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Kabluchko, Zakhar A.

Author ID: kabluchko.zakhar-a Recent zbMATH articles by "Kabluchko, Zakhar A."
Published as: Kabluchko, Zakhar; Kabluchko, Z.; Kabluchko, Zakhar A.; Kabluchko, Z. A.
Homepage: https://www.uni-muenster.de/Stochastik/Arbeitsgruppen/Kabluchko/
External Links: MGP · ORCID · Google Scholar · Math-Net.Ru · GND
Documents Indexed: 153 Publications since 2001, including 26 Additional arXiv Preprints
Reviewing Activity: 98 Reviews
Co-Authors: 73 Co-Authors with 128 Joint Publications
1,760 Co-Co-Authors
all top 5

Co-Authors

25 single-authored
26 Thäle, Christoph
19 Marynych, Alexander V.
17 Zaporozhets, Dmitry
14 Prochno, Joscha
11 Iksanov, Aleksander M.
9 Godland, Thomas
7 Schlather, Martin
6 Gusakova, Anna Grigorevna
6 Löwe, Matthias
5 Alsmeyer, Gerold
5 Engelke, Sebastian
5 Vysotsky, Vladislav V.
4 Jalowy, Jonas
4 Schubert, Kristina
3 Hall, Brian C.
3 Ho, Ching Wei
3 Lifshits, Mikhail A.
3 Munk, Axel
3 Temesvari, Daniel
2 Dombry, Clément
2 Flasche, Hendrik
2 Götze, Friedrich
2 Grote, Julian
2 Grübel, Rudolf
2 Klimovsky, Anton
2 Kotelnikova, Valeriya
2 Proskurin, Daniil P.
2 Raschel, Kilian
2 Rosen, Daniel
2 Seidel, Hauke
2 Sonnleitner, Mathias
2 Sulzbach, Henning
2 Tent, Katrin
2 Wigman, Igor
2 Wübker, Achim
1 Aistleitner, Christoph
1 Alonso-Gutiérrez, David
1 Baci, Anastas
1 Ballani, Felix
1 Besau, Florian
1 Bonnet, Gilles
1 Davies, Patrick Laurie
1 de Haan, Laurens
1 Denker, Manfred
1 Gantert, Nina
1 Hashorva, Enkelejd
1 Hoskins, Jeremy G.
1 Hotz, Thomas
1 Hug, Daniel
1 Ibragimov, Il’dar Abdullovich
1 Johnston, Samuel G. G.
1 Juhos, Michael
1 Kim, Chesoong
1 Last, Günter
1 Litvak, Aleksandr Evgen’evich
1 Malinowski, Alexander
1 Marnitz, Philipp
1 Molchanov, Ilya S.
1 Oesting, Marco
1 Pitters, Helmut H.
1 Ramanan, Kavita
1 Reitzner, Matthias
1 Samoĭlenko, Yuriĭ Stefanovych
1 Sartori, Andrea
1 Shevchenko, Georgiy M.
1 Spodarev, Evgueni
1 Steigenberger, David Albert
1 Stichtenoth, Rahel
1 Stoev, Stilian A.
1 Turchi, Nicola
1 Vritsiou, Beatrice-Helen
1 Wang, Yizao
1 Werner, Elisabeth M.
all top 5

Serials

10 Stochastic Processes and their Applications
6 Electronic Journal of Probability
6 Bernoulli
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Discrete & Computational Geometry
5 Journal of Mathematical Sciences (New York)
5 Extremes
4 Advances in Applied Probability
4 Advances in Mathematics
4 The Annals of Probability
4 Journal of Applied Probability
4 The Annals of Applied Probability
4 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 Journal of Number Theory
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Advances in Applied Mathematics
1 Probability and Mathematical Statistics
1 Random Structures & Algorithms
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Computational Statistics and Data Analysis
1 Experimental Mathematics
1 Izvestiya: Mathematics
1 Methods of Functional Analysis and Topology
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 Journal of Integer Sequences
1 Advances in Geometry
1 Theory of Stochastic Processes
1 Stochastics and Dynamics
1 Journal of Physics A: Mathematical and Theoretical
1 Modern Stochastics. Theory and Applications
1 Discrete Analysis

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 1,051 times in 532 Documents Cited by Year
Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051
Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens
136
2009
Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008
Kabluchko, Zakhar; Zaporozhets, Dmitry
40
2014
Spectral representations of sum- and max-stable processes. Zbl 1224.60120
Kabluchko, Zakhar
35
2009
Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038
Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin
33
2015
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
29
2019
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
28
2017
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
28
2019
Simulation of Brown-Resnick processes. Zbl 1329.60157
Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin
27
2012
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
26
2019
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
25
2019
Extremes of independent Gaussian processes. Zbl 1329.60152
