Martin Hutzenthaler, and Arnulf Jentzen. On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations. arXiv e-prints, April 2020. arXiv:2004.03389.

  $\bullet $ Karl H. Hofmann and Linus Kramer. On weakly complete universal enveloping algebras of pro-Lie algebras. arXiv e-prints, April 2020. arXiv:2004.11541.

  $\bullet $ Fabian Hebestreit, Markus Land, and Thomas Nikolaus. On the homotopy type of L-spectra of the integers. arXiv e-prints, April 2020. arXiv:2004.06889v1.

  $\bullet $ Thomas Godland and Zakhar Kabluchko. Conical tessellations associated with Weyl chambers. arXiv e-prints, April 2020. arXiv:2004.10466.

  $\bullet $ Georg Frenck. H-space structures on spaces of metrics of positive scalar curvature. arXiv e-prints, April 2020. arXiv:2004.01033v1.

  $\bullet $ Arnulf Jentzen and Timo Welti. Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation. arXiv e-prints, March 2020. arXiv:2003.01291.

  $\bullet $ Christian Beck, Lukas Gonon, and Arnulf Jentzen. Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations. arXiv e-prints, March 2020. arXiv:2003.00596v1.

  $\bullet $ Carolin Dirks and Benedikt Wirth. An adaptive finite element approach for lifted branched transport problems. arXiv e-prints, March 2020. arXiv:2003.13797.

  $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Decomposable partial actions. arXiv e-prints, March 2020. arXiv:2003.14051.

  $\bullet $ Olga Varghese. Automorphism groups of Coxeter groups do not have Kazhdan's property (T). arXiv e-prints, March 2020. arXiv:2003.04111v1.

  $\bullet $ Christian Seis. Diffusion limited mixing rates in passive scalar advection. arXiv e-prints, March 2020. arXiv:2003.08794.

  $\bullet $ Timo Richarz and Jakob Scholbach. Tate motives on Witt vector affine flag varieties. arXiv e-prints, March 2020. arXiv:2003.02593.

  $\bullet $ Stephan Rave and Jens Saak. An instationary thermal-block benchmark model for parametric model order reduction. arXiv e-prints, pages arXiv:2003.00846, March 2020. arXiv:2003.00846v1.

  $\bullet $ Zakhar Kabluchko, Daniel Temesvari, and Christoph Thäle. A new approach to weak convergence of random cones and polytopes. arXiv e-prints, March 2020. arXiv:2003.04001.

  $\bullet $ Manuel Friedrich, Martin Kružík, and Ulisse Stefanelli. Equilibrium of immersed hyperelastic solids. arXiv e-prints, March 2020. arXiv:2003.02358.

  $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Amenability and weak containment for actions of locally compact groups on $C^*$-algebras. arXiv e-prints, March 2020. arXiv:2003.03469.

  $\bullet $ Bachir Bekka and Siegfried Echterhoff. On unitary representations of algebraic groups over local fields. arXiv e-prints, March 2020. arXiv:2003.02297.

  $\bullet $ Benjamin Antieau, Akhil Mathew, Matthew Morrow, and Thomas Nikolaus. On the Beilinson fiber square. arXiv e-prints, March 2020. arXiv:2003.12541.

  $\bullet $ Farmer Schlutzenberg. Reinhardt cardinals and iterates of $v$. arXiv e-prints, February 2020. arXiv:2002.01215.

  $\bullet $ Manuel Friedrich and Ulisse Stefanelli. Ripples in graphene: A variational approach. arXiv e-prints, February 2020. arXiv:1802.05053.

  $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. arXiv e-prints, February 2020. arXiv:2002.11372.

  $\bullet $ Xavier Pellet, Lucia Scardia, and Caterina Ida Zeppieri. Stochastic homogenisation of free-discontinuity functionals in random perforated domains. arXiv e-prints, February 2020. arXiv:2002.01389.

  $\bullet $ Shirly Geffen. Nuclear dimension of crossed products associated to partial dynamical systems. arXiv e-prints, February 2020. arXiv:2002.03287v1.

  $\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD. arXiv e-prints, February 2020. arXiv:2002.08133v1.

  $\bullet $ Emanuele Dotto, Achim Krause, Thomas Nikolaus, and Irakli Patchkoria. Witt vectors with coefficients and characteristic polynomials over non-commutative rings. arXiv e-prints, February 2020. arXiv:2002.01538v1.

