Publications

Articles

Research Articles (Journals)

• Budde, Ilka, Schlichting, André, Ing, David, Schimmelpfennig, Sandra, Kuntze, Anna, Fels, Benedikt, Romac, Joelle M.-J., Swain, Sandip M., Liddle, Rodger A., Stevens, Angela, Schwab, Albrecht, and Pethő, Zoltán. 2024. “Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels.” BioRxiv, № 2024 doi: 10.1101/2023.12.22.572956.
• Esposito, A, Patacchini, FS, and Schlichting, A. 2024. “On a Class of Nonlocal Continuity Equations on Graphs.” European Journal of Applied Mathematics, № 35 (1): 109–126. doi: 10.1017/S0956792523000128.
• Navarro-Fernández, V, and Schlichting, A. 2023. “Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients.” ESAIM: Mathematical Modelling and Numerical Analysis, № 57 (4): 2131–2158. doi: 10.1051/m2an/2023035.
• Menz, G, Schlichting, A, Tang, W, and Wu, T. 2022. “Ergodicity of the infinite swapping algorithm at low temperature.” Stochastic Processes and their Applications, № 151: 519–552. doi: 10.1016/j.spa.2022.06.015.
• Niethammer Barbara, Pego Robert L., and Schlichting André, Velázquez Juan J. L. 2022. “Oscillations in a Becker-Döring model with injection and depletion.” SIAM Journal on Applied Mathematics, № 82 (4): 1194–1219. doi: 10.1137/20M1398664.
• Navarro-Fernández, V, Schlichting, A, and Seis, C. 2022. “Optimal stability estimates and a new uniqueness result for advection-diffusion equations.” Pure and Applied Analysis, № 4 (3): 571–596. doi: 10.2140/paa.2022.4.571.
• Peletier, Mark A., and Schlichting, André. 2022. “Cosh gradient systems and tilting.” Nonlinear Analysis: Theory, Methods and Applications, № 2203 113094. doi: 10.1016/j.na.2022.113094.
• Schlichting, André, and Seis, Christian. 2021. “The Scharfetter–Gummel scheme for aggregation–diffusion equations.” IMA Journal of Numerical Analysis, № 42 (3): 2361–2402. doi: 10.1093/imanum/drab039.
• Eichenberg, C, and Schlichting, A. 2021. “Self-similar behavior of the exchange-driven growth model with product kernel.” Commun. Partial. Differ. Equ., № 46 (3): 498–546. doi: 10.1080/03605302.2020.1845205.
• Esposito, A, Patacchini, F, Schlichting, A, and Slepčev, D. 2021. “Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit.” Arch. Ration. Mech. Anal., № 2021 doi: 10.1007/s00205-021-01631-w.
• Schlichting, André. 2020. “The exchange-driven growth model: basic properties and longtime behavior.” Journal of Nonlinear Science, № 30 (3): 793–830. doi: 10.1007/s00332-019-09592-x.
• Gvalani, RS, and Schlichting, A. 2020. “Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures.” Journal of Functional Analysis, № 279 (11): 108720. doi: 10.1016/j.jfa.2020.108720.
• Erbar, Matthias, Fathi, Max, and Schlichting, André. 2020. “Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.” Latin American Journal of Probability and Mathematical Statistics, № 17 (1): 445–471. doi: 10.30757/alea.v17-18.
• Conlon, JG, and Schlichting, A. 2019. “A non-local problem for the Fokker-Planck equation related to the Becker-Döring model.” Discrete and Continuous Dynamical Systems - Series A, № 39 (4): 1821–1889. doi: 10.3934/dcds.2019079.
• Schlichting, A. 2019. “Macroscopic limit of the Becker-Döring equation via gradient flows.” ESAIM: Control, Optimisation and Calculus of Variations, № 25 (22): 36. doi: 10.1051/cocv/2018011.
• Schlichting, A. 2019. “Poincaré and Log–Sobolev Inequalities for Mixtures.” Entropy, № 21 (1): 89. doi: 10.3390/e21010089.
• Schlichting, A, and Slowik, M. 2019. “Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities.” Annals of Applied Probability, № 29 (6): 3438–3488. doi: 10.1214/19-AAP1484.
• Carrillo, JA, Gvalani, RS, Pavliotis, GA, and Schlichting, A. 2019. “Long-Time Behaviour and Phase Transitions for the McKean-Vlasov Equation on the Torus.” Archive for Rational Mechanics and Analysis, № 235 (1): 635–690. doi: 10.1007/s00205-019-01430-4.
• Duong, MH, Lamacz, A, Peletier, MA, Schlichting, A, and Sharma, U. 2018. “Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics.” Nonlinearity, № 31 (10): 4517–4566. doi: 10.1088/1361-6544/aaced5.
• Eberle, S, Niethammer, B, and Schlichting, A. 2017. “Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation.” Nonlinear Analysis: Theory, Methods and Applications, № 158: 142–167. doi: 10.1016/j.na.2017.04.009.
• Erbar, M, Fathi, M, Laschos, V, and Schlichting, A. 2016. “Gradient flow structure for McKean-Vlasov equations on discrete spaces.” Discrete and Continuous Dynamical Systems - Series A, № 36 (12): 6799–6833. doi: 10.3934/dcds.2016096.
• Menz, G, and Schlichting, A. 2014. “Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape.” Annals of Probability, № 42 (5): 1809–1884. doi: 10.1214/14-AOP908.

Research Articles in Journals (Conferences)

• Conlon, JG, and Schlichting, A. 2018. “A non-local Fokker-Planck equation related to nucleation and coarsening.” in Oberwolfach Reports Interplay Anal. Probab. Appl. Math., edited by V Betz, N Dirr, W König and F Theil. European Mathematical Society Publishing House. doi: 10.4171/OWR/2018/6.

Research Articles in Digital Collections

• Esposito, A, Gvalani, RS, Schlichting, A, and Schmidtchen, M. 2021. “On a novel gradient flow structure for the aggregation equation.” arXiv doi: 10.48550/arXiv.2112.08317.