• Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe (2024)
  Propagation of chaos and residual dependence in Gibbs measures on finite sets.
  Preprint at arxiv.org: Link

• Michael Juhos, Zakhar Kabluchko, Joscha Prochno (2024)
  Asymptotic theory of Schatten classes.
  Preprint at arxiv.org: Link

• Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych, Vitali Wachtel (2024)
  Multinomial random combinatorial structures and r-versions of Stirling, Eulerian and Lah numbers.
  Preprint at arxiv.org: Link

• Gerold Alsmeyer, Alexander Iksanov, Zakhar Kabluchko (2024)
  On decoupled standard random walks.
  Preprint at arxiv.org: Link

• Brian C. Hall, Ching-Wei Ho, Jonas Jalowy, Zakhar Kabluchko (2023)
  Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators.
  Preprint at arxiv: Link

• Matthias Löwe, Zakhar Kabluchko (2023)
  Propagation of chaos in the Random field Curie-Weiss model.
  Preprint at arxiv: Link

• Zakhar Kabluchko and Alexander Marynych (2023)
  Divisibility properties of polynomial expressions of random integers. J. Number Theory, Vol. 259, pages 357-377, 2024.  
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Brian C. Hall, Ching-Wei Ho, Jonas Jalowy, Zakhar Kabluchko (2023)
  Zeros of random polynomials undergoing the heat flow.
  Preprint at arxiv.org: Link

• Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe, Alexander Marynych (2023)
  When does the chaos in the Curie-Weiss model stop to propagate?  Elect. J. Probab., 28 (2023), article no. 139, 1–17. 
  Preprintz at arxiv.org: Link
  Publisher' homepage: Link

• Kabluchko, Z.,  Marynych, A., Raschel, K. (2023)
  Random walks in the high-dimensional limit II: The crinkled subordinator. Stochj. Proc. Appl., Vol. 176, October 2024, 104428.
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Hall, B.,  Ho, C.-W., Jalowy, J., Kabluchko, Z. (2023)
  The heat flow, GAF, and SL(2;R). Indiana Univ. Math. Journal, accepted. 
  Preprint at arxiv: Link

• Kabluchko, Z., Rosen, D. and Thäle, C. (2023)
  A quantitative central limit theorem for Poisson horospheres in high dimensions. Electron. Commun. Probab. 29: 1-11 (2024). 
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Kabluchko, Z., Prochno, J., and  Sonnleitner, M.  (2023)
  A probabilistic approach to Lorentz balls.  J. of Funct. Analysis, Vol. 288(1), 110682.
  Preprint at arxiv: Link
  Publisher's homapege: Link

• Kabluchko, Z. and Marynych, O.  and Raschel, K. (2023)
  Multivariate multiplicative functions of uniform random vectors in large integer domains. Results in Math., 78, Article number: 201, 2023.
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Gusakova, A., Kabluchko, Z., Thäle. C.  (2023)
  Sectional Voronoi tessellations: Characterization and high-dimensional limits. Bernoulli, 30(2): 1482-1501, 2024.  
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Steigenberger, D. A. (2022)
  r-Lah distribution: properties, limit theorems and an application to compressed sensing.  Adv. in Appl. Math., Vol. 150, 2023, 102575.
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Iksanov, A., Kabluchko, Z., Kotelnikova, V. (2022)
  A law of the iterated logarithm for iterated random walks, with application to random recursive trees.
  Preprint at arxiv: Link

• Kabluchko, Z., and Marynych, A. (2022)
  Random Walks in the High-Dimensional Limit, I.  Ann. Inst. H. Poincare, accepted. 
  Preprint at arxiv: Link

• Juhos, M., Kabluchko, Z., Prochno, J. (2022)
  Limit theorems for mixed-norm sequence spaces with applications to volume distribution. Electron. J. Probab. 29: 1-44 (2024). 
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Kabluchko, Z., Marynych, A., Pitters, H. (2022)
  Mod-$\varphi$ convergence of Stirling distributions and limit theorems for zeros of their generating functions. J. Math. Anal. Appl., Vol. 529(1), 2024, 127571.
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Kabluchko, Z., Rosen, D,. Thäle, C.  (2022)
  Fluctuations of λ-geodesic Poisson hyperplanes in hyperbolic space.  Israel J. Math., accepted. 
  Preprint at arxiv: Link