Kabluchko, Zakhar
23
2011
Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101
Kabluchko, Zakhar; Schlather, Martin
22
2010
Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
21
2020
Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065
Kabluchko, Zakhar; Stoev, Stilian
20
2016
Extremes of the standardized Gaussian noise. Zbl 1225.60084
Kabluchko, Zakhar
19
2011
Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008
Kabluchko, Zakhar
17
2015
Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056
Dombry, Clément; Kabluchko, Zakhar
17
2017
Extremes of independent chi-square random vectors. Zbl 1329.60028
Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim
15
2012
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
15
2020
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
14
2016
An equivalent representation of the Brown-Resnick process. Zbl 1234.60056
Engelke, S.; Kabluchko, Z.; Schlather, M.
13
2011
An Erdős-Rényi law for mixing processes. Zbl 1125.60023
Denker, Manfred; Kabluchko, Zakhar
13
2007
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
12
2017
Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
12
2017
Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
12
2019
Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036
Kabluchko, Zakhar
11
2012
General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
11
2017
Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116
Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel
11
2012
Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073
Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin
10
2015
Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006
Kabluchko, Zakhar
10
2021
Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
10
2019
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025
Kabluchko, Zakhar; Zaporozhets, Dmitry
10
2016
Complex random energy model: zeros and fluctuations. Zbl 1292.60052
Kabluchko, Zakhar; Klimovsky, Anton
10
2014
Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063
Kabluchko, Zakhar; Munk, Axel
9
2008
Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074
Kabluchko, Zakhar; Wang, Yizao
9
2014
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
9
2017
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
9
2016
Random tessellations associated with max-stable random fields. Zbl 1388.60092
Dombry, Clément; Kabluchko, Zakhar
9
2018
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
9
2021
Phase transition for the volume of high-dimensional random polytopes. Zbl 07749470
Bonnet, Gilles; Kabluchko, Zakhar; Turchi, Nicola
8
2021
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
8
2020
Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006
Kabluchko, Zakhar
8
2020
Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014
Kabluchko, Zakhar; Munk, Axel
7
2009
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010
Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D.
7
2017
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038
Zaporozhets, D.; Kabluchko, Z.
7
2014
A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028
Grübel, Rudolf; Kabluchko, Zakhar
7
2016
The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030
Kabluchko, Zakhar; Thäle, Christoph
7
2021
Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019
Kabluchko, Zakhar; Zaporozhets, Dmitry
7
2013
Stationary systems of Gaussian processes. Zbl 1230.60054
Kabluchko, Zakhar
7
2010
Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030
Kabluchko, Zakhar; Zaporozhets, Dmitry
7
2020
The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007
Kabluchko, Zakhar; Prochno, Joscha
7
2021
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003
Kabluchko, Zakhar; Seidel, Hauke
6
2019
Expected \(f\)-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Zbl 07731202
Kabluchko, Zakhar
6
2020
Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010
Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry
5
2017
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
5
2016
Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065
Engelke, Sebastian; Kabluchko, Zakhar
5
2015
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
5
2020
Angles of the Gaussian simplex. Zbl 1456.60043
Kabluchko, Z.; Zaporozhets, D.
