## Kabluchko, Zakhar A.

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 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: 106 Publications since 2001 Reviewing Activity: 92 Reviews Co-Authors: 56 Co-Authors with 90 Joint Publications 1,267 Co-Co-Authors
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### Co-Authors

 16 single-authored 19 Thäle, Christoph 14 Zaporozhets, Dmitry 11 Marynych, Alexander V. 10 Prochno, Joscha 9 Iksanov, Aleksander M. 7 Schlather, Martin 5 Engelke, Sebastian 5 Godland, Thomas 5 Vysotsky, Vladislav V. 4 Alsmeyer, Gerold 3 Gusakova, Anna Grigorevna 3 Lifshits, Mikhail A. 3 Löwe, Matthias 3 Munk, Axel 3 Schubert, Kristina 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 Alonso-Gutiérrez, David 1 Baci, Anastas 1 Ballani, Felix 1 Besau, Florian 1 Davies, Patrick Laurie 1 de Haan, Laurens 1 Denker, Manfred 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 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
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### Serials

 10 Stochastic Processes and their Applications 6 Bernoulli 5 Electronic Journal of Probability 5 Extremes 4 Advances in Mathematics 4 The Annals of Probability 4 Journal of Applied Probability 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 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 Advances in Applied Probability 3 Statistics & Probability Letters 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 2 Probability Theory and Related Fields 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Canadian Journal of Mathematics 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Mathematika 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 Modern Stochastics. Theory and Applications
all top 5

### Fields

 99 Probability theory and stochastic processes (60-XX) 36 Convex and discrete geometry (52-XX) 10 Functional analysis (46-XX) 8 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 6 Number theory (11-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-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 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