• Kabluchko, Z. (2022)
  Lee-Yang zeroes of the Curie-Weiss ferromagnet, unitary Hermite polynomials, and the backward heat flow.
  Preprint at arxiv: Link

• Kabluchko, Z., Marynych, A., Molchanov, I. (2022)
  Generalised convexity with respect to families of affine maps. Israel J. Math., accepted. 
  Preprint at arxiv: Link

• Kabluchko, Z. (2021)
  Repeated differentiation and free unitary Poisson process.
  Preprint at arxiv: Link

• Kabluchko, Z. and Prochno, J. (2021)
  Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions. Ann. Inst. H. Poincare, 60(2): 990-1024. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2021)
  Face numbers of high-dimensional Poisson zero cells. Proc. AMS, 151, pp. 401-415, 2023. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T., Kabluchko, Z., Thäle, C. (2021)
  Beta-star polytopes and hyperbolic stochastic geometry. Advances in Math., Vol. 404(A), 108382, 2022. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Gusakova, A., Kabluchko, Z., Thäle, C. (2021)
  The $\beta$-Delaunay tessellation IV: Mixing properties and central limit theorems. Stochastics and Dynamics, Vol. 23, No. 03, 2350021 (2023). 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2021)
  On expected face numbers of random beta and beta' polytopes. Contrib. Alg. and Geom.,  64: 155–174, 2023. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T., Kabluchko, Z., Thäle, C. (2021)
  Random cones in high dimensions II: Weyl cones. Mathematika, 68(3), pp. 710-737, 2022. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko,  Z. and Marynych, A. (2021)
  Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Probab. Theory and  Rel. Fields, 184, pp. 969-1028, 2022.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Gusakova, A., Kabluchko, Z., Thäle, C. (2021)
  The $\beta$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions. ALEA, 19(2022), 23-50. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Iksanov, A., Kabluchko, Z., Kotelnikova, V. (2021)
  A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions. J. Math. Anal. Appl., Volume 507(2), 2022, 125798
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T. and Kabluchko, Z. (2021)
  Positive hulls of random walks and bridges. Stoch. Proc. and Appl., Vol. 147, pp. 327-362, 2022.  
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Johnston, S. G. G.,  Kabluchko, Z., Prochno, J. (2021) 
  Projections of the uniform distribution on the cube - a large deviation perspective. Studia Math., 264 (2022), 103-119. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Gusakova, A., Kabluchko, Z., Thäle, C. (2021)
  The β-Delaunay tessellation II: The Gaussian limit tessellation. Elect. J. Probab.,  27: 1-33 (2022). 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Löwe, M,. Schubert, K. (2020)
  Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs - the regimes of low temperature and external magnetic field. ALEA, 19(2022), 537-563. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T., Kabluchko, Z.,  Thäle, C. (2020)
  Random cones in high dimensions I: Donoho-Tanner and Cover-Efron cones. Discrete Analysis, 2020:5. 
  Preprint at arxiv.org:  Link (This is the final version of the article)
  Publisher's homepage: Link

