• 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.
  Preprint at arxiv: 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.
  Preprint at arxiv: Link

• Kabluchko, Z., Prochno, J., and  Sonnleitner, M.  (2023)
  A probabilistic approach to Lorentz balls.
  Preprint at arxiv: 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.
  Preprint at arxiv: 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, accepted. 
  Preprint at arxiv.org: 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