Edit Profile (opens in new tab) Kabluchko, Zakhar A. Co-Author Distance Author ID: kabluchko.zakhar-a Published as: Kabluchko, Zakhar; Kabluchko, Z.; Kabluchko, Zakhar A.; Kabluchko, Z. A. more...less Homepage: https://www.uni-muenster.de/Stochastik/Arbeitsgruppen/Kabluchko/ External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · GND Documents Indexed: 154 Publications since 2001, including 24 Additional arXiv Preprints Reviewing Activity: 99 Reviews Co-Authors: 74 Co-Authors with 129 Joint Publications 1,817 Co-Co-Authors all top 5 Co-Authors 25 single-authored 26 Thäle, Christoph 19 Marynych, Alexander V. 17 Zaporozhets, Dmitry 15 Prochno, Joscha 12 Iksanov, Aleksander M. 9 Godland, Thomas 7 Schlather, Martin 6 Gusakova, Anna Grigorevna 6 Löwe, Matthias 5 Alsmeyer, Gerold 5 Engelke, Sebastian 5 Vysotsky, Vladislav V. 4 Jalowy, Jonas 4 Schubert, Kristina 3 Hall, Brian C. 3 Ho, Ching Wei 3 Lifshits, Mikhail A. 3 Munk, Axel 3 Temesvari, Daniel 2 Dombry, Clément 2 Flasche, Hendrik 2 Götze, Friedrich 2 Grote, Julian 2 Grübel, Rudolf 2 Juhos, Michael L. 2 Klimovsky, Anton 2 Kotelnikova, Valeriya 2 Proskurin, Daniil P. 2 Rosen, Daniel 2 Seidel, Hauke 2 Sonnleitner, Mathias 2 Sulzbach, Henning 2 Tent, Katrin 2 Wigman, Igor 2 Wübker, Achim 1 Aistleitner, Christoph 1 Alonso-Gutiérrez, David 1 Baci, Anastas 1 Ballani, Felix 1 Besau, Florian 1 Bonnet, Gilles 1 Davies, Patrick Laurie 1 de Haan, Laurens 1 Denker, Manfred 1 Gantert, Nina 1 Hashorva, Enkelejd 1 Hoskins, Jeremy G. 1 Hotz, Thomas 1 Hug, Daniel 1 Ibragimov, Il’dar Abdullovich 1 Johnston, Samuel G. G. 1 Kim, Chesoong 1 Last, Günter 1 Litvak, Aleksandr Evgen’evich 1 Malinowski, Alexander 1 Marnitz, Philipp 1 Molchanov, Ilya S. 1 Oesting, Marco 1 Pitters, Helmut H. 1 Ramanan, Kavita 1 Raschel, Kilian 1 Reitzner, Matthias 1 Samoĭlenko, Yuriĭ Stefanovych 1 Sartori, Andrea 1 Shevchenko, Georgiy M. 1 Spodarev, Evgueni 1 Steigenberger, David Albert 1 Stichtenoth, Rahel 1 Stoev, Stilian A. 1 Turchi, Nicola 1 Vritsiou, Beatrice-Helen 1 Wachtel, Vitali I. 1 Wang, Yizao 1 Werner, Elisabeth M. all top 5 Serials 10 Stochastic Processes and their Applications 7 Electronic Journal of Probability 7 Bernoulli 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Discrete & Computational Geometry 5 Journal of Mathematical Sciences (New York) 5 Extremes 4 Advances in Applied Probability 4 Advances in Mathematics 4 The Annals of Probability 4 Journal of Applied Probability 4 The Annals of Applied Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Journal of Mathematical Analysis and Applications 3 Mathematika 3 Statistics & Probability Letters 3 Probability Theory and Related Fields 3 Journal of Theoretical Probability 3 Electronic Communications in Probability 3 Communications in Contemporary Mathematics 2 Studia Mathematica 2 Results in Mathematics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Canadian Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Advances in Applied Mathematics 1 Probability and Mathematical Statistics 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Computational Statistics and Data Analysis 1 Experimental Mathematics 1 Izvestiya: Mathematics 1 Methods of Functional Analysis and Topology 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Journal of Integer Sequences 1 Advances in Geometry 1 Theory of Stochastic Processes 1 Stochastics and Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Modern Stochastics. Theory and Applications 1 Discrete Analysis all top 5 Fields 141 Probability theory and stochastic processes (60-XX) 57 Convex and discrete geometry (52-XX) 18 Functional analysis (46-XX) 16 Functions of a complex variable (30-XX) 14 Number theory (11-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Geometry (51-XX) 7 Combinatorics (05-XX) 6 Real functions (26-XX) 4 Partial differential equations (35-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 114 Publications have been cited 1,174 times in 592 Documents Cited by ▼ Year ▼ Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051 Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 150 2009 Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008 Kabluchko, Zakhar; Zaporozhets, Dmitry 44 2014 Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038 Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin 37 2015 Spectral representations of sum- and max-stable processes. Zbl 1224.60120 Kabluchko, Zakhar 36 2009 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 33 2019 Simulation of Brown-Resnick processes. Zbl 1329.60157 Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin 31 2012 Limit theorems for random simplices in high dimensions. Zbl 1456.52006 Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph 31 2019 Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003 Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 29 2019 Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009 Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 29 2017 Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Zbl 1428.52007 Kabluchko, Zakhar; Marynych, Alexander; Temesvari, Daniel; Thäle, Christoph 29 2019 Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101 Kabluchko, Zakhar; Schlather, Martin 25 2010 Extremes of independent Gaussian processes. Zbl 1329.60152 Kabluchko, Zakhar 25 2011 Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008 Kabluchko, Zakhar 23 2015 Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005 Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry 23 2020 Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065 Kabluchko, Zakhar; Stoev, Stilian 21 2016 Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056 Dombry, Clément; Kabluchko, Zakhar 20 2017 Extremes of the standardized Gaussian noise. Zbl 1225.60084 Kabluchko, Zakhar 19 2011 Sanov-type large deviations in Schatten classes. Zbl 1445.60012 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 17 2020 Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009 Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 15 2016 Extremes of independent chi-square random vectors. Zbl 1329.60028 Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim 15 2012 Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007 Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 14 2017 An equivalent representation of the Brown-Resnick process. Zbl 1234.60056 Engelke, S.; Kabluchko, Z.; Schlather, M. 13 2011 Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075 Grübel, Rudolf; Kabluchko, Zakhar 13 2017 An Erdős-Rényi law for mixing processes. Zbl 1125.60023 Denker, Manfred; Kabluchko, Zakhar 13 2007 Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 13 2019 Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116 Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel 12 2012 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 12 2021 Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006 Kabluchko, Zakhar 12 2021 Expected \(f\)-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Zbl 1530.52008 Kabluchko, Zakhar 12 2020 Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 12 2019 Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036 Kabluchko, Zakhar 11 2012 General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068 Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 11 2017 Complex random energy model: zeros and fluctuations. Zbl 1292.60052 Kabluchko, Zakhar; Klimovsky, Anton 11 2014 Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073 Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin 11 2015 Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074 Kabluchko, Zakhar; Wang, Yizao 11 2014 Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025 Kabluchko, Zakhar; Zaporozhets, Dmitry 11 2016 The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007 Kabluchko, Zakhar; Prochno, Joscha 10 2021 A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. Zbl 1356.60055 Iksanov, Alexander; Kabluchko, Zakhar 10 2016 Random tessellations associated with max-stable random fields. Zbl 1388.60092 Dombry, Clément; Kabluchko, Zakhar 9 2018 Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030 Kabluchko, Zakhar; Zaporozhets, Dmitry 9 2020 Fractionally integrated inverse stable subordinators. Zbl 1353.60032 Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy 9 2017 Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063 Kabluchko, Zakhar; Munk, Axel 9 2008 Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006 Kabluchko, Zakhar 8 2020 The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030 Kabluchko, Zakhar; Thäle, Christoph 8 2021 Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019 Kabluchko, Zakhar; Zaporozhets, Dmitry 8 2013 Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 8 2020 Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003 Kabluchko, Zakhar; Seidel, Hauke 8 2019 Phase transition for the volume of high-dimensional random polytopes. Zbl 1529.60020 Bonnet, Gilles; Kabluchko, Zakhar; Turchi, Nicola 8 2021 Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2020 Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014 Kabluchko, Zakhar; Munk, Axel 7 2009 Stationary systems of Gaussian processes. Zbl 1230.60054 Kabluchko, Zakhar 7 2010 A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028 Grübel, Rudolf; Kabluchko, Zakhar 7 2016 Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038 Zaporozhets, D.; Kabluchko, Z. 7 2014 Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010 Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D. 7 2017 Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065 Engelke, Sebastian; Kabluchko, Zakhar 6 2015 A new look at random projections of the cube and general product measures. Zbl 1473.60063 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 6 