• Aistleitner, C., Gantert, N., Kabluchko, Z., Prochno, J., Ramanan, K. (2020)
  Large deviation principles for lacunary sums. Trans. Amer. Math. Soc., 376(1), pages 507–553, 2023.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Hoskins, J., Kabluchko, Z. (2020)
  Dynamics of zeroes under repeated differentiation. Experimental Math., Vol. 32(4), pp. 573-599, 2023.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T., Kabluchko, Z. (2020)
  Projections and angle sums of belt polytopes and permutohedra. Results in Math.,  78, Article number 140, 2023. 
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2020)
  An identity for the coefficients of characteristic polynomials of hyperplane arrangements. Discr. and Comput. Geometry, Vol. 70, p. 1476-1498, (2023). 
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Kabluchko, Z. and Prochno, J. (2020)
  The maximum entropy principle and volumetric properties of Orlicz balls. J. Math. Anal. Appl., Vol. 495(1), 124687, 2021.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T., Kabluchko, Z., Zaporozhets, D. (2020)
  Angle sums of random polytopes. Michigan Math. J., 73(4), pp. 815-842, 2023. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T., Kabluchko, Z. (2020)
  Angle sums of Schläfli orthoschemes. Discr. and Comput. Geometry, 68(1), pp. 125–164 (2022).
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Seidel, H. (2020)
  Convex cones spanned by regular polytopes. Adv. in Geom., 22(2), pp. 245-267, 2022. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Gusakova, A., Kabluchko, Z., and Thäle, C. (2020)
  The β-Delaunay tessellation I: Description of the model and geometry of typical cells. Adv. Appl. Probab.,  54(4),  pp. 1252 - 1290, (2022). 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T. and Kabluchko, Z. (2020)
  Conic intrinsic volumes of Weyl chambers. Modern Stochastics, Vol. 9(3), pp. 357–375, 2022.  
  Preprint at arxiv: Link 
  Publisher's homepage: Link

• Baci, A., Kabluchko, Z., Prochno, J., Sonnleitner, M.,  Thäle, C. (2020)
  Limit theorems for random points in a simplex. J. Appl. Probab., 59(3), pp. 685 - 701, 2022. 
  Preprint at arxiv: Link
  Publisher's homepage: Link

• Kabluchko, Z., Thäle, C. (2020)
  Faces in random great hypersphere tessellations. Elect. J. Probab., Vol. 26 (2021), paper no. 3. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Godland, T. and Kabluchko, Z. (2020)
  Conical tessellations associated with Weyl chambers. Trans. Amer. Math. Soc., 374(10), pp. 7161–7196 (2021).  
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Temesvari, D., Thäle, C. (2020)
  A new approach to weak convergence of random cones and polytopes. Canad. J. Math.,  73 (6),  pp. 1627-1647, 2021.  
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Löwe, M., Schubert, K. (2020)
  Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. Ann. Inst. H. Poincare, 57(4): 2017-2042. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Bonnet, G., Kabluchko, Z., Turchi, N. (2019)
  Phase transition for the volume of high-dimensional random polytopes. Rand. Struct. Algor., Vol. 58(4), pp. 648-663, 2021. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Löwe, M., Schubert, K.  (2019)
  Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs - the regimes of small $p$ and the critical temperature. J. Phys A. Math. Theor., Vol. 53, 355004.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Thäle, C. (2019)
  The typical cell of a Voronoi tessellation on the sphere. Discr. and Comput. Geometry, 66(2021), 1330-1350 . 
  Preprint at arxiv.org:  Link
  Publisher's homepage: Link