5
2020
Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005
Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E.
5
2021
Random marked sets. Zbl 1266.60091
Ballani, F.; Kabluchko, Z.; Schlather, M.
5
2012
A new look at random projections of the cube and general product measures. Zbl 1473.60063
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
5
2021
Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010
Kabluchko, Zakhar
5
2021
Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017
Kabluchko, Zakhar; Zaporozhets, Dmitry
5
2019
Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056
Kabluchko, Zakhar
4
2011
On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050
Kabluchko, Zakhar A.
4
2001
Extremes of space-time Gaussian processes. Zbl 1181.60075
Kabluchko, Zakhar
4
2009
Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174
Kabluchko, Zakhar; Marynych, Alexander
4
2016
Least energy approximation for processes with stationary increments. Zbl 1419.60030
Kabluchko, Zakhar; Lifshits, Mikhail
4
2017
Angle sums of Schläfli orthoschemes. Zbl 1490.60030
Godland, Thomas; Kabluchko, Zakhar
4
2022
Expected number of real zeroes of random Taylor series. Zbl 1451.30016
Flasche, Hendrik; Kabluchko, Zakhar
4
2020
How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav
4
2020
Conical tessellations associated with Weyl chambers. Zbl 1473.52009
Godland, Thomas; Kabluchko, Zakhar
4
2021
Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017
Flasche, Hendrik; Kabluchko, Zakhar
4
2020
Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324
Kabluchko, Zakhar
3
2009
Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016
Kabluchko, Zakhar; Spodarev, Evgeny
3
2009
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
3
2016
Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
3
2018
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
3
2018
Beta-star polytopes and hyperbolic stochastic geometry. Zbl 1490.60031
Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph
3
2022
Yet another note on the arithmetic-geometric mean inequality. Zbl 1453.60071
Kabluchko, Zakhar; Prochno, Joscha; Vysotsky, Vladislav
3
2020
Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055
Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail
3
2019
The \(\beta\)-Delaunay tessellation: description of the model and geometry of typical cells. Zbl 1503.60014
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
3
2022
Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007
Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph
3
2022
Faces in random great hypersphere tessellations. Zbl 1473.52011
Kabluchko, Zakhar; Thäle, Christoph
3
2021
A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Zbl 1442.60021
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
3
2019
Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154
Kabluchko, Zakhar
2
2012
A leader-election procedure using records. Zbl 1392.60025
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2
2017
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2
2018
Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040
Kabluchko, Zakhar
2
2012
A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. Zbl 1479.60028
Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya
2
2022
Grassmann angles and absorption probabilities of Gaussian convex hulls. Zbl 1523.60033
Götze, F.; Kabluchko, Z.; Zaporozhets, D.
2
2023
Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Zbl 1526.60012
Kabluchko, Zakhar; Marynych, Alexander
2
2022
Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. Zbl 1519.82014
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
2
2020
The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
2
2022
Positive hulls of random walks and bridges. Zbl 1486.52008
Godland, Thomas; Kabluchko, Zakhar
2
2022
An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085
Kabluchko, Zakhar
2
2019
Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Zbl 1494.82022
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
2
2022
Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031
Iksanov, Alexander; Kabluchko, Zakhar
2
2018
The generalized CCR: representations and enveloping \(C^ *\)-algebra. Zbl 1090.46053
Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A.
1
2003
Leader election using random walks. Zbl 1355.60057
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
1
2016
Grassmann angles and absorption probabilities of Gaussian convex hulls. Zbl 1523.60033
Götze, F.; Kabluchko, Z.; Zaporozhets, D.