2021 Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010 Kabluchko, Zakhar 6 2021 Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017 Kabluchko, Zakhar; Zaporozhets, Dmitry 6 2019 Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010 Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry 5 2017 Least energy approximation for processes with stationary increments. Zbl 1419.60030 Kabluchko, Zakhar; Lifshits, Mikhail 5 2017 On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050 Kabluchko, Zakhar A. 5 2001 Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021 Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 5 2016 Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017 Flasche, Hendrik; Kabluchko, Zakhar 5 2020 Angle sums of Schläfli orthoschemes. Zbl 1490.60030 Godland, Thomas; Kabluchko, Zakhar 5 2022 Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005 Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. 5 2021 Expected number of real zeroes of random Taylor series. Zbl 1451.30016 Flasche, Hendrik; Kabluchko, Zakhar 5 2020 Angles of the Gaussian simplex. Zbl 1456.60043 Kabluchko, Z.; Zaporozhets, D. 5 2020 Random marked sets. Zbl 1266.60091 Ballani, F.; Kabluchko, Z.; Schlather, M. 5 2012 A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051 Iksanov, Alexander; Kabluchko, Zakhar 5 2018 Extremes of space-time Gaussian processes. Zbl 1181.60075 Kabluchko, Zakhar 5 2009 Beta-star polytopes and hyperbolic stochastic geometry. Zbl 1490.60031 Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 4 2022 Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174 Kabluchko, Zakhar; Marynych, Alexander 4 2016 Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056 Kabluchko, Zakhar 4 2011 Yet another note on the arithmetic-geometric mean inequality. Zbl 1453.60071 Kabluchko, Zakhar; Prochno, Joscha; Vysotsky, Vladislav 4 2020 The \(\beta\)-Delaunay tessellation: description of the model and geometry of typical cells. Zbl 1503.60014 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 4 2022 How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav 4 2020 Conical tessellations associated with Weyl chambers. Zbl 1473.52009 Godland, Thomas; Kabluchko, Zakhar 4 2021 Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055 Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail 4 2019 Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016 Kabluchko, Zakhar; Spodarev, Evgeny 3 2009 Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324 Kabluchko, Zakhar 3 2009 Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004 Kabluchko, Zakhar; Thäle, Christoph 3 2018 The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 3 2022 Faces in random great hypersphere tessellations. Zbl 1473.52011 Kabluchko, Zakhar; Thäle, Christoph 3 2021 Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007 Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 3 2022 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. Zbl 1519.82014 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 3 2020 A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Zbl 1442.60021 Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 3 2019 Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029 Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 3 2016 Grassmann angles and absorption probabilities of Gaussian convex hulls. Zbl 1523.60033 Götze, F.; Kabluchko, Z.; Zaporozhets, D. 3 2023 Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Zbl 1526.60012 Kabluchko, Zakhar; Marynych, Alexander 2 2022 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Zbl 1494.82022 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 2 2022 Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154 Kabluchko, Zakhar 2 2012 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019 Hug, Daniel; Kabluchko, Zakhar 2 2018 A leader-election procedure using records. Zbl 1392.60025 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 2 2017 A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. Zbl 1479.60028 Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya 2 2022 The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation. Zbl 1491.60019 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 2 2022 Positive hulls of random walks and bridges. Zbl 1486.52008 Godland, Thomas; Kabluchko, Zakhar 2 2022 An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085 Kabluchko, Zakhar 2 2019 Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031 Iksanov, Alexander; Kabluchko, Zakhar 2 2018 Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040 Kabluchko, Zakhar 2 2012 Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061 Kabluchko, Z. A.; Lifshits, M. A. 2 2019 Grassmann angles and absorption probabilities of Gaussian convex hulls. Zbl 1523.60033 Götze, F.; Kabluchko, Z.; Zaporozhets, D. 3 2023 On expected face numbers of random beta and beta’ polytopes. Zbl 