• Götze, F., Kabluchko, Z., Zaporozhets, D. (2019)
  Grassmann angles and absorption probabilities of Gaussian convex hulls. Zap. Nauchn. Sem. POMI, 501, pp. 126-148, 2021. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Prochno, J., and Thäle, C. (2019)
  A new look at random projections of the cube and general product measures. Bernoulli, 27(3), pp. 2117-2138, 2021.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2019)
  Angles of random simplices and face numbers of random polytopes. Advances in Math., Vol. 380, 107612, 2021.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Alsmeyer, G., Kabluchko, Z., Marynych, A., Vysotsky, V. (2019)
  How long is the convex minorant of a one-dimensional random walk? Elect. J. Probab., Vol. 25 (2020), paper no. 105.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2019)
  Recursive scheme for angles of random simplices, and applications to random polytopes. Discr. and Comp. Geometry,  Vol. 66, 902-937 (2021).
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Löwe, M., Schubert, K. (2019)
  Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. J. Stat. Phys., 177(1), pp. 78–94, 2019.
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z. (2019)
  Angle sums of random simplices in dimensions 3 and 4. Proc. Amer. Math. Soc., 148(7),  pp. 3079–3086, 2020. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Prochno, J., and Thäle, C. (2019) 
  High-dimensional limit theorems for random vectors in l_p^n-balls. II.  Comm. in Contemp. Math., Vol. 23(03), 1950073 (2021).
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Alonso-Gutierrez, D.,  Besau, F.,  Grote, J.,  Kabluchko, Z., Reitzner, M., Thäle, C.,  Vritsiou, B.-H.,  Werner, E. (2019)
  Asymptotic normality for random simplices and convex bodies in high dimensions.  Proc. Amer. Math. Soc., 149 (2021), 355-367.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. and Wigman, I. (2019)
  Asymptotics for the expected number of nodal components for random lemniscates. Internat. Math. Res. Notices, , Vol. 2022 (3), pp. 2337-2375.  
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2019)
  Expected $f$-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Mathematika, Vol. 66(4), pp. 1028-1053, 2020. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2018)
  An infinite-dimensional helix invariant under spherical projections. Elect. Comm.  Probab., 24, no. 25, 1-13, 2019.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Zaporozhets, D. (2018)
  Angles of the Gaussian simplex.  Zap. Nauchn. Sem. POMI, 476, pp. 79-91, 2018. 
  Preprint at arxiv.org: Link
  Publisher's homepage (J. Math. Sci.): Link
  Publisher's homepage (Zap. Nauchn. Sem. POMI): Link

• Götze, F., Gusakova, A., Kabluchko, Z., Zaporozhets, D. (2018)
  Distribution of complex algebraic numbers on the unit circle. Zap. Nauchn. Sem. POMI, 474, pp. 90-107, 2018. 
  Preprint at arxiv.org: Link
  Publisher's homepage (Zap. Nauchn. Sem. POMI): Link

• Kabluchko, Z., Prochno, J.,  Vysotsky V. (2018)
  Yet another note on the arithmetic-geometric mean inequality. Studia Math., 253, pp. 39-55, 2020.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Prochno, J., and Thäle, C. (2018)
  Sanov-type large deviations in Schatten classes. Ann. Inst. H. Poincare, Vol. 56(2), pp. 928-953, 2020. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Seidel, H. (2018)
  Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Elect. J. Probab., 24(2019), paper 34. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link 

• Iksanov, A.,   Kabluchko, Z. (2018) 
  Weak convergence of the number of vertices at intermediate levels of random recursive trees. J. Appl. Probab.,  55(4), pp. 1131-1142. 
  Preprint at arxiv.org:  Link
  Publisher's homepage: Link

• Kabluchko, Z., Thäle, C., and Zaporozhets, D. (2018)
  Beta polytopes and Poisson polyhedra: f-vectors and angles. Advances in Math., Vol. 374, 18 November 2020, 107333. 
  Preprint auf arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Prochno, J., and Thäle, C. (2018)
  Exact asymptotic volume and volume ratio of Schatten unit balls. J. Approx. Theory, Vol. 257, 105457, September 2020. 
  Preprint auf arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Prochno, J., and Thäle, C. (2018)
  Intersection of unit balls in classical matrix ensembles. Israel J. Math.,  239, 129–172 (2020). 
  Preprint auf arxiv.org: Link
  Publisher's homepage: Link

• Flasche, H.,   Kabluchko, Z. (2018) 
  Real zeros of random analytic functions associated with geometries of constant curvature.  J. Theor. Probab., 33(1), 103-133, 2020. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Alsmeyer, G.,  Kabluchko, Z.,  Marynych, A. (2018) 
  Limit theorems for the least common multiple of a random set of integers. Trans. Amer. Math. Soc., 372(7), pp. 4585–4603, 2019.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Marynych, A., Temesvari, D., Thäle, C. (2018) 
  Cones generated by random points on half-spheres and convex hulls of Poisson point processes.  Probab. Theory and Rel. Fields, 175, pp. 1021–1061, 2019.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Iksanov, A.,   Kabluchko, Z. (2018) 
  A functional limit theorem for the profile of random recursive trees. Elect. Comm. Probab., 23(2018), no. 87, 1–13.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Tent, K. (2017) 
  On weak Fraïssé limits.
  Preprint at arxiv.org: Link