  $\bullet $ Kristin Courtney. Universal $C^*$-algebras with the local lifting property. arXiv e-prints, February 2020. arXiv:2002.02365v1.

  $\bullet $ Tim Clausen and Katrin Tent. On the geometry of sharply 2-transitive groups. arXiv e-prints, February 2020. arXiv:2002.05187.

  $\bullet $ Arthur Bartels and Wolfgang Lueck. Vanishing of Nil-terms and negative K-theory for additive categories. arXiv e-prints, February 2020. arXiv:2002.03412v1.

  $\bullet $ Julio Backhoff, Alexander M. G. Cox, Annemarie Grass, and Martin Huesmann. Switching identities by probabilistic means. arXiv e-prints, February 2020. arXiv:2002.12840.

  $\bullet $ Omar Mohsen. Index theorem for inhomogeneous hypoelliptic differential operators. arXiv e-prints, January 2020. arXiv:2001.00488.

  $\bullet $ Matteo Laudonio, Romain Pascalie, and Adrian Tanasa. Combinatorial aspects of the Sachdev-Ye-Kitaev model. arXiv e-prints, January 2020. arXiv:2001.11849.

  $\bullet $ Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, and Larisa Yaroslavtseva. Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven SDEs with smooth drift coefficient functions with at most polynomially growing derivatives. arXiv e-prints, January 2020. arXiv:2001.03472.

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  2019

  $\bullet $ Christian Engwer, Iuliu Sorin Pop, and Thomas Wick. Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation. arXiv e-prints, December 2019. arXiv:1912.07096.

  $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Efficient approximation of high-dimensional functions with deep neural networks. arXiv e-prints, December 2019. arXiv:1912.04310.

  $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Pricing and hedging American-style options with deep learning. arXiv e-prints, December 2019. arXiv:1912.11060.

  $\bullet $ Ajay Chandra, Augustin Moinat, and Hendrik Weber. A priori bounds for the $\Phi ^4$ equation in the full sub-critical regime. arXiv e-prints, December 2019. arXiv:1910.13854.

  $\bullet $ Nils-Arne Dreier and Christian Engwer. Strategies for the vectorized Block Conjugate Gradients method. arXiv e-prints, December 2019. arXiv:1912.11930.

  $\bullet $ Christian Seis. A note on the vanishing viscosity limit in the Yudovich class. arXiv e-prints, December 2019. arXiv:1912.07345.

  $\bullet $ Jörg Schürmann and Raimar Wulkenhaar. Towards integrability of the quartic analogue of the Kontsevich model. arXiv e-prints, December 2019. arXiv:1912.03979.

  $\bullet $ Georg Frenck. The action of the mapping class group on metrics of positive scalar curvature. arXiv e-prints, December 2019. arXiv:1912.08613.

  $\bullet $ Alexander Effland, Behrend Heeren, Martin Rumpf, and Benedikt Wirth. Consistent curvature approximation on Riemannian shape spaces. arXiv e-prints, December 2019. arXiv:1912.07336.

  $\bullet $ Carolin Dirks, Paul Striewski, Benedikt Wirth, Anne Aalto, Adan Olguin-Olguin, and Erez Raz. A mathematical model for cell polarization in zebrafish primordial germ cells. arXiv e-prints, December 2019. arXiv:1912.08627.

  $\bullet $ Steffen Dereich and Sebastian Kassing. Central limit theorems for stochastic gradient descent with averaging for stable manifolds. arXiv e-prints, December 2019. arXiv:1912.09187.

  $\bullet $ Tim de Laat and Timo Siebenand. Exotic group $C^*$-algebras of simple Lie groups with real rank one. arXiv e-prints, December 2019. arXiv:1912.02128.

  $\bullet $ Lukas Gonon, Philipp Grohs, Arnulf Jentzen, David Kofler, and David Šiška. Uniform error estimates for artificial neural network approximations for heat equations. arXiv e-prints, November 2019. arXiv:1911.09647.

  $\bullet $ Michael B. Giles, Arnulf Jentzen, and Timo Welti. Generalised multilevel Picard approximations. arXiv e-prints, November 2019. arXiv:1911.03188.