91 Publications have been cited 773 times in 418 Documents Cited by Year
Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051
Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens
2009
Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008
Kabluchko, Zakhar; Zaporozhets, Dmitry
2014
Spectral representations of sum- and max-stable processes. Zbl 1224.60120
Kabluchko, Zakhar
2009
Simulation of Brown-Resnick processes. Zbl 1329.60157
Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin
2012
Extremes of independent Gaussian processes. Zbl 1329.60152
Kabluchko, Zakhar
2011
Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101
Kabluchko, Zakhar; Schlather, Martin
2010
Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038
Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin
2015
Extremes of the standardized Gaussian noise. Zbl 1225.60084
Kabluchko, Zakhar
2011
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065
Kabluchko, Zakhar; Stoev, Stilian
2016
High-dimensional limit theorems for random vectors in $$\ell_p^n$$-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
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
2019
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
2019
Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056
Dombry, Clément; Kabluchko, Zakhar
2017
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
2019
Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008
Kabluchko, Zakhar
2015
Extremes of independent chi-square random vectors. Zbl 1329.60028
Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim
2012
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
An Erdős-Rényi law for mixing processes. Zbl 1125.60023
Denker, Manfred; Kabluchko, Zakhar
2007
An equivalent representation of the Brown-Resnick process. Zbl 1234.60056
Engelke, S.; Kabluchko, Z.; Schlather, M.
2011
Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116
Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel
2012
Beta polytopes and Poisson polyhedra: $$f$$-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
2020
Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036
Kabluchko, Zakhar
2012
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2019
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
2017
Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063
Kabluchko, Zakhar; Munk, Axel
2008
Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073
Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin
2015
Random tessellations associated with max-stable random fields. Zbl 1388.60092
Dombry, Clément; Kabluchko, Zakhar
2018
Complex random energy model: zeros and fluctuations. Zbl 1292.60052
Kabluchko, Zakhar; Klimovsky, Anton
2014
Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074
Kabluchko, Zakhar; Wang, Yizao
2014
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
2016
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
2017
Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014
Kabluchko, Zakhar; Munk, Axel
2009
Stationary systems of Gaussian processes. Zbl 1230.60054
Kabluchko, Zakhar
2010
Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019
Kabluchko, Zakhar; Zaporozhets, Dmitry
2013
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025
Kabluchko, Zakhar; Zaporozhets, Dmitry
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
2016
General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2017
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
High-dimensional limit theorems for random vectors in $$\ell_p^n$$-balls. II. Zbl 1475.60061
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2021
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010
Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D.
2017
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065
Engelke, Sebastian; Kabluchko, Zakhar
2015
Random marked sets. Zbl 1266.60091
Ballani, F.; Kabluchko, Z.; Schlather, M.
2012
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007
Kabluchko, Zakhar; Prochno, Joscha
2021
Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
2019
Extremes of space-time Gaussian processes. Zbl 1181.60075
Kabluchko, Zakhar
2009
Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017
Flasche, Hendrik; Kabluchko, Zakhar
2020
Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056
Kabluchko, Zakhar
2011
Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174
Kabluchko, Zakhar; Marynych, Alexander
2016
Angle sums of random simplices in dimensions $$3$$ and $$4$$. Zbl 1441.52006
Kabluchko, Zakhar
2020
Angles of the Gaussian simplex. Zbl 1456.60043
Kabluchko, Z.; Zaporozhets, D.
2020
Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006
Kabluchko, Zakhar
2021
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003
Kabluchko, Zakhar; Seidel, Hauke
2019
Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010
Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry
2017
Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324
Kabluchko, Zakhar
2009
Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016
Kabluchko, Zakhar; Spodarev, Evgeny
2009
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038
Zaporozhets, D.; Kabluchko, Z.
2014
Conical tessellations associated with Weyl chambers. Zbl 1473.52009
Godland, Thomas; Kabluchko, Zakhar
2021
On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050
Kabluchko, Zakhar A.
2001
Least energy approximation for processes with stationary increments. Zbl 1419.60030
Kabluchko, Zakhar; Lifshits, Mikhail
2017
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.
2021
Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055
Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail
2019
Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031
Iksanov, Alexander; Kabluchko, Zakhar
2018
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
2019
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
2018
Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017
Kabluchko, Zakhar; Zaporozhets, Dmitry
2019
Monotonicity of expected $$f$$-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
2018
A leader-election procedure using records. Zbl 1392.60025
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2017
The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030
Kabluchko, Zakhar; Thäle, Christoph
2021
Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040
Kabluchko, Zakhar
2012
How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav
2020
A new look at random projections of the cube and general product measures. Zbl 1473.60063
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2021
Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030
Kabluchko, Zakhar; Zaporozhets, Dmitry
2020
Angle sums of Schläfli orthoschemes. Zbl 1490.60030
Godland, Thomas; Kabluchko, Zakhar
2022
Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075
Iksanov, Alexander; Kabluchko, Zakhar
2018
Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061
Kabluchko, Z. A.; Lifshits, M. A.
2019
An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085
Kabluchko, Zakhar
2019
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2018
The generalized CCR: representations and enveloping $$C^ *$$-algebra. Zbl 1090.46053
Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A.
2003
Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010
Kabluchko, Zakhar
2021
Leader election using random walks. Zbl 1355.60057
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2016
Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154
Kabluchko, Zakhar
2012
A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100
Engelke, Sebastian; Kabluchko, Zakhar
2016
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2016
Expected number of real zeroes of random Taylor series. Zbl 1451.30016
Flasche, Hendrik; Kabluchko, Zakhar
2020
Faces in random great hypersphere tessellations. Zbl 1473.52011
Kabluchko, Zakhar; Thäle, Christoph
2021