• Kabluchko, Z., Tent, K. (2017) 
  Universal-homogeneous structures are generic.
  Preprint at arxiv.org: Link

• Kabluchko, Z., Prochno, J., and Thäle, C. (2017) 
  High-dimensional limit theorems for random vectors in l_p^n-balls. Comm. in Contemp. Math.,  Vol. 21, No. 01, 1750092 (2019).
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Flasche, H.,   Kabluchko, Z. (2017) 
  Expected number of real zeros of random Taylor series.  Comm.  in Contemp. Math., Vol. 22, No. 07, 1950059 (2020).
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z.,   Lifshits, M. (2017) 
  Adaptive energy saving approximation for stationary processes.  Russian version:  Izvestiya RAN (Ser. Mat.) 83(5), pp. 27–52, 2019. English version: Izvestiya Mathematics, 83(5), pp. 932–956, 2019.
  Preprint at arxiv.org: Link 
  Publisher's homepage (Russian version): Link
  Publisher's homepage (English version): Link

• Grote, J., Kabluchko, Z., and Thäle, C. (2017)
  Limit theorems for random simplices in high dimensions. ALEA, 16(2019), 141-177. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Temesvari, D. and Thäle, C. (2017)
  Expected intrinsic volumes and facet numbers of random beta-polytopes. Math. Nachr., 292(1), pp. 79-105, 2019. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link
  Mathematica notebooks: Beta-Polytopes     Beta'-Polytopes

• Kabluchko, Z.,  Zaporozhets, D. (2017) 
  Expected volumes of Gaussian polytopes, external angles, and multiple order statistics.  Trans. Amer. Math. Soc., 372(3), 1709-1733, 2019. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z.,  Zaporozhets, D. (2017) 
  Absorption probabilities for Gaussian polytopes, and regular spherical simplices.   Adv. Appl. Probab., Vol. 52(2), pp. 588-616, June 2020.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z.,   Thäle, C. (2017) 
  Monotonicity of expected f-vectors for projections of regular polytopes. Proc. Amer. Math. Soc., 146(3), pp. 1295–1303, 2018.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Hug, D.,   Kabluchko, Z. (2016) 
  An inclusion-exclusion identity for normal cones of polyhedral sets. Mathematika, 64 (2018), 124-136.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Iksanov, A.,   Kabluchko, Z. (2016) 
  Functional limit theorems for Galton-Watson processes with very active immigration. Stoch. Proc. Appl., Volume 128(1), Pp. 291-305, 2018. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z.,  Vysotsky, V.,   Zaporozhets, D. (2016) 
  Convex hulls of random walks: Expected number of faces and face probabilities. Advances in Math., Vol. 320(7), pp. 595-629, 2017.
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Ibragimov, I.,  Kabluchko, Z.,   Lifshits, M. (2016) 
  Some extensions of linear approximation and prediction problems for stationary processes. Stoch. Proc. Appl., Vol 129(8), pp. 2758-2782, 2019. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z.,  Vysotsky, V.,   Zaporozhets, D. (2016) 
  A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Bernoulli, Vol. 25(1), pp. 521-548, 2019.
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z.,   Marynych, A.,   Sulzbach, H. (2016)
  Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. J. Integer Sequences, 19 (2016), Article 16.8.8. 
  Preprint at arxiv.org: Link 
  Mathematica notebook: Download the notebook     The same as PDF 
  Publisher's homepage: Link

• Alsmeyer, G.,  Kabluchko, Z.,  Marynych, A. (2016) 
  Leader election using random walks. ALEA, 13(2016), 1095-1122. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z.,   Marynych, A.,   Sulzbach, H. (2016)
  General Edgeworth expansions with applications to profiles of random trees. Ann. Appl. Probab., 27(6), pp. 3478-3524, 2017. 
  Preprint at arxiv.org (extended version): Link 
  Publisher's homepage: Link