  $\bullet $ Zakhar Kabluchko and Christoph Thaele. The typical cell of a Voronoi tessellation on the sphere. arXiv e-prints, November 2019. arXiv:1911.07221.

  $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small p and the critical temperature. arXiv e-prints, November 2019. arXiv:1911.10624.

  $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Felix Lindner, and Primož Pušnik. Strong convergence rates on the whole probability space for space-time discrete numerical approximation schemes for stochastic Burgers equations. arXiv e-prints, November 2019. arXiv:1911.01870.

  $\bullet $ Friedrich Götze, Zakhar Kabluchko, and Dmitry Zaporozhets. Grassmann angles and absorption probabilities of Gaussian convex hulls. arXiv e-prints, November 2019. arXiv:1911.04184.

  $\bullet $ Gilles Bonnet, Zakhar Kabluchko, and Nicola Turchi. Phase transition for the volume of high-dimensional random polytopes. arXiv e-prints, November 2019. arXiv:1911.12696.

  $\bullet $ Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, and Stefan Turek. Exa-Dune – flexible PDE solvers, numerical methods and applications. arXiv e-prints, November 2019. arXiv:1911.01492.

  $\bullet $ Sylvy Anscombe and Franziska Jahnke. Characterizing NIP henselian fields. arXiv e-prints, November 2019. arXiv:1911.00309.

  $\bullet $ Stefan Adams and Chiranjib Mukherjee. Commutative diagram of the Gross-Pitaevskii approximation. arXiv e-prints, November 2019. arXiv:1911.09635.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thaele. A new look at random projections of the cube and general product measures. arXiv e-prints, October 2019. arXiv:1910.02676.

  $\bullet $ Becky Armstrong, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, and Jacqui Ramagge. Twisted Steinberg algebras. arXiv e-prints, October 2019. arXiv:1910.13005.

  $\bullet $ Massoud Amini, Siegfried Echterhoff, and Hamed Nikpey. $C^*$-Operator systems and crossed products. arXiv e-prints, October 2019. arXiv:1910.06605.

  $\bullet $ Gerold Alsmeyer and Chiranjib Mukherjee. On Null-homology and stationary sequences. arXiv e-prints, October 2019. arXiv:1910.07378.

  $\bullet $ Stefan Czimek and Olivier Graf. The canonical foliation on null hypersurfaces in low regularity. arXiv e-prints, September 2019. arXiv:1909.07345.

  $\bullet $ Stefan Czimek and Olivier Graf. The spacelike-characteristic Cauchy problem of general relativity in low regularity. arXiv e-prints, September 2019. arXiv:1909.07355.

  $\bullet $ Christan Beck, Arnulf Jentzen, and Benno Kuckuck. Full error analysis for the training of deep neural networks. arXiv e-prints, September 2019. arXiv:1910.00121.

  $\bullet $ Zakhar Kabluchko. Angles of random simplices and face numbers of random polytopes. arXiv e-prints, September 2019. arXiv:1909.13335.

  $\bullet $ Karl Heinrich Hofmann and Linus Kramer. Group algebras of compact groups. arXiv e-prints, September 2019. arXiv:1904.00806.

  $\bullet $ Jörg Fehr, Christian Himpe, Stephan Rave, and Jens Saak. Sustainable research software hand-over. arXiv e-prints, September 2019. arXiv:1909.09469.

  $\bullet $ Alexander Engel, Christopher Wulff, and Rudolf Zeidler. Slant products on the Higson–Roe exact sequence. arXiv e-prints, September 2019. arXiv:1909.03777.

  $\bullet $ Yemon Choi, Eusebio Gardella, and Hannes Thiel. Rigidity results for $L^p$-operator algebras and applications. arXiv e-prints, September 2019. arXiv:arXiv:1909.03612.

  $\bullet $ Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, and Oliver Sander. The DUNE framework: Basic concepts and recent developments. arXiv e-prints, September 2019. arXiv:1909.13672.

  $\bullet $ Ramon Antoine, Francesc Perera, Leonel Robert, and Hannes Thiel. Edwards' condition for quasitraces on $C^*$-algebras. arXiv e-prints, September 2019. arXiv:1909.12787.

  $\bullet $ Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych, and Vladislav Vysotsky. How long is the convex minorant of a one-dimensional random walk? arXiv e-prints, September 2019. arXiv:1909.12322.

