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: 121 Publications since 2001 Reviewing Activity: 97 Reviews Co-Authors: 62 Co-Authors with 102 Joint Publications 1,472 Co-Co-Authors all top 5 Co-Authors 19 single-authored 23 Thäle, Christoph 15 Zaporozhets, Dmitry 14 Marynych, Alexander V. 11 Prochno, Joscha 9 Iksanov, Aleksander M. 8 Godland, Thomas 7 Schlather, Martin 5 Engelke, Sebastian 5 Gusakova, Anna Grigorevna 5 Vysotsky, Vladislav V. 4 Alsmeyer, Gerold 4 Löwe, Matthias 4 Schubert, Kristina 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 Proskurin, Daniil P. 2 Seidel, Hauke 2 Sulzbach, Henning 1 Aistleitner, Christoph 1 Alonso-Gutiérrez, David 1 Baci, Anastas 1 Ballani, Felix 1 Besau, Florian 1 Davies, Patrick Laurie 1 de Haan, Laurens 1 Denker, Manfred 1 Gantert, Nina 1 Hashorva, Enkelejd 1 Hotz, Thomas 1 Hug, Daniel 1 Ibragimov, Il’dar Abdullovich 1 Johnston, Samuel G. G. 1 Kim, Chesoong 1 Klimovsky, Anton 1 Kotelnikova, Valeriya 1 Last, Günter 1 Litvak, Aleksandr Evgen’evich 1 Malinowski, Alexander 1 Marnitz, Philipp 1 Oesting, Marco 1 Pitters, Helmut H. 1 Ramanan, Kavita 1 Raschel, Kilian 1 Reitzner, Matthias 1 Samoĭlenko, Yuriĭ Stefanovych 1 Shevchenko, Georgiy M. 1 Sonnleitner, Mathias 1 Spodarev, Evgueni 1 Steigenberger, David Albert 1 Stichtenoth, Rahel 1 Stoev, Stilian A. 1 Vritsiou, Beatrice-Helen 1 Wang, Yizao 1 Werner, Elisabeth M. 1 Wigman, Igor 1 Wübker, Achim all top 5 Serials 10 Stochastic Processes and their Applications 6 Bernoulli 5 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Journal of Mathematical Sciences (New York) 5 Electronic Journal of Probability 5 Extremes 4 Advances in Applied Probability 4 Advances in Mathematics 4 The Annals of Probability 4 Journal of Applied Probability 4 Discrete & Computational Geometry 4 The Annals of Applied Probability 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 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 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 Mathematische Nachrichten 1 Advances in Applied Mathematics 1 Probability and Mathematical Statistics 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Computational Statistics and Data Analysis 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 113 Probability theory and stochastic processes (60-XX) 46 Convex and discrete geometry (52-XX) 12 Number theory (11-XX) 10 Functional analysis (46-XX) 8 Functions of a complex variable (30-XX) 7 Combinatorics (05-XX) 7 Geometry (51-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-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 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 919 times in 478 Documents Cited by ▼ Year ▼ Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 132 2009 Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008Kabluchko, Zakhar; Zaporozhets, Dmitry 37 2014 Spectral representations of sum- and max-stable processes. Zbl 1224.60120Kabluchko, Zakhar 34 2009 Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin 31 2015 Simulation of Brown-Resnick processes. Zbl 1329.60157Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin 26 2012 Limit theorems for random simplices in high dimensions. Zbl 1456.52006Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph 24 2019 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 24 2019 Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 24 2017 Extremes of independent Gaussian processes. Zbl 1329.60152Kabluchko, Zakhar 22 2011 Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Zbl 1428.52007Kabluchko, Zakhar; Marynych, Alexander; Temesvari, Daniel; Thäle, Christoph 21 2019 Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 21 2019 Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101Kabluchko, Zakhar; Schlather, Martin 21 2010 Extremes of the standardized Gaussian noise. Zbl 1225.60084Kabluchko, Zakhar 19 2011 Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065Kabluchko, Zakhar; Stoev, Stilian 19 2016 Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry 17 2020 Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056Dombry, Clément; Kabluchko, Zakhar 16 2017 Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008Kabluchko, Zakhar 14 2015 Sanov-type large deviations in Schatten classes. Zbl 1445.60012Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 14 2020 Extremes of independent chi-square random vectors. Zbl 1329.60028Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim 14 2012 Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 13 2016 An equivalent representation of the Brown-Resnick process. Zbl 1234.60056Engelke, S.; Kabluchko, Z.; Schlather, M. 12 2011 Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 12 2019 An Erdős-Rényi law for mixing processes. Zbl 1125.60023Denker, Manfred; Kabluchko, Zakhar 12 2007 Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel 11 2012 General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 11 2017 Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036Kabluchko, Zakhar 10 2012 Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075Grübel, Rudolf; Kabluchko, Zakhar 