2
2023
On expected face numbers of random beta and beta’ polytopes. Zbl 1509.52005
Kabluchko, Zakhar
1
2023
Projections and angle sums of belt polytopes and permutohedra. Zbl 1528.52005
Godland, Thomas; Kabluchko, Zakhar
1
2023
Angle sums of Schläfli orthoschemes. Zbl 1490.60030
Godland, Thomas; Kabluchko, Zakhar
4
2022
Beta-star polytopes and hyperbolic stochastic geometry. Zbl 1490.60031
Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph
3
2022
The \(\beta\)-Delaunay tessellation: description of the model and geometry of typical cells. Zbl 1503.60014
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
3
2022
Random cones in high dimensions. I: Donoho-Tanner and Cover-Efron cones. Zbl 1505.52007
Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph
3
2022
A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. Zbl 1479.60028
Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya
2
2022
Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Zbl 1526.60012
Kabluchko, Zakhar; Marynych, Alexander
2
2022
The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
2
2022
Positive hulls of random walks and bridges. Zbl 1486.52008
Godland, Thomas; Kabluchko, Zakhar
2
2022
Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Zbl 1494.82022
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
2
2022
Convex cones spanned by regular polytopes. Zbl 1486.52009
Kabluchko, Zakhar; Seidel, Hauke
1
2022
The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation. Zbl 1491.60019
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
1
2022
Angles of random simplices and face numbers of random polytopes. Zbl 1457.52006
Kabluchko, Zakhar
10
2021
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
9
2021
Phase transition for the volume of high-dimensional random polytopes. Zbl 07749470
Bonnet, Gilles; Kabluchko, Zakhar; Turchi, Nicola
8
2021
The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030
Kabluchko, Zakhar; Thäle, Christoph
7
2021
The maximum entropy principle and volumetric properties of Orlicz balls. Zbl 1475.46007
Kabluchko, Zakhar; Prochno, Joscha
7
2021
Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005
Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E.
5
2021
A new look at random projections of the cube and general product measures. Zbl 1473.60063
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
5
2021
Recursive scheme for angles of random simplices, and applications to random polytopes. Zbl 1473.52010
Kabluchko, Zakhar
5
2021
Conical tessellations associated with Weyl chambers. Zbl 1473.52009
Godland, Thomas; Kabluchko, Zakhar
4
2021
Faces in random great hypersphere tessellations. Zbl 1473.52011
Kabluchko, Zakhar; Thäle, Christoph
3
2021
A new approach to weak convergence of random cones and polytopes. Zbl 1486.52010
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
1
2021
Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs. Zbl 1483.05158
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
1
2021
Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
21
2020
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
15
2020
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
8
2020
Angle sums of random simplices in dimensions \(3\) and \(4\). Zbl 1441.52006
Kabluchko, Zakhar
8
2020
Absorption probabilities for Gaussian polytopes and regular spherical simplices. Zbl 1473.60030
Kabluchko, Zakhar; Zaporozhets, Dmitry
7
2020
Expected \(f\)-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Zbl 07731202
Kabluchko, Zakhar
6
2020
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
5
2020
Angles of the Gaussian simplex. Zbl 1456.60043
Kabluchko, Z.; Zaporozhets, D.
5
2020
Expected number of real zeroes of random Taylor series. Zbl 1451.30016
Flasche, Hendrik; Kabluchko, Zakhar
4
2020
How long is the convex minorant of a one-dimensional random walk? Zbl 1459.60056
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander; Vysotsky, Vladislav
4
2020
Real zeroes of random analytic functions associated with geometries of constant curvature. Zbl 1439.30017
Flasche, Hendrik; Kabluchko, Zakhar
4
2020
Yet another note on the arithmetic-geometric mean inequality. Zbl 1453.60071
Kabluchko, Zakhar; Prochno, Joscha; Vysotsky, Vladislav
3
2020
Fluctuations of the magnetization for Ising models on Erdős-Rényi random graphs – the regimes of small \(p\) and the critical temperature. Zbl 1519.82014
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
2
2020
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
29
2019
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
28
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
26
2019
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
25
2019
Limit theorems for the least common multiple of a random set of integers. Zbl 1473.60052
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
12
2019
Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
10
2019
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003
Kabluchko, Zakhar; Seidel, Hauke
6
2019
Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 1481.60017
Kabluchko, Zakhar; Zaporozhets, Dmitry
5
2019
Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055
Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail
3
2019
A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Zbl 1442.60021
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
3
2019
An infinite-dimensional helix invariant under spherical projections. Zbl 1488.60085
Kabluchko, Zakhar
2
2019
Adaptive energy-saving approximation for stationary processes. Zbl 1423.60061
Kabluchko, Z. A.; Lifshits, M. A.