The $$\beta$$-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
2022
Angle sums of Schläfli orthoschemes. Zbl 1490.60030
Godland, Thomas; Kabluchko, Zakhar
2022
The $$\beta$$-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
2022
High-dimensional limit theorems for random vectors in $$\ell_p^n$$-balls. II. Zbl 1475.60061
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2021
The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007
Kabluchko, Zakhar; Prochno, Joscha
2021
Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006
Kabluchko, Zakhar
2021
Conical tessellations associated with Weyl chambers. Zbl 1473.52009
Godland, Thomas; Kabluchko, Zakhar
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.
2021
The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030
Kabluchko, Zakhar; Thäle, Christoph
2021
A new look at random projections of the cube and general product measures. Zbl 1473.60063
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2021
Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010
Kabluchko, Zakhar
2021
Faces in random great hypersphere tessellations. Zbl 1473.52011
Kabluchko, Zakhar; Thäle, Christoph
2021
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
Beta polytopes and Poisson polyhedra: $$f$$-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
2020
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017
Flasche, Hendrik; Kabluchko, Zakhar
2020
Angle sums of random simplices in dimensions $$3$$ and $$4$$. Zbl 1441.52006
Kabluchko, Zakhar
2020
Angles of the Gaussian simplex. Zbl 1456.60043
Kabluchko, Z.; Zaporozhets, D.
2020
How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav
2020
Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030
Kabluchko, Zakhar; Zaporozhets, Dmitry
2020
Expected number of real zeroes of random Taylor series. Zbl 1451.30016
Flasche, Hendrik; Kabluchko, Zakhar
2020
High-dimensional limit theorems for random vectors in $$\ell_p^n$$-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
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
2019
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
2019
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
2019
Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2019
Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
2019
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003
Kabluchko, Zakhar; Seidel, Hauke
2019
Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055
Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail
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
2019
Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017
Kabluchko, Zakhar; Zaporozhets, Dmitry
2019
Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061
Kabluchko, Z. A.; Lifshits, M. A.
2019
An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085
Kabluchko, Zakhar
2019
Random tessellations associated with max-stable random fields. Zbl 1388.60092
Dombry, Clément; Kabluchko, Zakhar
2018
Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031
Iksanov, Alexander; Kabluchko, Zakhar
2018
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
2018
Monotonicity of expected $$f$$-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
2018
Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075
Iksanov, Alexander; Kabluchko, Zakhar
2018
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2018
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056
Dombry, Clément; Kabluchko, Zakhar
2017
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
2017
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
2017
Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2017
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010
Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D.
2017
Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010
Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry
2017
Least energy approximation for processes with stationary increments. Zbl 1419.60030
Kabluchko, Zakhar; Lifshits, Mikhail
2017
A leader-election procedure using records. Zbl 1392.60025
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2017
Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065
Kabluchko, Zakhar; Stoev, Stilian
2016
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
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
2016
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025
Kabluchko, Zakhar; Zaporozhets, Dmitry
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
2016
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174
Kabluchko, Zakhar; Marynych, Alexander
2016
Leader election using random walks. Zbl 1355.60057
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2016
A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100
Engelke, Sebastian; Kabluchko, Zakhar
2016
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2016
Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038
Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin
2015
Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008
Kabluchko, Zakhar
2015
Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073
Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin
2015
Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065
Engelke, Sebastian; Kabluchko, Zakhar
2015
Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008
Kabluchko, Zakhar; Zaporozhets, Dmitry
2014
Complex random energy model: zeros and fluctuations. Zbl 1292.60052
Kabluchko, Zakhar; Klimovsky, Anton
2014
Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074
Kabluchko, Zakhar; Wang, Yizao
2014
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038
Zaporozhets, D.; Kabluchko, Z.
2014
Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019
Kabluchko, Zakhar; Zaporozhets, Dmitry
2013
Simulation of Brown-Resnick processes. Zbl 1329.60157
Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin
2012
Extremes of independent chi-square random vectors. Zbl 1329.60028
Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim
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
2012
Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036
Kabluchko, Zakhar
2012
Random marked sets. Zbl 1266.60091
Ballani, F.; Kabluchko, Z.; Schlather, M.
2012
Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040
Kabluchko, Zakhar
2012
Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154
Kabluchko, Zakhar
2012
Extremes of independent Gaussian processes. Zbl 1329.60152
Kabluchko, Zakhar
2011
Extremes of the standardized Gaussian noise. Zbl 1225.60084
Kabluchko, Zakhar
2011
An equivalent representation of the Brown-Resnick process. Zbl 1234.60056
Engelke, S.; Kabluchko, Z.; Schlather, M.
2011
Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056
Kabluchko, Zakhar
2011
Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101
Kabluchko, Zakhar; Schlather, Martin
2010
Stationary systems of Gaussian processes. Zbl 1230.60054
Kabluchko, Zakhar
2010
Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051
Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens
2009
Spectral representations of sum- and max-stable processes. Zbl 1224.60120
Kabluchko, Zakhar
2009
Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014
Kabluchko, Zakhar; Munk, Axel
2009
Extremes of space-time Gaussian processes. Zbl 1181.60075
Kabluchko, Zakhar
2009
Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324
Kabluchko, Zakhar
2009
Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016
Kabluchko, Zakhar; Spodarev, Evgeny
2009
Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063
Kabluchko, Zakhar; Munk, Axel
2008
An Erdős-Rényi law for mixing processes. Zbl 1125.60023
Denker, Manfred; Kabluchko, Zakhar
2007
The generalized CCR: representations and enveloping $$C^ *$$-algebra. Zbl 1090.46053
Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A.
2003
On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050
Kabluchko, Zakhar A.
2001
all top 5