• Kabluchko, Z.,   Marynych, A. (2016)
  Renewal shot noise processes in the case of slowly varying tails. Theor. Stoch. Proc., Vol.21 (37), no.2, pp.14-21, 2016. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z.,  Last, G.,  Zaporozhets, D. (2016)
  Inclusion-exclusion principles for convex hulls and the Euler relation. Discr. and Comp. Geometry, 58(2), p. 417-434, 2017. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Iksanov, A.,   Kabluchko, Z.   Marynych, A.   Shevchenko, G. (2016)
  Fractionally integrated inverse stable subordinators. Stoch. Proc. Appl., 127(1), pp. 80-106, 2017.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Iksanov, A., Kabluchko, Z.,  Marynych, A. (2016)
  Local universality for real roots of random trigonometric polynomials. Elect. J. Probab., Vol. 21 (2016), paper no. 63. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Dombry, C., Kabluchko, Z. (2016)
  Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Stoch. Proc. Appl., 127(6), pp. 1763-1784, 2017. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link 

• Alsmeyer, G.,  Kabluchko, Z.,  Marynych, A. (2015) 
  A leader-election procedure using records. Ann. Probab., 45(6B), pp. 4348-4388, 2017. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z.,  Litvak, A. E.,   Zaporozhets, D. (2015) 
  Mean width of regular polytopes and expected maxima of correlated Gaussian variables.   Zap. Nauchn. Sem. POMI, 442, pp. 75-96, 2015, and J. of Math. Sci., 225(5), pp. 770-787, 2017. 
  Preprint at arxiv.org: Link 
  Publisher's homepage (Zap. Nauchn. Sem. POMI): Link  
  Publisher's homepage (J. of Math. Sci.): Link 

• Kabluchko, Z.,  Vysotsky, V.,   Zaporozhets, D. (2015) 
  Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Geom. Funct. Anal., 27(4), p. 880-918, 2017. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link 

• Engelke, S.,  Kabluchko, Z. (2015) 
  A characterization of the normal distribution using stationary max-stable processes. Extremes, 19(2016), pp 1-6.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Iksanov, A.,  Kabluchko, Z. (2015) 
  A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. J. Appl. Probab., Volume 53(4), pp. 1178-1192, 2016.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Iksanov, A.,  Kabluchko, Z.,   Marynych, A. (2015) 
  Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Statist. Probab. Letters, 114 (2016), pp. 67-77.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Grübel, R., Kabluchko, Z. (2015)
  Edgeworth expansions for profiles of lattice branching random walks. Ann. Inst. H. Poincare, 53(4), pp. 2103-2134, 2017.  
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z.,  Lifshits, M. (2015)
  Least energy approximation for processes with stationary increments. J. Theor. Probab., 30(1), pp 268-296, 2017. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Engelke, S., Kabluchko, Z. (2014)
  Max-stable processes and stationary systems of independent Lévy particles. Stoch. Proc. Appl., 125, p.4272-4299, 2015. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Dombry, C., Kabluchko, Z. (2014)
  Random tessellations associated with max-stable random fields. Bernoulli, 24(1), p. 30-52, 2018. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Grübel, R., Kabluchko, Z. (2014) 
  A functional central limit theorem for branching random walks, almost sure weak convergence, and applications to random trees. Ann. Appl. Probab., 26(6), pp. 3659-3698, 2016.    
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z., Zaporozhets, D. (2014) 
  Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Trans. Amer. Math. Soc., 368 (2016), pp. 8873-8899.  
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z., Klimovsky, A. (2014)
  Generalized Random Energy Model at complex temperatures. 109 pages. Submitted.
  Preprint at arxiv.org: Link