1
2019
Random tessellations associated with max-stable random fields. Zbl 1388.60092
Dombry, Clément; Kabluchko, Zakhar
9
2018
Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
3
2018
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
3
2018
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2
2018
Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031
Iksanov, Alexander; Kabluchko, Zakhar
2
2018
Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075
Iksanov, Alexander; Kabluchko, Zakhar
1
2018
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
28
2017
Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056
Dombry, Clément; Kabluchko, Zakhar
17
2017
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
12
2017
Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
12
2017
General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
11
2017
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
9
2017
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010
Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D.
7
2017
Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010
Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry
5
2017
Least energy approximation for processes with stationary increments. Zbl 1419.60030
Kabluchko, Zakhar; Lifshits, Mikhail
4
2017
A leader-election procedure using records. Zbl 1392.60025
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2
2017
Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065
Kabluchko, Zakhar; Stoev, Stilian
20
2016
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
14
2016
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025
Kabluchko, Zakhar; Zaporozhets, Dmitry
10
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
9
2016
A functional central limit theorem for branching random walks, almost sure weak convergence and applications to random trees. Zbl 1367.60028
Grübel, Rudolf; Kabluchko, Zakhar
7
2016
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
5
2016
Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174
Kabluchko, Zakhar; Marynych, Alexander
4
2016
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
3
2016
Leader election using random walks. Zbl 1355.60057
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
1
2016
A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100
Engelke, Sebastian; Kabluchko, Zakhar
1
2016
Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038
Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin
33
2015
Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008
Kabluchko, Zakhar
17
2015
Maxima of independent, non-identically distributed Gaussian vectors. Zbl 1322.60073
Engelke, Sebastian; Kabluchko, Zakhar; Schlather, Martin
10
2015
Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065
Engelke, Sebastian; Kabluchko, Zakhar
5
2015
Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008
Kabluchko, Zakhar; Zaporozhets, Dmitry
40
2014
Complex random energy model: zeros and fluctuations. Zbl 1292.60052
Kabluchko, Zakhar; Klimovsky, Anton
10
2014
Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074
Kabluchko, Zakhar; Wang, Yizao
9
2014
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038
Zaporozhets, D.; Kabluchko, Z.
7
2014
Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019
Kabluchko, Zakhar; Zaporozhets, Dmitry
7
2013
Simulation of Brown-Resnick processes. Zbl 1329.60157
Oesting, Marco; Kabluchko, Zakhar; Schlather, Martin
27
2012
Extremes of independent chi-square random vectors. Zbl 1329.60028
Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim
15
2012
Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036
Kabluchko, Zakhar
11
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
11
2012
Random marked sets. Zbl 1266.60091
Ballani, F.; Kabluchko, Z.; Schlather, M.
5
2012
Persistence and equilibria of branching populations with exponential intensity. Zbl 1255.60154
Kabluchko, Zakhar
2
2012
Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040
Kabluchko, Zakhar
2
2012
Extremes of independent Gaussian processes. Zbl 1329.60152
Kabluchko, Zakhar
23
2011
Extremes of the standardized Gaussian noise. Zbl 1225.60084
Kabluchko, Zakhar
19
2011
An equivalent representation of the Brown-Resnick process. Zbl 1234.60056
Engelke, S.; Kabluchko, Z.; Schlather, M.