10 2017 Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 10 2019 Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025Kabluchko, Zakhar; Zaporozhets, Dmitry 9 2016 A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. Zbl 1356.60055Iksanov, Alexander; Kabluchko, Zakhar 9 2016 Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063Kabluchko, Zakhar; Munk, Axel 9 2008 Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 9 2017 Fractionally integrated inverse stable subordinators. Zbl 1353.60032Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy 9 2017 Complex random energy model: zeros and fluctuations. Zbl 1292.60052Kabluchko, Zakhar; Klimovsky, Anton 9 2014 Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin 9 2015 Random tessellations associated with max-stable random fields. Zbl 1388.60092Dombry, Clément; Kabluchko, Zakhar 8 2018 Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074Kabluchko, Zakhar; Wang, Yizao 8 2014 Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 8 2020 Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019Kabluchko, Zakhar; Zaporozhets, Dmitry 7 2013 A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028Grübel, Rudolf; Kabluchko, Zakhar 7 2016 Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006Kabluchko, Zakhar 7 2021 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2021 Stationary systems of Gaussian processes. Zbl 1230.60054Kabluchko, Zakhar 7 2010 Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014Kabluchko, Zakhar; Munk, Axel 7 2009 Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038Zaporozhets, D.; Kabluchko, Z. 6 2014 Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D. 6 2017 Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 5 2016 Random marked sets. Zbl 1266.60091Ballani, F.; Kabluchko, Z.; Schlather, M. 5 2012 Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 5 2020 Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006Kabluchko, Zakhar 5 2020 Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065Engelke, Sebastian; Kabluchko, Zakhar 5 2015 Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056Kabluchko, Zakhar 4 2011 Conical tessellations associated with Weyl chambers. Zbl 1473.52009Godland, Thomas; Kabluchko, Zakhar 4 2021 Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017Kabluchko, Zakhar; Zaporozhets, Dmitry 4 2019 Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174Kabluchko, Zakhar; Marynych, Alexander 4 2016 Extremes of space-time Gaussian processes. Zbl 1181.60075Kabluchko, Zakhar 4 2009 The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030Kabluchko, Zakhar; Thäle, Christoph 4 2021 Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017Flasche, Hendrik; Kabluchko, Zakhar 4 2020 Least energy approximation for processes with stationary increments. Zbl 1419.60030Kabluchko, Zakhar; Lifshits, Mikhail 4 2017 How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav 4 2020 Angles of the Gaussian simplex. Zbl 1456.60043Kabluchko, Z.; Zaporozhets, D. 4 2020 The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007Kabluchko, Zakhar; Prochno, Joscha 4 2021 Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003Kabluchko, Zakhar; Seidel, Hauke 3 2019 A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051Iksanov, Alexander; Kabluchko, Zakhar 3 2018 Angle sums of Schläfli orthoschemes. Zbl 1490.60030Godland, Thomas; Kabluchko, Zakhar 3 2022 Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry 3 2017 Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 3 2016 A new look at random projections of the cube and general product measures. Zbl 1473.60063Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 3 2021 Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030Kabluchko, Zakhar; Zaporozhets, Dmitry 3 2020 Expected number of real zeroes of random Taylor series. Zbl 1451.30016Flasche, Hendrik; Kabluchko, Zakhar 3 2020 Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. 3 2021 Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324Kabluchko, Zakhar 3 2009 On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050Kabluchko, Zakhar A. 3 2001 Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016Kabluchko, Zakhar; Spodarev, Evgeny 3 2009 Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 3 2022 Positive hulls of random walks and bridges. Zbl 1486.52008Godland, Thomas; Kabluchko, Zakhar 2 2022 A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Zbl 1442.60021Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 2 2019 Beta-star polytopes and hyperbolic stochastic geometry. Zbl 1490.60031Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 2 2022 Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040Kabluchko, Zakhar 2 2012 Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail 2 2019 Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004Kabluchko, Zakhar; Thäle, Christoph 2 2018 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. Zbl 07644718Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 2 2020 Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031Iksanov, Alexander; Kabluchko, Zakhar 2 2018 A leader-election procedure using records. Zbl 1392.60025Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 2 2017 The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 2 2022 Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061Kabluchko, Z. A.; Lifshits, M. A. 1 2019 Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010Kabluchko, Zakhar 1 2021 An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085Kabluchko, Zakhar 1 2019 Leader election using random walks. Zbl 1355.60057Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 1 2016 Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154Kabluchko, Zakhar 1 2012 A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. Zbl 1479.60028Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya 1 2022 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019Hug, Daniel; Kabluchko, Zakhar 1 2018 Faces in random great hypersphere tessellations. Zbl 1473.52011Kabluchko, Zakhar; Thäle, Christoph 1 2021 Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075Iksanov, Alexander; Kabluchko, Zakhar 1 2018 Grassmann angles and absorption probabilities of Gaussian convex hulls. Zbl 07712771Götze, F.; Kabluchko, Z.; Zaporozhets, D. 1 2023 The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation. Zbl 1491.60019Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 1 2022 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Zbl 1494.82022Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 1 2022 Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Zbl 07620668Kabluchko, Zakhar; Marynych, Alexander 1 2022 The \(\beta\)-Delaunay tessellation: description of the model and geometry of typical cells. Zbl 1503.60014Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 1 2022 A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100Engelke, Sebastian; Kabluchko, Zakhar 1 2016 Grassmann angles and absorption probabilities of Gaussian convex hulls. Zbl 07712771Götze, F.; Kabluchko, Z.; Zaporozhets, D. 1 2023 Projections and angle sums of belt polytopes and permutohedra. Zbl 07689532Godland, Thomas; Kabluchko, Zakhar 1 2023 Angle sums of Schläfli orthoschemes. Zbl 1490.60030Godland, Thomas; Kabluchko, Zakhar 3 2022 Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 3 2022 Positive hulls of random walks and bridges. Zbl 1486.52008Godland, Thomas; Kabluchko, Zakhar 2 2022 Beta-star polytopes and hyperbolic stochastic geometry. Zbl 1490.60031Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 2 2022 The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 2 2022 A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. Zbl 1479.60028Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya 1 2022 The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation. Zbl 1491.60019Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 1 2022 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Zbl 1494.82022Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 1 2022 Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Zbl 07620668Kabluchko, Zakhar; Marynych, Alexander 1 2022 The \(\beta\)-Delaunay tessellation: description of the model and geometry of typical cells. Zbl 1503.60014Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph 1 2022 Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006Kabluchko, Zakhar 7 2021 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2021 Conical tessellations associated with Weyl chambers. Zbl 1473.52009Godland, Thomas; Kabluchko, Zakhar 4 2021 The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030Kabluchko, Zakhar; Thäle, Christoph 4 2021 The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007Kabluchko, Zakhar; Prochno, Joscha 4 2021 A new look at random projections of the cube and general product measures. Zbl 1473.60063Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 3 2021 Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. 3 2021 Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010Kabluchko, Zakhar 1 2021 Faces in random great hypersphere tessellations. Zbl 1473.52011Kabluchko, Zakhar; Thäle, Christoph 1 2021 A new approach to weak convergence of random cones and polytopes. Zbl 1486.52010Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 1 2021 Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. Zbl 1483.05158Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 1 2021 Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry 17 2020 Sanov-type large deviations in Schatten classes. Zbl 1445.60012Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 14 2020 Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 8 2020 Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 5 2020 Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006Kabluchko, Zakhar 5 2020 Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017Flasche, Hendrik; Kabluchko, Zakhar 4 2020 How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav 4 2020 Angles of the Gaussian simplex. Zbl 1456.60043Kabluchko, Z.; Zaporozhets, D. 4 2020 Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030Kabluchko, Zakhar; Zaporozhets, Dmitry 3 2020 Expected number of real zeroes of random Taylor series. Zbl 1451.30016Flasche, Hendrik; Kabluchko, Zakhar 3 2020 Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. Zbl 07644718Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 2 2020 Limit theorems for random simplices in high dimensions. Zbl 1456.52006Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph 24 2019 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 24 2019 Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Zbl 1428.52007Kabluchko, Zakhar; Marynych, Alexander; Temesvari, Daniel; Thäle, Christoph 21 2019 Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 21 2019 Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 12 2019 Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 10 2019 Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017Kabluchko, Zakhar; Zaporozhets, Dmitry 4 2019 Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003Kabluchko, Zakhar; Seidel, Hauke 3 2019 A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Zbl 1442.60021Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 2 2019 Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail 2 2019 Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061Kabluchko, Z. A.; Lifshits, M. A. 1 2019 An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085Kabluchko, Zakhar 1 2019 Random tessellations associated with max-stable random fields. Zbl 1388.60092Dombry, Clément; Kabluchko, Zakhar 8 2018 A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051Iksanov, Alexander; Kabluchko, Zakhar 3 2018 Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004Kabluchko, Zakhar; Thäle, Christoph 2 2018 Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031Iksanov, Alexander; Kabluchko, Zakhar 2 2018 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019Hug, Daniel; Kabluchko, Zakhar 1 2018 Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075Iksanov, Alexander; Kabluchko, Zakhar 1 2018 Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 24 2017 Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056Dombry, Clément; Kabluchko, Zakhar 16 2017 General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 11 2017 Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075Grübel, Rudolf; Kabluchko, Zakhar 10 2017 Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 9 2017 Fractionally integrated inverse stable subordinators. Zbl 1353.60032Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy 9 2017 Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D. 6 2017 Least energy approximation for processes with stationary increments. Zbl 1419.60030Kabluchko, Zakhar; Lifshits, Mikhail 4 2017 Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry 3 2017 A leader-election procedure using records. Zbl 1392.60025Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 2 2017 Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065Kabluchko, Zakhar; Stoev, Stilian 19 2016 Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 13 2016 Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025Kabluchko, Zakhar; Zaporozhets, Dmitry 9 2016 A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. Zbl 1356.60055Iksanov, Alexander; Kabluchko, Zakhar 9 2016 A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028Grübel, Rudolf; Kabluchko, Zakhar 7 2016 Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 5 2016 Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174Kabluchko, Zakhar; Marynych, Alexander 4 2016 Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 3 2016 Leader election using random walks. Zbl 1355.60057Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 1 2016 A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100Engelke, Sebastian; Kabluchko, Zakhar 1 2016 Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin 31 2015 Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008Kabluchko, Zakhar 14 2015 Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin 9 2015 Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065Engelke, Sebastian; Kabluchko, Zakhar 5 2015 Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008Kabluchko, Zakhar; Zaporozhets, Dmitry 37 2014 Complex random energy model: zeros and fluctuations. Zbl 1292.60052Kabluchko, Zakhar; Klimovsky, Anton 9 2014 Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074Kabluchko, Zakhar; Wang, Yizao 8 2014 Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038Zaporozhets, D.; Kabluchko, Z. 6 2014 Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019Kabluchko, Zakhar; Zaporozhets, Dmitry 7 2013 Simulation of Brown-Resnick processes. Zbl 1329.60157Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin 26 2012 Extremes of independent chi-square random vectors. Zbl 1329.60028Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim 14 2012 Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel 11 2012 Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036Kabluchko, Zakhar 10 2012 Random marked sets. Zbl 