• Kabluchko, Z., Wang, Y. (2012)
  Limiting distribution for the maximal standardized increment of a random walk. Stoch. Proc. Appl., 124(9), p.2824-2867, 2014.  
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Engelke, S., Malinowski, A., Kabluchko, Z., Schlather, M. (2012)
  Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. J. Royal Statist. Soc. B., 77(1), p. 239-265, 2015. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z., Stoev, S. (2012)
  Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Bernoulli, 22(1), p. 107-142, 2016. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z. (2012)
  Critical points of random polynomials with independent identically 
  distributed roots. Proc. Amer. Math. Soc., 143 (2015), 695-702.  
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Zaporozhets, D., Kabluchko, Z.  (2012)
  Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zap. Nauchn. Sem. POMI 408, p.187-196, 2012 (Russian version) or Journal of Math. Sci. 199(2), p.168-173, 2014 (English version). 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link (Russian version) or Link (English version). 

• Kabluchko, Z., Zaporozhets, D. (2012) 
  Asymptotic distribution of complex zeros of random analytic functions. Ann. Probab., 42(4), p.1374-1395, 2014. 
  Preprint at arxiv.org (new, short version): Link 
  Preprint at arxiv.org (old, long version): Link 
  Publisher's homepage (short version): Link

• Engelke, S., Kabluchko, Z., Schlather, M. (2012).
  Maxima of independent, non-identically distributed Gaussian vectors. Bernoulli, 21(1), p. 38-61, 2015. 
  Preprint at arxiv.org: Link 
  Publisher's homepage: Link

• Kabluchko, Z., Klimovsky, A. (2012).
  Complex random energy model: Zeros and fluctuations. Probab. Th. Related Fields., 158 (2014), pp. 159-196.
  Publisher's homepage: Link
  Preprint at arxiv.org: Link

• Kabluchko, Z., Zaporozhets, D. (2011).
  Roots of random polynomials whose coefficients have logarithmic tails. Ann. Probab., 41(5), 2013, pp. 3542-3581.
  Publisher's homepage: Link
  Preprint at arxiv.org: Link

• Kabluchko, Z. (2011).
  Persistence and equilibria of branching populations with exponential intensity. J. Appl. Probab., 49(1), p. 226-244, 2012. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Padoan, S.A. (2010).
  Maxima of bivariate random vectors with strongly dependent Cauchy marginals. Unpublished.

• Kabluchko, Z. (2010).
  The maximum of the Gaussian 1/f^alpha-noise in the case alpha<1. Unpublished.
  Preprint at arxiv.org: Link

• Engelke, S., Kabluchko, Z., Schlather, M. (2010).
  An equivalent representation of the Brown-Resnick process. Statist. Probab. Letters, 81, p. 1150-1154, 2011.
  Publisher's homepage: Link

• Kabluchko, Z. (2011).
  Extremes of the standardized Gaussian noise. Stoch. Processes. Appl. 121(3) p. 515-533. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Hashorva, E., Kabluchko, Z., Wübker, A. (2010).
  Extremes of independent chi-square random vectors. Extremes 15(1) p. 35-42.
  Publisher's homepage: Link

• Kabluchko, Z. (2010).
  Distribution of levels in high-dimensional random landscapes. Ann. Appl. Probab. 22(1) p. 337-362.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2010).
  Functional limit theorems for sums of independent geometric Lévy processes. Bernoulli 17(3) p. 942-968.
  Preprint at arxiv. org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2010).
  Limit laws for sums of independent random products: the lattice case.  J. Theor. Probab. 25(2), p. 424-437
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2009).
  Extremes of independent Gaussian processes. Extremes 14(3) p. 285-310. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Schlather, M. (2010).
  Ergodic properties of max-infinitely divisible processes. Stoch. Processes Appl., 120, 281-295. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2009).
  Limiting distributions for sums of independent random products. Not published.
  Preprint at arxiv.org: Link

• Kabluchko, Z. (2010).
  Stationary systems of Gaussian processes. Ann. Appl. Probab., 20(6), 2295-2317.
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Oesting, M., Kabluchko, Z. und Schlather, M. (2012).
  Simulation of Brown-Resnick processes. Extremes, 15(1), 89-107.
  Publisher's homepage: Link

• Hotz, T., Marnitz, P., Stichtenoth, R., Davies, L., Kabluchko, Z. and Munk, A. (2009). Locally adaptive image denoising by a statistical multiresolution criterion. Comput. Stat. Data Analysis, 56(3) p. 543-558, 2012. 
  Publisher's homepage: Link
  Preprint at arxiv.org: Link

• Wübker, A., Kabluchko, Z. (2009).
  L2-spectral gaps, weak-reversible and very weak-reversible Markov chains.
  Preprint at arxiv.org: Link

• Ballani, F., Kabluchko, Z., Schlather, M. (2009, appeared 2012).
  Random marked sets.  Adv. Appl. Probab., 44(3), 603-616.
  Preprint at arxiv. org: Link
  Publisher's homepage: Link

• Kabluchko, Z. (2009).
  Extremes of space-time Gaussian processes Stoch. Processes Appl., 119, 3962-3980.
  Publisher's homepage: Link

• Kabluchko, Z., Spodarev, E. (2009).
  Scan statistic of Lévy noises and marked empirical processes. Adv. Appl. Probab., 41, 013-037.
  Publisher's homepage: Link

• Kabluchko, Z. (2009).
  Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Statist. Probab. Lett., 79, 953-956.
  Publisher's homepage: Link

• Kabluchko, Z. (2009).
  Spectral representations of sum- and max-stable processes. Extremes, 12, 401-424.
  Publisher's homepage: Link

• Kabluchko, Z., Schlather, M., de Haan, L. (2009).
  Stationary max-stable fields associated to negative definite functions. Ann. Probab. 37, 2042-2065. 
  Preprint at arxiv.org: Link
  Publisher's homepage: Link

• Kabluchko, Z., Munk, A. (2009).
  Shao's theorem on the maximum of standardized random walk increments for multidimensional arrays. ESAIM Probab. Stat. 13, 409-416. 
  Publisher's homepage: Link

• Kabluchko, Z., Munk, A. (2008).
  Exact convergence rate for the maximum of standardized Gaussian increments. Elect. Comm. Probab., 13, 302-310.
  Publisher's homepage: Link

• Kabluchko, Z. (2007).
  Extreme-value analysis of standardized Gaussian increments. Not published. 
  Preprint at arxiv.org: Link
  Erratum (21.06.2021): The numerical value of the constant $H$ given on page 32 is incorrect by a factor of 4. We thank Piotr Fryzlewicz for pointing this out. Numerical computations suggest that H is contained between 0.855 and 0.860.  

• Denker, M., Kabluchko, Z. (2007).
  An Erdös-Rényi law for mixing processes. Probab. Math. Stat., 27, 139-149.
  Publisher's homepage: Link

• Kabluchko, Z., Proskurin, D., Samojlenko, Y. (2004).
  On C*-algebras generated by deformations of the CCR. Ukr. Math. J., 56, 1813-1827.
  Publisher's homepage: Link

• Kim, C. S., Proskurin, D., Iksanov, A., Kabluchko, Z. (2003). 
  The generalized CCR: representations and enveloping C*-algebra. Rev. Math. Phys., 15, 313-338.
  Publisher's homepage: Link

• Kabluchko, Z. (2001). 
  On an extension of higher-dimensional noncommutative tori.
  Meth. Func. Anal. Topol., 7, 28-33. 
  Publisher's homepage: Link
  Download the PDF of the paper: Link

Theses

• PhD Thesis. Kabluchko, Z. (2007). 
  Extreme-Value Analysis of Self-Normalized Increments. Available at the homepage of the University of Göttingen: Link

• Diploma Thesis. Kabluchko, Z. (2004).
  Stochastische Löwner-Evolution. University of Göttingen. 

Reviews

• Reviews of my papers at MathSciNet: Link
  Reviews I have written for MathSciNet: Link

• Zentralblatt MATH: Link