1509.52005 Kabluchko, Zakhar 1 2023 Multivariate multiplicative functions of uniform random vectors in large integer domains. Zbl 1540.11107 Kabluchko, Zakhar; Marynych, Alexander; Raschel, Kilian 1 2023 Projections and angle sums of belt polytopes and permutohedra. Zbl 1528.52005 Godland, Thomas; Kabluchko, Zakhar 1 2023 The \(\beta\)-Delaunay tessellation. IV: Mixing properties and central limit theorems. Zbl 1520.52002 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 1 2023 Dynamics of zeroes under repeated differentiation. Zbl 1539.30002 Hoskins, Jeremy; Kabluchko, Zakhar 1 2023 Angle sums of Schläfli orthoschemes. Zbl 1490.60030 Godland, Thomas; Kabluchko, Zakhar 5 2022 Beta-star polytopes and hyperbolic stochastic geometry. Zbl 1490.60031 Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 4 2022 The \(\beta\)-Delaunay tessellation: description of the model and geometry of typical cells. Zbl 1503.60014 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 4 2022 The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 3 2022 Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007 Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 3 2022 Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Zbl 1526.60012 Kabluchko, Zakhar; Marynych, Alexander 2 2022 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Zbl 1494.82022 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 2 2022 A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. Zbl 1479.60028 Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya 2 2022 The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation. Zbl 1491.60019 Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 2 2022 Positive hulls of random walks and bridges. Zbl 1486.52008 Godland, Thomas; Kabluchko, Zakhar 2 2022 Convex cones spanned by regular polytopes. Zbl 1486.52009 Kabluchko, Zakhar; Seidel, Hauke 1 2022 Projections of the uniform distribution on the cube: a large deviation perspective. Zbl 1486.60051 Johnston, Samuel G. G.; Kabluchko, Zakhar; Prochno, Joscha 1 2022 Asymptotics for the expected number of nodal components for random lemniscates. Zbl 1486.30017 Kabluchko, Zakhar; Wigman, Igor 1 2022 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 12 2021 Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006 Kabluchko, Zakhar 12 2021 The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007 Kabluchko, Zakhar; Prochno, Joscha 10 2021 The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030 Kabluchko, Zakhar; Thäle, Christoph 8 2021 Phase transition for the volume of high-dimensional random polytopes. Zbl 1529.60020 Bonnet, Gilles; Kabluchko, Zakhar; Turchi, Nicola 8 2021 A new look at random projections of the cube and general product measures. Zbl 1473.60063 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 6 2021 Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010 Kabluchko, Zakhar 6 2021 Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005 Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. 5 2021 Conical tessellations associated with Weyl chambers. Zbl 1473.52009 Godland, Thomas; Kabluchko, Zakhar 4 2021 Faces in random great hypersphere tessellations. Zbl 1473.52011 Kabluchko, Zakhar; Thäle, Christoph 3 2021 Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. Zbl 1483.05158 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 1 2021 A new approach to weak convergence of random cones and polytopes. Zbl 1486.52010 Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 1 2021 Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005 Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry 23 2020 Sanov-type large deviations in Schatten classes. Zbl 1445.60012 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 17 2020 Expected \(f\)-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Zbl 1530.52008 Kabluchko, Zakhar 12 2020 Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030 Kabluchko, Zakhar; Zaporozhets, Dmitry 9 2020 Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006 Kabluchko, Zakhar 8 2020 Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 8 2020 Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2020 Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017 Flasche, Hendrik; Kabluchko, Zakhar 5 2020 Expected number of real zeroes of random Taylor series. Zbl 1451.30016 Flasche, Hendrik; Kabluchko, Zakhar 5 2020 Angles of the Gaussian simplex. Zbl 1456.60043 Kabluchko, Z.; Zaporozhets, D. 5 2020 Yet another note on the arithmetic-geometric mean inequality. Zbl 1453.60071 Kabluchko, Zakhar; Prochno, Joscha; Vysotsky, Vladislav 4 2020 How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav 4 2020 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. Zbl 1519.82014 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 3 2020 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007 Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 