1266.60091Ballani, F.; Kabluchko, Z.; Schlather, M. 5 2012 Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040Kabluchko, Zakhar 2 2012 Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154Kabluchko, Zakhar 1 2012 Extremes of independent Gaussian processes. Zbl 1329.60152Kabluchko, Zakhar 22 2011 Extremes of the standardized Gaussian noise. Zbl 1225.60084Kabluchko, Zakhar 19 2011 An equivalent representation of the Brown-Resnick process. Zbl 1234.60056Engelke, S.; Kabluchko, Z.; Schlather, M. 12 2011 Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056Kabluchko, Zakhar 4 2011 Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101Kabluchko, Zakhar; Schlather, Martin 21 2010 Stationary systems of Gaussian processes. Zbl 1230.60054Kabluchko, Zakhar 7 2010 Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 132 2009 Spectral representations of sum- and max-stable processes. Zbl 1224.60120Kabluchko, Zakhar 34 2009 Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014Kabluchko, Zakhar; Munk, Axel 7 2009 Extremes of space-time Gaussian processes. Zbl 1181.60075Kabluchko, Zakhar 4 2009 Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324Kabluchko, Zakhar 3 2009 Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016Kabluchko, Zakhar; Spodarev, Evgeny 3 2009 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 543 Authors 84 Kabluchko, Zakhar A. 33 Thäle, Christoph 26 Hashorva, Enkelejd 19 Prochno, Joscha 17 Iksanov, Aleksander M. 17 Marynych, Alexander V. 14 Zaporozhets, Dmitry 11 Huser, Raphaël 11 Schlather, Martin 11 Wang, Yizao 10 Engelke, Sebastian 10 Oesting, Marco 10 Stoev, Stilian A. 9 Gao, Zhiqiang 9 Tan, Zhongquan 8 Dębicki, Krzysztof 8 Dombry, Clément 8 Molchanov, Ilya S. 7 Godland, Thomas 7 Gusakova, Anna Grigorevna 7 Munk, Axel 7 Sanna, Carlo 7 Strokorb, Kirstin 6 Mikosch, Thomas 6 Poly, Guillaume 6 Segers, Johan 6 Vysotsky, Vladislav V. 5 Angst, Jürgen 5 Davis, Richard A. 5 Götze, Friedrich 5 Klüppelberg, Claudia 5 Lifshits, Mikhail A. 5 Löwe, Matthias 5 Opitz, Thomas 5 Peng, Zuoxiang 5 Pritsker, Igor E. 5 Robert, Christian-Yann 5 Takahasi, Hiroki 4 Alonso-Gutiérrez, David 4 Bacro, Jean-Noël 4 Davison, Anthony C. 4 Genton, Marc G. 4 Hintermüller, Michael 4 Hug, Daniel 4 Koch, Erwan 4 Liu, Quansheng 4 Meiners, Matthias 4 Padoan, Simone A. 4 Roy, Parthanil 4 Schubert, Kristina 4 Temesvari, Daniel 4 Weng, Zhichao 3 Abu-Awwad, Abdul-Fattah 3 Arias-Castro, Ery 3 Besau, Florian 3 Bonnet, Gilles 3 Buhl, Sven 3 Buraczewski, Dariusz 3 Davies, Patrick Laurie 3 Eyi-Minko, Frédéric 3 Frick, Klaus 3 Gaetan, Carlo 3 Grote, Julian 3 Johnston, Samuel G. G. 3 Kolesko, Konrad 3 Krupskii, Pavel 3 Kuba, Markus F. 3 Lacoin, Hubert 3 Liao, Xin 3 Marnitz, Philipp 3 Maume-Deschamps, Véronique 3 Mukherjee, Sumit 3 Nguyen, Oanh 3 Nishry, Alon 3 Račkauskas, Alfredas Yurgevich 3 Rashytov, Bohdan 3 Rautenberg, Carlos N. 3 Reich, Brian James 3 Ribatet, Mathieu 3 Ribereau, Pierre 3 Samorodnitsky, Gennady Pinkhosovich 3 Shaby, Benjamin A. 3 So, Mike K. P. 3 Sodin, Mikhail 3 Soulier, Philippe 3 Steinerberger, Stefan 3 Sulzbach, Henning 3 Wadsworth, Jennifer L. 2 Aljubran, Hanan 2 Asenova, Stefka 2 Baci, Anastas 2 Ballani, Felix 2 Bayraktar, Turgay 2 Beneš, Viktor 2 Beranger, Boris 2 Bissantz, Nicolai 2 Bloom, Thomas 2 Borichev, Aleksandr Aleksandrovich 2 Chan, Raymond K. S. 2 Chasapis, Giorgos ...and 443 more Authors all top 5 Cited in 129 Serials 42 Extremes 34 Stochastic Processes and their Applications 21 Electronic Journal of Probability 18 Journal of Mathematical Analysis and Applications 18 Bernoulli 15 Statistics & Probability Letters 14 Journal of Applied Probability 13 Transactions of the American Mathematical Society 12 Advances in Applied Probability 9 Advances in Mathematics 9 The Annals of Probability 9 Journal of Multivariate Analysis 9 Proceedings of the American Mathematical Society 8 Annales de l’Institut Henri Poincaré. 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GAFA 1 European Journal of Operational Research 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Test 1 Applied Mathematics. Series B (English Edition) 1 Mathematical Methods of Statistics 1 Statistical Papers 1 Statistica Sinica 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Revista Investigación Operacional 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Journal of Applied Statistics 1 Journal of Integer Sequences ...and 29 more Serials all top 5 Cited in 40 Fields 374 Probability theory and stochastic processes (60-XX) 120 Statistics (62-XX) 81 Convex and discrete geometry (52-XX) 40 Functions of a complex variable (30-XX) 23 Number theory (11-XX) 23 Real functions (26-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Functional analysis (46-XX) 19 Statistical mechanics, structure of matter (82-XX) 14 Computer science (68-XX) 13 Combinatorics (05-XX) 11 Geophysics (86-XX) 10 Operator theory (47-XX) 10 Numerical analysis (65-XX) 8 Geometry (51-XX) 8 Differential geometry (53-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Partial differential equations (35-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year