  $\bullet $ Sam Shepherd, Giles Gardam, and Daniel J. Woodhouse. Two generalisations of Leighton's Theorem. arXiv e-prints, August 2019. arXiv:1908.00830.

  $\bullet $ Arnd Scheel, Angela Stevens, and Christoph Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. arXiv e-prints, August 2019. arXiv:1908.04253.

  $\bullet $ Ina Humpert, Danila Di Meo, Andreas W. Püschel, and Jan-Frederik Pietschmann. On the role of vesicle transport in neurite growth: Modelling and experiments. arXiv e-prints, August 2019. arXiv:1908.02055.

  $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. Solution of the self-dual $\Phi ^4$ QFT-model on four-dimensional Moyal space. arXiv e-prints, August 2019. arXiv:1908.04543.

  $\bullet $ Filippo Calderoni, Aleksandra Kwiatkowska, and Katrin Tent. Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures. arXiv e-prints, August 2019. arXiv:1908.05249.

  $\bullet $ Gerold Alsmeyer and Bastien Mallein. A simple method to find all solutions to the functional equation of the smoothing transform. arXiv e-prints, July 2019. arXiv:1907.04111.

  $\bullet $ Zakhar Kabluchko. Angles of random simplices with applications to random polytopes. arXiv e-prints, July 2019. arXiv:1907.07534.

  $\bullet $ Jingjia Liu and Matthias Löwe. Moderate deviations for the size of the giant component in a random hypergraph. arXiv e-prints, July 2019. arXiv:1907.07834.

  $\bullet $ Achim Krause and Thomas Nikolaus. Bökstedt periodicity and quotients of DVRs. arXiv e-prints, July 2019. arXiv:1907.03477.

  $\bullet $ Stefano Ceci and Christian Seis. Vortex dynamics for 2D Euler flows with unbounded vorticity. arXiv e-prints, July 2019. arXiv:1907.10923.

  $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. High-dimensional limit theorems for random vectors in $l_p^n$-balls. II. arXiv e-prints, June 2019. arXiv:1906.03599.

  $\bullet $ Farmer Schlutzenberg. The definability of the extender sequence $\mathbb E$ from $\mathbb E \upharpoonright \aleph _1$ in $L[\mathbb E]$. arXiv e-prints, June 2019. arXiv:1906.00276v1.

  $\bullet $ Camilla Nobili and Christian Seis. Renormalization and energy conservation for axisymmetric fluid flows. arXiv e-prints, June 2019. arXiv:1906.07400.

  $\bullet $ Martin Nitsche, Thomas Schick, and Rudolf Zeidler. Transfer maps in generalized group homology via submanifolds. arXiv e-prints, June 2019. arXiv:1906.01190.

  $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. Solution of all quartic matrix models. arXiv e-prints, June 2019. arXiv:1906.04600.

  $\bullet $ Christian Clason, Dirk A. Lorenz, Hinrich Mahler, and Benedikt Wirth. Entropic regularization of continuous optimal transport problems. arXiv e-prints, June 2019. arXiv:1906.01333.

  $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez, and Santiago Saglietti. Quenched and averaged large derivation rate functions for random walks in random environments: The impact of disorder. arXiv e-prints, June 2019. arXiv:1906.05328.

  $\bullet $ David Asperó and Ralf Schindler. MM++ implies $(*)$. arXiv e-prints, June 2019. arXiv:1906.10213.

  $\bullet $ David Alonso-Gutiérrez, Florian Besau, Julian Grote, Zakhar Kabluchko, Matthias Reitzner, Christoph Thäle, Beatrice-Helen Vritsiou, and Elisabeth M. Werner. Asymptotic normality for random simplices and convex bodies in high dimensions. arXiv e-prints, June 2019. arXiv:1906.02471.

  $\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Conformal nets V: dualizability. arXiv e-prints, May 2019. arXiv:1905.03393.

  $\bullet $ Rudolf Zeidler. Band width estimates via the Dirac operator. arXiv e-prints, May 2019. arXiv:1905.08520.

  $\bullet $ Matthias Löwe and Kristina Schubert. Exact recovery in block spin Ising models at the critical line. arXiv e-prints, May 2019. arXiv:1906.00021.

