Edit Profile (opens in new tab) Kabluchko, Zakhar A. Compute Distance To: Compute 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: 114 Publications since 2001 Reviewing Activity: 96 Reviews Co-Authors: 59 Co-Authors with 96 Joint Publications 1,428 Co-Co-Authors all top 5 Co-Authors 18 single-authored 21 Thäle, Christoph 14 Zaporozhets, Dmitry 12 Marynych, Alexander V. 11 Prochno, Joscha 9 Iksanov, Aleksander M. 7 Godland, Thomas 7 Schlather, Martin 5 Engelke, Sebastian 5 Vysotsky, Vladislav V. 4 Alsmeyer, Gerold 4 Gusakova, Anna Grigorevna 4 Löwe, Matthias 4 Schubert, Kristina 3 Lifshits, Mikhail A. 3 Munk, Axel 3 Temesvari, Daniel 2 Dombry, Clément 2 Flasche, Hendrik 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 Götze, Friedrich 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 Ramanan, Kavita 1 Reitzner, Matthias 1 Samoĭlenko, Yuriĭ Stefanovych 1 Shevchenko, Georgiy M. 1 Sonnleitner, Mathias 1 Spodarev, Evgueni 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 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 Journal of Mathematical Sciences (New York) 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 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 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 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 Mathematika 1 Results in 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 Journal of Physics A: Mathematical and Theoretical 1 Modern Stochastics. Theory and Applications 1 Discrete Analysis all top 5 Fields 106 Probability theory and stochastic processes (60-XX) 42 Convex and discrete geometry (52-XX) 10 Functional analysis (46-XX) 9 Number theory (11-XX) 8 Functions of a complex variable (30-XX) 6 Geometry (51-XX) 5 Combinatorics (05-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Quantum theory (81-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 844 times in 440 Documents Cited by ▼ Year ▼ Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens 128 2009 Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008Kabluchko, Zakhar; Zaporozhets, Dmitry 36 2014 Spectral representations of sum- and max-stable processes. Zbl 1224.60120Kabluchko, Zakhar 34 2009 Simulation of Brown-Resnick processes. Zbl 1329.60157Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin 26 2012 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 23 2019 Extremes of independent Gaussian processes. Zbl 1329.60152Kabluchko, Zakhar 22 2011 Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin 21 2015 Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101Kabluchko, Zakhar; Schlather, Martin 21 2010 Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 20 2017 Extremes of the standardized Gaussian noise. Zbl 1225.60084Kabluchko, Zakhar 19 2011 Limit theorems for random simplices in high dimensions. Zbl 1456.52006Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph 18 2019 Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065Kabluchko, Zakhar; Stoev, Stilian 18 2016 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 17 2019 Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 16 2019 Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056Dombry, Clément; Kabluchko, Zakhar 15 2017 Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry 14 2020 Sanov-type large deviations in Schatten classes. Zbl 1445.60012Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 14 2020 Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008Kabluchko, Zakhar 14 2015 Extremes of independent chi-square random vectors. Zbl 1329.60028Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim 14 2012 An equivalent representation of the Brown-Resnick process. Zbl 1234.60056Engelke, S.; Kabluchko, Z.; Schlather, M. 13 2011 An Erdős-Rényi law for mixing processes. Zbl 1125.60023Denker, Manfred; Kabluchko, Zakhar 12 2007 Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 12 2016 Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 11 2019 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 Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075Grübel, Rudolf; Kabluchko, Zakhar 10 2017 Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036Kabluchko, Zakhar 10 2012 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 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 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 Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063Kabluchko, Zakhar; Munk, Axel 9 2008 General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 8 2017 Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025Kabluchko, Zakhar; Zaporozhets, Dmitry 8 2016 Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074Kabluchko, Zakhar; Wang, Yizao 8 2014 Random tessellations associated with max-stable random fields. Zbl 1388.60092Dombry, Clément; Kabluchko, Zakhar 8 2018 Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 