13
2011
Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056
Kabluchko, Zakhar
4
2011
Ergodic properties of max-infinitely divisible processes. Zbl 1205.60101
Kabluchko, Zakhar; Schlather, Martin
22
2010
Stationary systems of Gaussian processes. Zbl 1230.60054
Kabluchko, Zakhar
7
2010
Stationary max-stable fields associated to negative definite functions. Zbl 1208.60051
Kabluchko, Zakhar; Schlather, Martin; de Haan, Laurens
136
2009
...and 9 more Documents
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Cited by 601 Authors

91 Kabluchko, Zakhar A.
37 Thäle, Christoph
27 Hashorva, Enkelejd
21 Prochno, Joscha
19 Marynych, Alexander V.
18 Iksanov, Aleksander M.
15 Zaporozhets, Dmitry
11 Huser, Raphaël
11 Schlather, Martin
11 Wang, Yizao
10 Engelke, Sebastian
10 Gao, Zhiqiang
10 Oesting, Marco
10 Stoev, Stilian A.
10 Tan, Zhongquan
9 Godland, Thomas
8 Dębicki, Krzysztof
8 Dombry, Clément
8 Molchanov, Ilya S.
7 Gusakova, Anna Grigorevna
7 Hug, Daniel
7 Munk, Axel
7 Poly, Guillaume
7 Sanna, Carlo
7 Strokorb, Kirstin
6 Angst, Jürgen
6 Löwe, Matthias
6 Mikosch, Thomas
6 Opitz, Thomas
6 Segers, Johan
6 Vysotsky, Vladislav V.
5 Bonnet, Gilles
5 Davis, Richard A.
5 Götze, Friedrich
5 Klüppelberg, Claudia
5 Lifshits, Mikhail A.
5 Peng, Zuoxiang
5 Pritsker, Igor E.
5 Robert, Christian-Yann
5 Takahasi, Hiroki
4 Alonso-Gutiérrez, David
4 Bacro, Jean-Noël
4 Buraczewski, Dariusz
4 Cooley, Daniel S.
4 Davison, Anthony C.
4 Genton, Marc G.
4 Hintermüller, Michael
4 Johnston, Samuel G. G.
4 Koch, Erwan
4 Liu, Quansheng
4 Meiners, Matthias
4 Padoan, Simone A.
4 Reich, Brian James
4 Roy, Parthanil
4 Schubert, Kristina
4 Steinerberger, Stefan
4 Temesvari, Daniel
4 Wadsworth, Jennifer L.
4 Weng, Zhichao
3 Arias-Castro, Ery
3 Besau, Florian
3 Brazitikos, Silouanos
3 Buhl, Sven
3 Davies, Patrick Laurie
3 Eyi-Minko, Frédéric
3 Frick, Klaus
3 Gaetan, Carlo
3 Grote, Julian
3 Heiny, Johannes
3 Jalowy, Jonas
3 Kaufmann, Tom
3 Kolesko, Konrad
3 Krupskii, Pavel
3 Kuba, Markus F.
3 Lacoin, Hubert
3 Liao, Xin
3 Majumdar, Satya N.
3 Marnitz, Philipp
3 Maume-Deschamps, Véronique
3 Mukherjee, Sumit
3 Nguyen, Oanh
3 Nishry, Alon
3 Pafis, Minas
3 Popescu, Gelu
3 Račkauskas, Alfredas Yurgevich
3 Rashytov, Bohdan
3 Rautenberg, Carlos N.
3 Ribatet, Mathieu
3 Ribereau, Pierre
3 Sambale, Holger
3 Samorodnitsky, Gennady Pinkhosovich
3 Schneider, Rolf G.
3 Shaby, Benjamin A.
3 Shevchenko, Georgiy M.
3 So, Mike K. P.
3 Sodin, Mikhail
3 Soulier, Philippe
3 Sulzbach, Henning
3 Thibaud, Emeric
2 Aljubran, Hanan
...and 501 more Authors
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Cited in 144 Serials

44 Extremes
36 Stochastic Processes and their Applications
23 Electronic Journal of Probability
19 Journal of Mathematical Analysis and Applications
19 Bernoulli
15 Statistics & Probability Letters
14 Journal of Applied Probability
13 Transactions of the American Mathematical Society
12 Advances in Applied Probability
11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 The Annals of Probability
10 Discrete & Computational Geometry
9 Advances in Mathematics
9 Journal of Multivariate Analysis
9 Proceedings of the American Mathematical Society
9 Probability Theory and Related Fields
7 The Annals of Statistics
7 Journal of the American Statistical Association
7 Journal of Theoretical Probability
7 Journal of Mathematical Sciences (New York)
6 The Annals of Applied Probability
6 Computational Statistics and Data Analysis
6 Electronic Journal of Statistics
5 Journal of Approximation Theory
5 Statistical Science
5 Electronic Communications in Probability
5 Communications in Contemporary Mathematics