33 2019 Limit theorems for random simplices in high dimensions. Zbl 1456.52006 Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph 31 2019 Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003 Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 29 2019 Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Zbl 1428.52007 Kabluchko, Zakhar; Marynych, Alexander; Temesvari, Daniel; Thäle, Christoph 29 2019 Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 13 2019 Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031 Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 12 2019 Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003 Kabluchko, Zakhar; Seidel, Hauke 8 2019 Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017 Kabluchko, Zakhar; Zaporozhets, Dmitry 6 2019 Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055 Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail 4 2019 A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Zbl 1442.60021 Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 3 2019 An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085 Kabluchko, Zakhar 2 2019 Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061 Kabluchko, Z. A.; Lifshits, M. A. 2 2019 Random tessellations associated with max-stable random fields. Zbl 1388.60092 Dombry, Clément; Kabluchko, Zakhar 9 2018 A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051 Iksanov, Alexander; Kabluchko, Zakhar 5 2018 Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004 Kabluchko, Zakhar; Thäle, Christoph 3 2018 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019 Hug, Daniel; Kabluchko, Zakhar 2 2018 Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031 Iksanov, Alexander; Kabluchko, Zakhar 2 2018 Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075 Iksanov, Alexander; Kabluchko, Zakhar 1 2018 Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009 Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 29 2017 Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056 Dombry, Clément; Kabluchko, Zakhar 20 2017 Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007 Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 14 2017 Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075 Grübel, Rudolf; Kabluchko, Zakhar 13 2017 General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068 Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 11 2017 Fractionally integrated inverse stable subordinators. Zbl 1353.60032 Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy 9 2017 Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010 Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D. 7 2017 Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010 Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry 5 2017 Least energy approximation for processes with stationary increments. Zbl 1419.60030 Kabluchko, Zakhar; Lifshits, Mikhail 5 2017 A leader-election procedure using records. Zbl 1392.60025 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 2 2017 Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065 Kabluchko, Zakhar; Stoev, Stilian 21 2016 Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009 Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 15 2016 Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025 Kabluchko, Zakhar; Zaporozhets, Dmitry 11 2016 A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. Zbl 1356.60055 Iksanov, Alexander; Kabluchko, Zakhar 10 2016 A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028 Grübel, Rudolf; Kabluchko, Zakhar 7 2016 Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021 Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 5 2016 Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174 Kabluchko, Zakhar; Marynych, Alexander 4 2016 Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029 Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 3 2016 Leader election using random walks. Zbl 1355.60057 Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 1 2016 A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100 Engelke, Sebastian; Kabluchko, Zakhar 1 2016 Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038 Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin 37 2015 Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008 Kabluchko, Zakhar 23 2015 Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073 Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin 11 2015 Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065 Engelke, Sebastian; Kabluchko, Zakhar 6 2015 Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008 Kabluchko, Zakhar; Zaporozhets, Dmitry 44 2014 Complex random energy model: zeros and fluctuations. Zbl 1292.60052 Kabluchko, Zakhar; Klimovsky, Anton 11 2014 Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074 Kabluchko, Zakhar; Wang, Yizao 11 2014 Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038 