7 2019 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2021 Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2020 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 Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014Kabluchko, Zakhar; Munk, Axel 7 2009 Stationary systems of Gaussian processes. Zbl 1230.60054Kabluchko, Zakhar 7 2010 Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019Kabluchko, Zakhar; Zaporozhets, Dmitry 7 2013 Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065Engelke, Sebastian; Kabluchko, Zakhar 6 2015 Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006Kabluchko, Zakhar 6 2021 Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 5 2020 Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D. 5 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 The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007Kabluchko, Zakhar; Prochno, Joscha 4 2021 The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030Kabluchko, Zakhar; Thäle, Christoph 4 2021 Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006Kabluchko, Zakhar 4 2020 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 Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174Kabluchko, Zakhar; Marynych, Alexander 4 2016 Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056Kabluchko, Zakhar 4 2011 Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038Zaporozhets, D.; Kabluchko, Z. 4 2014 Extremes of space-time Gaussian processes. Zbl 1181.60075Kabluchko, Zakhar 4 2009 How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav 3 2020 Angles of the Gaussian simplex. Zbl 1456.60043Kabluchko, Z.; Zaporozhets, D. 3 2020 On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050Kabluchko, Zakhar A. 3 2001 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 A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051Iksanov, Alexander; Kabluchko, Zakhar 3 2018 Conical tessellations associated with Weyl chambers. Zbl 1473.52009Godland, Thomas; Kabluchko, Zakhar 3 2021 Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 3 2016 Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003Kabluchko, Zakhar; Seidel, Hauke 3 2019 Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry 3 2017 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 A leader-election procedure using records. Zbl 1392.60025Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 2 2017 Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031Iksanov, Alexander; Kabluchko, Zakhar 2 2018 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 A new look at random projections of the cube and general product measures. Zbl 1473.60063Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 2 2021 Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030Kabluchko, Zakhar; Zaporozhets, Dmitry 2 2020 Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017Kabluchko, Zakhar; Zaporozhets, Dmitry 2 2019 Expected number of real zeroes of random Taylor series. Zbl 1451.30016Flasche, Hendrik; Kabluchko, Zakhar 2 2020 Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040Kabluchko, Zakhar 2 2012 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. 2 2021 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 Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061Kabluchko, Z. A.; Lifshits, M. A. 1 2019 Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075Iksanov, Alexander; Kabluchko, Zakhar 1 2018 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019Hug, Daniel; Kabluchko, Zakhar 1 2018 The generalized CCR: representations and enveloping \(C^ *\)-algebra. Zbl 1090.46053Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A. 1 2003 Faces in random great hypersphere tessellations. Zbl 1473.52011Kabluchko, Zakhar; Thäle, Christoph 1 2021 Leader election using random walks. Zbl 1355.60057Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 1 2016 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 A new approach to weak convergence of random cones and polytopes. Zbl 1486.52010Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 1 2021 An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085Kabluchko, Zakhar 1 2019 Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010Kabluchko, Zakhar 1 2021 A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100Engelke, Sebastian; Kabluchko, Zakhar 1 2016 Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154Kabluchko, Zakhar 1 2012 The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003Gusakova, 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 Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. Zbl 1483.05158Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 1 2021 Positive hulls of random walks and bridges. Zbl 1486.52008Godland, Thomas; Kabluchko, Zakhar 1 2022 Angle sums of Schläfli orthoschemes. Zbl 1490.60030Godland, Thomas; Kabluchko, Zakhar 1 2022 Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 1 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. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003Gusakova, 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 Positive hulls of random walks and bridges. Zbl 1486.52008Godland, Thomas; Kabluchko, Zakhar 1 2022 Angle sums of Schläfli orthoschemes. Zbl 1490.60030Godland, Thomas; Kabluchko, Zakhar 1 2022 Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph 1 2022 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 7 2021 Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006Kabluchko, Zakhar 6 2021 The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007Kabluchko, Zakhar; Prochno, Joscha 4 2021 The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030Kabluchko, Zakhar; Thäle, Christoph 4 2021 Conical tessellations associated with Weyl chambers. Zbl 1473.52009Godland, Thomas; Kabluchko, Zakhar 3 2021 A new look at random projections of the cube and general product measures. Zbl 1473.60063Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 2 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. 2 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 Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010Kabluchko, Zakhar 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 14 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 7 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 4 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 3 2020 Angles of the Gaussian simplex. Zbl 1456.60043Kabluchko, Z.; Zaporozhets, D. 3 2020 Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030Kabluchko, Zakhar; Zaporozhets, Dmitry 2 2020 Expected number of real zeroes of random Taylor series. Zbl 1451.30016Flasche, Hendrik; Kabluchko, Zakhar 2 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 High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph 23 2019 Limit theorems for random simplices in high dimensions. Zbl 1456.52006Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph 18 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 17 2019 Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph 16 2019 Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander 11 2019 Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina 7 2019 Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003Kabluchko, Zakhar; Seidel, Hauke 3 2019 Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail 2 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 Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017Kabluchko, Zakhar; Zaporozhets, Dmitry 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 Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075Iksanov, Alexander; Kabluchko, Zakhar 1 2018 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019Hug, Daniel; Kabluchko, Zakhar 1 2018 Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry 20 2017 Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056Dombry, Clément; Kabluchko, Zakhar 15 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 General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning 8 2017 Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D. 5 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 18 2016 Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander 12 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 Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025Kabluchko, Zakhar; Zaporozhets, Dmitry 8 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 21 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 6 2015 Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008Kabluchko, Zakhar; Zaporozhets, Dmitry 36 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. 4 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. 13 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 128 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 Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063Kabluchko, Zakhar; Munk, Axel 9 2008 An Erdős-Rényi law for mixing processes. Zbl 1125.60023Denker, Manfred; Kabluchko, Zakhar 12 2007 The generalized CCR: representations and enveloping \(C^ *\)-algebra. Zbl 1090.46053Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A. 1 2003 On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050Kabluchko, Zakhar A. 3 2001 all cited Publications top 5 cited Publications all top 5 Cited by 503 Authors 74 Kabluchko, Zakhar A. 27 Thäle, Christoph 26 Hashorva, Enkelejd 18 Prochno, Joscha 17 Iksanov, Aleksander M. 15 Marynych, Alexander V. 13 Zaporozhets, Dmitry 11 Schlather, Martin 11 Wang, Yizao 10 Huser, Raphaël 10 Stoev, Stilian A. 9 Engelke, Sebastian 9 Gao, Zhiqiang 9 Oesting, Marco 9 Tan, Zhongquan 8 Dębicki, Krzysztof 8 Dombry, Clément 8 Molchanov, Ilya S. 7 Munk, Axel 7 Sanna, Carlo 7 Strokorb, Kirstin 6 Vysotsky, Vladislav V. 5 Davis, Richard A. 5 Godland, Thomas 5 Gusakova, Anna Grigorevna 