  $\bullet $ Michael Goldman, Martin Huesmann, and Felix Otto. Quantitative linearization results for the Monge-Ampère equation. arXiv e-prints, May 2019. arXiv:1905.09678.

  $\bullet $ Gabriel Fernandes and Ralf Schindler. Tall cardinals in extender models. arXiv e-prints, May 2019. arXiv:1905.10340.

  $\bullet $ Francis Comets, Clement Cosco, and Chiranjib Mukherjee. Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d\geq 3$ and the Gaussian free field. arXiv e-prints, May 2019. arXiv:1905.03200.

  $\bullet $ Paolo Antonini, Alcides Buss, Alexander Engel, and Timo Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group $C^*$-algebras. arXiv e-prints, May 2019. arXiv:1905.07730.

  $\bullet $ Ramon Antoine, Francesc Perera, and Hannes Thiel. Cuntz semigroups of ultraproduct $C^*$-algebras. arXiv e-prints, May 2019. arXiv:1905.03208.

  $\bullet $ Matthias Löwe, Kristina Schubert, and Franck Vermet. Multi-group binary choice with social interaction and a random communication structure - a random graph approach. arXiv e-prints, April 2019. arXiv:1904.11890.

  $\bullet $ Jins de Jong, Alexander Hock, and Raimar Wulkenhaar. Catalan tables and a recursion relation in noncommutative quantum field theory. arXiv e-prints, April 2019. arXiv:1904.11231.

  $\bullet $ Manuel Friedrich and Francesco Solombrino. Functionals defined on piecewise rigid functions: Integral representation and Γ-convergence. arXiv e-prints, April 2019. arXiv:1904.06305.

  $\bullet $ Manuel Friedrich, Martin Kružík, and Jan Valdman. Numerical approximation of von Kármán viscoelastic plates. arXiv e-prints, April 2019. arXiv:1904.01951.

  $\bullet $ Sylvy Anscombe and Franziska Jahnke. The model theory of Cohen rings. arXiv e-prints, April 2019. arXiv:1904.08297.

  $\bullet $ Gönenç Onay. Modules $C$-minimaux sur des anneaux de polynômes tordus. arXiv e-prints, March 2019. arXiv:1903.05515.

  $\bullet $ Andre Nies, Philipp Schlicht, and Katrin Tent. Oligomorphic groups are essentially countable. arXiv e-prints, March 2019. arXiv:1903.08436.

  $\bullet $ Lars Hesselholt and Thomas Nikolaus. Algebraic $ K $-theory of planar cuspidal curves. arXiv e-prints, March 2019. arXiv:1903.08295.

  $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. A Laplacian to compute intersection numbers on M_g,n and correlation functions in NCQFT. arXiv e-prints, March 2019. arXiv:1903.12526.

  $\bullet $ Mirko Ebbers and Matthias Löwe. Equi-Energy sampling does not converge rapidly on the Potts model close to the critical temperature. arXiv e-prints, March 2019. arXiv:1904.00394.

  $\bullet $ Benedikt Wirth. Green's function for Poisson's equation and the EEG equation with Neumann boundary condition on $n$-balls. arXiv e-prints, February 2019. arXiv:1902.04130.

  $\bullet $ Bernhard Schmitzer, Klaus P. Schäfers, and Benedikt Wirth. Dynamic cell imaging in PET with optimal transport regularization. arXiv e-prints, February 2019. arXiv:1902.07521.

  $\bullet $ Nils Leder and Olga Varghese. On property (T) for automorphism groups of graph products. arXiv e-prints, February 2019. arXiv:1902.04370.

  $\bullet $ Holger Knöpfel, Matthias Löwe, Kristina Schubert, and Arthur Sinulis. Fluctuation results for general block spin Ising models. arXiv e-prints, February 2019. arXiv:1902.02080.

  $\bullet $ Zakhar Kabluchko and Igor Wigman. Asymptotics for the expected number of nodal components for random lemniscates. arXiv e-prints, February 2019. arXiv:1902.08424.

  $\bullet $ Manuel Friedrich and Martin Kružík. Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity. arXiv e-prints, February 2019. arXiv:1902.10037.

  $\bullet $ Manuel Friedrich and Leonard Kreutz. Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. arXiv e-prints, February 2019. arXiv:1903.00331.