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 The Annals of Applied Statistics
4 Journal of Functional Analysis
4 Mathematische Nachrichten
4 Probability and Mathematical Statistics
4 Journal of Mathematical Imaging and Vision
4 Methodology and Computing in Applied Probability
4 Journal of Physics A: Mathematical and Theoretical
4 Journal of Agricultural, Biological, and Environmental Statistics
4 Modern Stochastics. Theory and Applications
4 Annales Henri Lebesgue
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 Number Theory
3 Journal of Statistical Planning and Inference
3 Mathematische Annalen
3 Mathematika
3 Communications in Statistics. Theory and Methods
3 Stochastics and Dynamics
3 Journal of Statistical Mechanics: Theory and Experiment
3 Journal of Computational and Graphical Statistics
3 Random Matrices: Theory and Applications
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Bulletin of the London Mathematical Society
2 Journal of the London Mathematical Society. Second Series
2 Monatshefte für Mathematik
2 Results in Mathematics
2 Advances in Applied Mathematics
2 Random Structures & Algorithms
2 Journal of Statistical Computation and Simulation
2 Indagationes Mathematicae. New Series
2 Experimental Mathematics
2 Potential Analysis
2 Theory of Probability and Mathematical Statistics
2 St. Petersburg Mathematical Journal
2 Discrete and Continuous Dynamical Systems
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Computational Methods and Function Theory
2 Oberwolfach Reports
2 Science China. Mathematics
2 Statistics and Computing
2 Discrete Analysis
2 Statistical Theory and Related Fields
1 Indian Journal of Pure & Applied Mathematics
1 Mathematische Semesterberichte
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Theory of Probability and its Applications
1 Beiträge zur Algebra und Geometrie
1 American Journal of Mathematics
1 Biometrics
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Journal of Time Series Analysis
1 Stochastic Analysis and Applications
1 Acta Mathematica Hungarica
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 Neural Networks
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
...and 44 more Serials
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Cited in 40 Fields

418 Probability theory and stochastic processes (60-XX)
129 Statistics (62-XX)
105 Convex and discrete geometry (52-XX)
44 Functions of a complex variable (30-XX)
25 Real functions (26-XX)
25 Functional analysis (46-XX)
24 Number theory (11-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Statistical mechanics, structure of matter (82-XX)
15 Computer science (68-XX)
13 Combinatorics (05-XX)
13 Geometry (51-XX)
11 Numerical analysis (65-XX)
11 Geophysics (86-XX)
9 Partial differential equations (35-XX)
9 Operator theory (47-XX)
9 Differential geometry (53-XX)
8 Information and communication theory, circuits (94-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Potential theory (31-XX)
6 Special functions (33-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Integral transforms, operational calculus (44-XX)
5 Measure and integration (28-XX)
5 Approximations and expansions (41-XX)
5 Biology and other natural sciences (92-XX)
4 General and overarching topics; collections (00-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Group theory and generalizations (20-XX)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Operations research, mathematical programming (90-XX)
1 Algebraic geometry (14-XX)
1 Ordinary differential equations (34-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)

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