5 Klüppelberg, Claudia 5 Lifshits, Mikhail A. 5 Mikosch, Thomas 5 Opitz, Thomas 5 Peng, Zuoxiang 5 Poly, Guillaume 5 Pritsker, Igor E. 5 Robert, Christian Yann 5 Segers, Johan 5 Takahasi, Hiroki 4 Alonso-Gutiérrez, David 4 Angst, Jürgen 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 Temesvari, Daniel 4 Weng, Zhichao 3 Abu-Awwad, Abdul-Fattah 3 Arias-Castro, Ery 3 Besau, Florian 3 Buhl, Sven 3 Buraczewski, Dariusz 3 Davies, Patrick Laurie 3 Eyi-Minko, Frédéric 3 Frick, Klaus 3 Gaetan, Carlo 3 Götze, Friedrich 3 Johnston, Samuel G. G. 3 Kolesko, Konrad 3 Krupskii, Pavel 3 Kuba, Markus F. 3 Lacoin, Hubert 3 Liao, Xin 3 Löwe, Matthias 3 Marnitz, Philipp 3 Maume-Deschamps, Véronique 3 Nguyen, Oanh 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 Schubert, Kristina 3 Shaby, Benjamin A. 3 So, Mike K. P. 3 Soulier, Philippe 3 Steinerberger, Stefan 3 Sulzbach, Henning 2 Aljubran, Hanan 2 Baci, Anastas 2 Ballani, Felix 2 Bayraktar, Turgay 2 Beneš, Viktor 2 Beranger, Boris 2 Bissantz, Nicolai 2 Bloom, Thomas 2 Bonnet, Gilles 2 Chan, Raymond K. S. 2 Chasapis, Giorgos 2 Chown, Justin 2 Cooley, Daniel S. 2 Damek, Ewa 2 Dauvergne, Duncan 2 Dette, Holger 2 Dieker, A. B. 2 Do, Yen Q. ...and 403 more Authors all top 5 Cited in 123 Serials 39 Extremes 32 Stochastic Processes and their Applications 18 Electronic Journal of Probability 18 Bernoulli 17 Journal of Mathematical Analysis and Applications 15 Statistics & Probability Letters 14 Journal of Applied Probability 12 Advances in Applied Probability 12 Transactions of the American Mathematical Society 9 Advances in Mathematics 9 The Annals of Probability 9 Proceedings of the American Mathematical Society 8 Journal of Multivariate Analysis 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Journal of Theoretical Probability 6 Journal of the American Statistical Association 6 Discrete & Computational Geometry 6 The Annals of Applied Probability 6 Electronic Journal of Statistics 5 The Annals of Statistics 5 Journal of Approximation Theory 5 Probability Theory and Related Fields 5 Statistical Science 5 Computational Statistics and Data Analysis 5 Electronic Communications in Probability 5 The Annals of Applied Statistics 4 Journal of Functional Analysis 4 Journal of Mathematical Imaging and Vision 4 Communications in Contemporary Mathematics 4 Methodology and Computing in Applied Probability 4 Journal of Agricultural, Biological, and Environmental Statistics 4 Modern Stochastics. Theory and Applications 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Lithuanian Mathematical Journal 3 Scandinavian Journal of Statistics 3 Studia Mathematica 3 Journal of Statistical Planning and Inference 3 Probability and Mathematical Statistics 3 Journal of Mathematical Sciences (New York) 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Journal of Computational and Graphical Statistics 3 Random Matrices: Theory and Applications 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Number Theory 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Communications in Statistics. Theory and Methods 2 Journal of Statistical Computation and Simulation 2 Indagationes Mathematicae. New Series 2 Potential Analysis 2 Theory of Probability and Mathematical Statistics 2 St. Petersburg Mathematical Journal 2 Stochastics and Dynamics 2 Computational Methods and Function Theory 2 Journal of Statistical Mechanics: Theory and Experiment 2 Science China. Mathematics 2 Statistics and Computing 2 Annales Henri Lebesgue 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Mathematische Nachrichten 1 Mathematika 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 Random Structures & Algorithms 1 Geometric and Functional Analysis. 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 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 1 Statistical Inference for Stochastic Processes 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Scandinavian Actuarial Journal 1 Advances in Geometry 1 Journal of the Australian Mathematical Society ...and 23 more Serials all top 5 Cited in 36 Fields 349 Probability theory and stochastic processes (60-XX) 110 Statistics (62-XX) 68 Convex and discrete geometry (52-XX) 37 Functions of a complex variable (30-XX) 22 Real functions (26-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Functional analysis (46-XX) 19 Number theory (11-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Computer science (68-XX) 11 Geophysics (86-XX) 10 Numerical analysis (65-XX) 9 Combinatorics (05-XX) 9 Operator theory (47-XX) 7 Geometry (51-XX) 7 Differential geometry (53-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 6 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral transforms, operational calculus (44-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-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 Integral equations (45-XX) Citations by Year