Zaporozhets, D.; Kabluchko, Z. 7 2014 Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019 Kabluchko, Zakhar; Zaporozhets, Dmitry 8 2013 Simulation of Brown-Resnick processes. Zbl 1329.60157 Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin 31 2012 Extremes of independent chi-square random vectors. Zbl 1329.60028 Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim 15 2012 Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116 Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel 12 2012 Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036 Kabluchko, Zakhar 11 2012 Random marked sets. Zbl 1266.60091 Ballani, F.; Kabluchko, Z.; Schlather, M. 5 2012 Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154 Kabluchko, Zakhar 2 2012 Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040 Kabluchko, Zakhar 2 2012 Extremes of independent Gaussian processes. Zbl 1329.60152 Kabluchko, Zakhar 25 2011 Extremes of the standardized Gaussian noise. Zbl 1225.60084 Kabluchko, Zakhar 19 2011 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 667 Authors 94 Kabluchko, Zakhar A. 40 Thäle, Christoph 29 Hashorva, Enkelejd 25 Prochno, Joscha 20 Marynych, Alexander V. 19 Iksanov, Aleksander M. 15 Huser, Raphaël 15 Zaporozhets, Dmitry 13 Schlather, Martin 12 Oesting, Marco 11 Wang, Yizao 10 Engelke, Sebastian 10 Gao, Zhiqiang 10 Stoev, Stilian A. 10 Tan, Zhongquan 9 Dębicki, Krzysztof 9 Dombry, Clément 9 Godland, Thomas 9 Gusakova, Anna Grigorevna 8 Molchanov, Ilya S. 8 Opitz, Thomas 8 Strokorb, Kirstin 7 Hug, Daniel 7 Munk, Axel 7 Poly, Guillaume 7 Sanna, Carlo 6 Angst, Jürgen 6 Genton, Marc G. 6 Lifshits, Mikhail A. 6 Liu, Quansheng 6 Löwe, Matthias 6 Mikosch, Thomas 6 Pritsker, Igor E. 6 Reich, Brian James 6 Robert, Christian-Yann 6 Segers, Johan 6 Vysotsky, Vladislav V. 5 Besau, Florian 5 Bonnet, Gilles 5 Davis, Richard A. 5 Götze, Friedrich 5 Klüppelberg, Claudia 5 Koch, Erwan 5 Meiners, Matthias 5 Peng, Zuoxiang 5 Takahasi, Hiroki 5 Wadsworth, Jennifer L. 4 Alonso-Gutiérrez, David 4 Bacro, Jean-Noël 4 Buraczewski, Dariusz 4 Cooley, Daniel S. 4 Davison, Anthony C. 4 Heiny, Johannes 4 Hintermüller, Michael 4 Johnston, Samuel G. G. 4 Kolesko, Konrad 4 Lacoin, Hubert 4 Majumdar, Satya N. 4 Nguyen, Oanh 4 Padoan, Simone A. 4 Popescu, Gelu 4 Ribatet, Mathieu 4 Roy, Parthanil 4 Schubert, Kristina 4 Shaby, Benjamin A. 4 Steinerberger, Stefan 4 Temesvari, Daniel 4 Thibaud, Emeric 4 Weng, Zhichao 3 Arias-Castro, Ery 3 Bissantz, Nicolai 3 Brazitikos, Silouanos 3 Buhl, Sven 3 Davies, Patrick Laurie 3 Eyi-Minko, Frédéric 3 Frick, Klaus 3 Frühwirth, Lorenz 3 Gaetan, Carlo 3 Grote, Julian 3 Hoehner, Steven D. 3 Jalowy, Jonas 3 Juhos, Michael L. 3 Kaufmann, Tom 3 Kim, Steven Soojin 3 Krupskii, Pavel 3 Kuba, Markus F. 3 Liao, Xin 3 Marnitz, Philipp 3 Maume-Deschamps, Véronique 3 Michelen, Marcus 3 Mukherjee, Sumit 3 Nguyen, Hoi H. 3 Nishry, Alon 3 Pafis, Minas 3 Račkauskas, Alfredas Yurgevich 3 Rashytov, Bohdan 3 Rautenberg, Carlos N. 3 Reitzner, Matthias 3 Ribereau, Pierre 3 Sambale, Holger ...and 567 more Authors all top 5 Cited in 152 Serials 48 Extremes 38 Stochastic Processes and their Applications 30 Electronic Journal of Probability 21 Journal of Mathematical Analysis and Applications 21 Bernoulli 16 Statistics & Probability Letters 15 Journal of Applied Probability 15 Transactions of the American Mathematical Society 13 Annales de l’Institut Henri Poincaré. 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WIREs Computational Statistics 2 Statistics and Computing 2 Discrete Analysis 2 Statistical Theory and Related Fields 1 Indian Journal of Pure & Applied Mathematics 1 Mathematische Semesterberichte 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 American Journal of Mathematics 1 Biometrics 1 Canadian Journal of Mathematics 1 Computing 1 Duke Mathematical Journal 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of Time Series Analysis 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Constructive Approximation ...and 52 more Serials all top 5 Cited in 41 Fields 458 Probability theory and stochastic processes (60-XX) 147 Statistics (62-XX) 117 Convex and discrete geometry (52-XX) 52 Functions of a complex variable (30-XX) 29 Functional analysis (46-XX) 26 Number theory (11-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Real functions (26-XX) 23 Dynamical systems and ergodic theory (37-XX) 17 Computer science (68-XX) 15 Combinatorics (05-XX) 13 Geometry (51-XX) 11 Numerical analysis (65-XX) 11 Geophysics (86-XX) 10 Operator theory (47-XX) 10 Differential geometry (53-XX) 8 Partial differential equations (35-XX) 8 Information and communication theory, circuits (94-XX) 7 Special functions (33-XX) 7 Approximations and expansions (41-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Measure and integration (28-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) Citations by Year