  $\bullet $ Francis Comets, Clement Cosco, and Chiranjib Mukherjee. Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder. arXiv e-prints, February 2019. arXiv:1902.04104.

  $\bullet $ Andreas Buhr, Laura Iapichino, Mario Ohlberger, Stephan Rave, Felix Schindler, and Kathrin Smetana. Localized model reduction for parameterized problems. arXiv e-prints, pages 51, February 2019. arXiv:1902.08300.

  $\bullet $ Paolo Aluffi, Leonardo Mihalcea, Jörg Schürmann, and C. Su. Positivity of Segre-MacPherson classes. arXiv e-prints, February 2019. arXiv:1902.00762.

  $\bullet $ Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem. arXiv e-prints, February 2019. arXiv:1902.10101.

  $\bullet $ Zakhar Kabluchko. Expected $f$-vector of the poisson zero polytope and random convex hulls in the half-sphere. arXiv e-prints, January 2019. arXiv:1901.10528.

  $\bullet $ Yatir Halevi, Assaf Hasson, and Franziska Jahnke. Definable V-topologies, henselianity and NIP. arXiv e-prints, January 2019. arXiv:1901.05920.

  $\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Nuclear dimension of simple C*-algebras. arXiv e-prints, January 2019. arXiv:1901.05853.

  $\bullet $ Martin Bays and Kobi Peterzil. Definability in the group of infinitesimals of a compact Lie group. arXiv e-prints, January 2019. arXiv:1901.10831.

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• Research Data

  $\bullet $ Hendrik Kleikamp: Source code to 'Two-stage model reduction approaches for the efficient and certified solution of parametrized optimal control problems' Published 2024-08-28. DOI - Link to Zenodo

  $\bullet $ Renelt, Lukas: Source code to 'Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems' Published 2024-06-24. DOI - Link to Zenodo

  $\bullet $ Renelt, Lukas: Source code to 'Construction of local reduced spaces for Friedrichs' systems via randomized training' Published 2024-06-04. DOI - Link to Zenodo

  $\bullet $ Kleikamp, Hendrik: Source code to 'Application of an adaptive model hierarchy to parametrized optimal control problems' Published 2024-02-16. DOI - Link to Zenodo

  $\bullet $ Hendrik Kleikamp: Source code to 'Be greedy and learn: efficient and certified algorithms for parametrized optimal control problems' Published 2023-07-27. DOI - Link to Zenodo

  $\bullet $ Renelt, Lukas: Source code to 'An optimally stable approximation of reactive transport using discrete test and infinite trial spaces' Published 2023-05-19. DOI - Link to Zenodo

  $\bullet $ Tim Keil: Software for: A Relaxed Localized Trust-Region Reduced Basis Approach for Optimization of Multiscale Problems Published 2023-04-12. DOI - Link to Zenodo

  $\bullet $ Schindler, Felix: A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs (supplement) Published 2022-11-30. DOI - Link to Zenodo

  $\bullet $ Tim Keil: TiKeil/SL-GFEM: Version 2022.1 Published 2022-11-16. DOI - Link to Zenodo

  $\bullet $ Schleuß, Julia: Source Code to "Randomized quasi-optimal local approximation spaces in time" Published 2022-09-30. DOI - Link to Zenodo

  $\bullet $ Tim Keil: Supplementary Software for the PhD-thesis "Adaptive Reduced Basis Methods for Multiscale Problems and Large-scale PDE-constrained Optimization" Published 2022-03-30. DOI - Link to Zenodo

  $\bullet $ Tim Keil, Stephan Rave: Software for An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition Published 2021-11-16. DOI - Link to Zenodo

  $\bullet $ Tim Keil, Mario Ohlberger: Software for Model Reduction for Large Scale Systems Published 2021-03-22. DOI - Link to Zenodo

  $\bullet $ Stefan Banholzer, Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, Stefan Volkwein: Software for Adaptive Projected Newton NCD corrected TR-RB approach for PDE constrained parameter optimization Published 2020-12-18. DOI - Link to Zenodo

  $\bullet $ Schleuß, Julia: Source Code to "Optimal local approximation spaces for parabolic problems" Published 2020-12-04. DOI - Link to Zenodo

  $\bullet $ Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, Stefan Volkwein: Software for NCD corrected TR-RB approach for PDE constrained optimization Published 2020-06-16. DOI - Link to Zenodo