### Cited by 478 Authors

 69 Kabluchko, Zakhar A. 26 Hashorva, Enkelejd 25 Thäle, Christoph 18 Prochno, Joscha 15 Iksanov, Aleksander M. 14 Marynych, Alexander V. 13 Zaporozhets, Dmitry 11 Schlather, Martin 11 Wang, Yizao 10 Stoev, Stilian A. 9 Engelke, Sebastian 9 Gao, Zhiqiang 9 Huser, Raphaël 9 Oesting, Marco 9 Tan, Zhongquan 8 Dębicki, Krzysztof 8 Dombry, Clément 8 Molchanov, Ilya S. 7 Munk, Axel 7 Strokorb, Kirstin 6 Sanna, Carlo 6 Vysotsky, Vladislav V. 5 Davis, Richard A. 5 Klüppelberg, Claudia 5 Opitz, Thomas 5 Peng, Zuoxiang 5 Pritsker, Igor E. 5 Robert, Christian Yann 5 Segers, Johan 5 Takahasi, Hiroki 4 Alonso-Gutiérrez, David 4 Bacro, Jean-Noël 4 Davison, Anthony C. 4 Genton, Marc G. 4 Godland, Thomas 4 Gusakova, Anna Grigorevna 4 Hintermüller, Michael 4 Hug, Daniel 4 Koch, Erwan 4 Lifshits, Mikhail A. 4 Liu, Quansheng 4 Meiners, Matthias 4 Mikosch, Thomas 4 Padoan, Simone A. 4 Poly, Guillaume 4 Roy, Parthanil 4 Temesvari, Daniel 4 Weng, Zhichao 3 Abu-Awwad, Abdul-Fattah 3 Angst, Jürgen 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 Lacoin, Hubert 3 Liao, Xin 3 Marnitz, Philipp 3 Maume-Deschamps, Véronique 3 Nguyen, Oanh 3 Račkauskas, Alfredas Yurgevich 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 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 Dauvergne, Duncan 2 Dette, Holger 2 Dieker, A. B. 2 Do, Yen Q. 2 Einmahl, John H. J. 2 Falk, Michael 2 Flasche, Hendrik 2 Grote, Julian 2 Hinrichs, Aicke 2 Ibragimov, Il’dar Abdullovich ...and 378 more Authors
all top 5

### Cited in 120 Serials

 39 Extremes 30 Stochastic Processes and their Applications 17 Electronic Journal of Probability 17 Bernoulli 15 Journal of Mathematical Analysis and Applications 15 Statistics & Probability Letters 13 Journal of Applied Probability 11 Advances in Applied Probability 11 Transactions of the American Mathematical Society 9 The Annals of Probability 8 Advances in Mathematics 8 Journal of Multivariate Analysis 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Proceedings of the American Mathematical Society 7 Journal of Theoretical Probability 6 Journal of the American Statistical Association 6 Discrete & Computational Geometry 5 The Annals of Statistics 5 Journal of Approximation Theory 5 Statistical Science 5 The Annals of Applied Probability 5 Computational Statistics and Data Analysis 5 Electronic Communications in Probability 5 Electronic Journal of Statistics 5 The Annals of Applied Statistics 4 Probability Theory and Related Fields 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 Functional Analysis 3 Journal of Statistical Planning and Inference 3 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 Potential Analysis 2 Theory of Probability and Mathematical Statistics 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Stochastics and Dynamics 2 Computational Methods and Function Theory 2 Journal of Statistical Mechanics: Theory and Experiment 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Science China. Mathematics 2 Statistics and Computing 2 Annales Henri Lebesgue 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 Indagationes Mathematicae. New Series 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 1 Acta Mathematica Scientia. Series A. (Chinese Edition) ...and 20 more Serials
all top 5

### Cited in 36 Fields

 327 Probability theory and stochastic processes (60-XX) 107 Statistics (62-XX) 63 Convex and discrete geometry (52-XX) 35 Functions of a complex variable (30-XX) 21 Real functions (26-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Number theory (11-XX) 19 Functional analysis (46-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Computer science (68-XX) 10 Numerical analysis (65-XX) 10 Geophysics (86-XX) 8 Operator theory (47-XX) 7 Combinatorics (05-XX) 7 Geometry (51-XX) 6 Partial differential equations (35-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral transforms, operational calculus (44-XX) 5 Differential geometry (53-XX) 5 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-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 Operations research, mathematical programming (90-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 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX)