# zbMATH — the first resource for mathematics

## Kabluchko, Zakhar A.

Compute Distance To:
 Author ID: 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: 91 Publications since 2001 Reviewing Activity: 85 Reviews
all top 5

#### Co-Authors

 16 single-authored 14 Zaporozhets, Dmitry 13 Thäle, Christoph 11 Marynych, Alexander V. 8 Iksanov, Aleksander M. 8 Prochno, Joscha 7 Schlather, Martin 5 Engelke, Sebastian 5 Vysotsky, Vladislav V. 4 Alsmeyer, Gerold 3 Lifshits, Mikhail A. 3 Munk, Axel 2 Dombry, Clément 2 Flasche, Hendrik 2 Grote, Julian 2 Grübel, Rudolf 2 Proskurin, Daniil P. 2 Sulzbach, Henning 2 Temesvari, Daniel 1 Alonso-Gutiérrez, David 1 Ballani, Felix 1 Besau, Florian 1 Davies, Patrick Laurie 1 de Haan, Laurens 1 Denker, Manfred 1 Godland, Thomas 1 Götze, Friedrich W. 1 Gusakova, Anna Grigorevna 1 Hashorva, Enkelejd 1 Hotz, Thomas 1 Hug, Daniel 1 Ibragimov, Il’dar Abdullovich 1 Kim, Chesoong 1 Klimovsky, Anton 1 Last, Günter 1 Litvak, Aleksandr Evgen’evich 1 Löwe, Matthias 1 Malinowski, Alexander 1 Marnitz, Philipp 1 Oesting, Marco 1 Reitzner, Matthias 1 Samoĭlenko, Yuriĭ Stefanovych 1 Schubert, Kristina 1 Seidel, Hauke 1 Shevchenko, Georgiy M. 1 Spodarev, Evgueni 1 Stichtenoth, Rahel 1 Stoev, Stilian A. 1 Vritsiou, Beatrice-Helen 1 Wang, Yizao 1 Werner, Elisabeth M. 1 Wübker, Achim
all top 5

#### Serials

 9 Stochastic Processes and their Applications 6 Bernoulli 5 Extremes 4 The Annals of Probability 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 The Annals of Applied Probability 4 Journal of Mathematical Sciences (New York) 4 Electronic Journal of Probability 3 Advances in Applied Probability 3 Advances in Mathematics 3 Journal of Applied Probability 3 Statistics & Probability Letters 3 Journal of Theoretical Probability 3 Electronic Communications in Probability 3 Communications in Contemporary Mathematics 2 Probability Theory and Related Fields 2 Discrete & Computational Geometry 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Studia Mathematica 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Journal of Approximation Theory 1 Mathematische Nachrichten 1 Mathematika 1 Probability and Mathematical Statistics 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 Theory of Stochastic Processes
all top 5

#### Fields

 85 Probability theory and stochastic processes (60-XX) 25 Convex and discrete geometry (52-XX) 9 Functional analysis (46-XX) 7 Functions of a complex variable (30-XX) 4 Real functions (26-XX) 3 Number theory (11-XX) 3 Geometry (51-XX) 2 Combinatorics (05-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) 2 Statistical mechanics, structure of matter (82-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

71 Publications have been cited 593 times in 333 Documents Cited by Year
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
Asymptotic distribution of complex zeros of random analytic functions. Zbl 1295.30008
Kabluchko, Zakhar; Zaporozhets, Dmitry
2014
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
Extremes of the standardized Gaussian noise. Zbl 1225.60084
Kabluchko, Zakhar
2011
Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065
Kabluchko, Zakhar; Stoev, Stilian
2016
Estimation of Hüsler-Reiss distributions and Brown-Resnick processes. Zbl 1414.60038
Engelke, Sebastian; Malinowski, Alexander; Kabluchko, Zakhar; Schlather, Martin
2015
Convex hulls of random walks, hyperplane arrangements, and Weyl chambers. Zbl 1373.52009
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
Extremes of independent chi-square random vectors. Zbl 1329.60028
Hashorva, Enkelejd; Kabluchko, Zakhar; Wübker, Achim
2012
Critical points of random polynomials with independent identically distributed roots. Zbl 1314.30008
Kabluchko, Zakhar
2015
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
Ergodic decompositions of stationary max-stable processes in terms of their spectral functions. Zbl 1367.60056
Dombry, Clément; Kabluchko, Zakhar
2017
An Erdős-Rényi law for mixing processes. Zbl 1125.60023
Denker, Manfred; Kabluchko, Zakhar
2007
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
An equivalent representation of the Brown-Resnick process. Zbl 1234.60056
Engelke, S.; Kabluchko, Z.; Schlather, M.
2011
High-dimensional limit theorems for random vectors in $$\ell_p^n$$-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2019
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
2019
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
Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063
Kabluchko, Zakhar; Munk, Axel
2008
Roots of random polynomials whose coefficients have logarithmic tails. Zbl 1364.26019
Kabluchko, Zakhar; Zaporozhets, Dmitry
2013
Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014
Kabluchko, Zakhar; Munk, Axel
2009
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025
Kabluchko, Zakhar; Zaporozhets, Dmitry
2016
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
2017
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Distribution of levels in high-dimensional random landscapes. Zbl 1246.60036
Kabluchko, Zakhar
2012
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
2019
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
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
Stationary systems of Gaussian processes. Zbl 1230.60054
Kabluchko, Zakhar
2010
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
Max-stable processes and stationary systems of Lévy particles. Zbl 1330.60065
Engelke, Sebastian; Kabluchko, Zakhar
2015
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Complex random energy model: zeros and fluctuations. Zbl 1292.60052
Kabluchko, Zakhar; Klimovsky, Anton
2014
General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2017
Beta polytopes and Poisson polyhedra: $$f$$-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
2020
Random marked sets. Zbl 1266.60091
Ballani, F.; Kabluchko, Z.; Schlather, M.
2012
Limit theorems for the least common multiple of a random set of integers. Zbl 07110634
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 asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
Functional limit theorems for sums of independent geometric Lévy processes. Zbl 1225.60056
Kabluchko, Zakhar
2011
Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
Extremes of space-time Gaussian processes. Zbl 1181.60075
Kabluchko, Zakhar
2009
Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016
Kabluchko, Zakhar; Spodarev, Evgeny
2009
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
Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324
Kabluchko, Zakhar
2009
Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010
Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry
2017
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010
Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D.
2017
Renewal shot noise processes in the case of slowly varying tails. Zbl 1374.60174
Kabluchko, Zakhar; Marynych, Alexander
2016
On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050
Kabluchko, Zakhar A.
2001
Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields. Zbl 1339.60038
Zaporozhets, D.; Kabluchko, Z.
2014
Limit laws for sums of independent random products: the lattice case. Zbl 1251.60040
Kabluchko, Zakhar
2012
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
Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs. Zbl 1426.82031
Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina
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
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
2018
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Zbl 07076088
Kabluchko, Zakhar; Zaporozhets, Dmitry
2019
Least energy approximation for processes with stationary increments. Zbl 1419.60030
Kabluchko, Zakhar; Lifshits, Mikhail
2017
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Zbl 1420.30003
Kabluchko, Zakhar; Seidel, Hauke
2019
A characterization of the normal distribution using stationary max-stable processes. Zbl 1333.60100
Engelke, Sebastian; Kabluchko, Zakhar
2016
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; 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
Some extensions of linear approximation and prediction problems for stationary processes. Zbl 1422.60055
Ibragimov, Ildar; Kabluchko, Zakhar; Lifshits, Mikhail
2019
Mode and Edgeworth expansion for the Ewens distribution and the Stirling numbers. Zbl 1367.11029
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2016
Leader election using random walks. Zbl 1355.60057
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2016
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
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
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2020
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
High-dimensional limit theorems for random vectors in $$\ell_p^n$$-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; 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 random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
2019
Limit theorems for the least common multiple of a random set of integers. Zbl 07110634
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
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 07076088
Kabluchko, Zakhar; Zaporozhets, Dmitry
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
Random tessellations associated with max-stable random fields. Zbl 1388.60092
Dombry, Clément; Kabluchko, Zakhar
2018
Monotonicity of expected $$f$$-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
2018
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
2018
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; 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
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
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
2017
General Edgeworth expansions with applications to profiles of random trees. Zbl 1382.60068
Kabluchko, Zakhar; Marynych, Alexander; Sulzbach, Henning
2017
Edgeworth expansions for profiles of lattice branching random walks. Zbl 1387.60075
Grübel, Rudolf; Kabluchko, Zakhar
2017
Convex hulls of random walks: expected number of faces and face probabilities. Zbl 1377.52007
Kabluchko, Zakhar; Vysotsky, Vladislav; Zaporozhets, Dmitry
2017
Inclusion-exclusion principles for convex hulls and the Euler relation. Zbl 1376.52010
Kabluchko, Zakhar; Last, Günter; Zaporozhets, Dmitry
2017
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. Zbl 1381.52010
Kabluchko, Zakhar; Litvak, A. E.; Zaporozhets, D.
2017
A leader-election procedure using records. Zbl 1392.60025
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
2017
Least energy approximation for processes with stationary increments. Zbl 1419.60030
Kabluchko, Zakhar; Lifshits, Mikhail
2017
Stochastic integral representations and classification of sum- and max-infinitely divisible processes. Zbl 1339.60065
Kabluchko, Zakhar; Stoev, Stilian
2016
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. Zbl 1366.60025
Kabluchko, Zakhar; Zaporozhets, Dmitry
2016
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
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
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
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
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
Leader election using random walks. Zbl 1355.60057
Alsmeyer, Gerold; Kabluchko, Zakhar; Marynych, Alexander
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
Limiting distribution for the maximal standardized increment of a random walk. Zbl 1323.60074
Kabluchko, Zakhar; Wang, Yizao
2014
Complex random energy model: zeros and fluctuations. Zbl 1292.60052
Kabluchko, Zakhar; Klimovsky, Anton
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
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
Scan statistics of Lévy noises and marked empirical processes. Zbl 1162.60016
Kabluchko, Zakhar; Spodarev, Evgeny
2009
Limiting distribution of the continuity modulus for Gaussian processes with stationary increments. Zbl 1159.60324
Kabluchko, Zakhar
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
On the extension of higher-dimensional noncommutative tori. Zbl 0980.46050
Kabluchko, Zakhar A.
2001
all top 5

#### Cited by 355 Authors

 58 Kabluchko, Zakhar A. 23 Hashorva, Enkelejd 16 Thäle, Christoph 13 Zaporozhets, Dmitry 11 Iksanov, Aleksander M. 11 Prochno, Joscha 11 Schlather, Martin 11 Wang, Yizao 10 Marynych, Alexander V. 10 Stoev, Stilian A. 8 Dombry, Clément 8 Engelke, Sebastian 8 Oesting, Marco 8 Tan, Zhongquan 7 Dębicki, Krzysztof 7 Huser, Raphaël 7 Molchanov, Ilya S. 7 Munk, Axel 6 Gao, Zhiqiang 6 Strokorb, Kirstin 5 Davis, Richard A. 5 Peng, Zuoxiang 5 Pritsker, Igor E. 5 Vysotsky, Vladislav V. 4 Bacro, Jean-Noël 4 Davison, Anthony C. 4 Hintermüller, Michael 4 Hug, Daniel 4 Klüppelberg, Claudia 4 Mikosch, Thomas 4 Padoan, Simone A. 4 Roy, Parthanil 4 Sanna, Carlo 4 Segers, Johan 4 Takahasi, Hiroki 4 Weng, Zhichao 3 Abu-Awwad, Abdul-Fattah 3 Alonso-Gutiérrez, David 3 Arias-Castro, Ery 3 Buhl, Sven 3 Eyi-Minko, Frédéric 3 Frick, Klaus 3 Gaetan, Carlo 3 Genton, Marc G. 3 Koch, Erwan 3 Liao, Xin 3 Lifshits, Mikhail A. 3 Liu, Quansheng 3 Marnitz, Philipp 3 Maume-Deschamps, Véronique 3 Meiners, Matthias 3 Opitz, Thomas 3 Poly, Guillaume 3 Rautenberg, Carlos N. 3 Ribatet, Mathieu 3 Ribereau, Pierre 3 Robert, Christian Yann 3 Samorodnitsky, Gennady Pinkhosovich 3 So, Mike K. P. 3 Steinerberger, Stefan 3 Sulzbach, Henning 3 Temesvari, Daniel 2 Aljubran, Hanan 2 Angst, Jürgen 2 Ballani, Felix 2 Bayraktar, Turgay 2 Beneš, Viktor 2 Beranger, Boris 2 Besau, Florian 2 Bissantz, Nicolai 2 Bloom, Thomas 2 Chan, Raymond K. S. 2 Chasapis, Giorgos 2 Chown, Justin 2 Cooley, Daniel S. 2 Davies, Patrick Laurie 2 Dette, Holger 2 Dieker, A. B. 2 Falk, Michael 2 Flasche, Hendrik 2 Götze, Friedrich W. 2 Grote, Julian 2 Hinrichs, Aicke 2 Ibragimov, Il’dar Abdullovich 2 Ji, Lanpeng 2 Kiriliouk, Anna 2 Klimovsky, Anton 2 Kolesko, Konrad 2 Krupskii, Pavel 2 Kuba, Markus F. 2 Nishry, Alon 2 Owada, Takashi 2 Papastathopoulos, Ioannis 2 Popescu, Gelu 2 Račkauskas, Alfredas Yurgevich 2 Rashytov, Bohdan 2 Reich, Brian James 2 Rhodes, Rémi 2 Schneider, Rolf G. 2 Šedivý, Ondřej ...and 255 more Authors
all top 5

#### Cited in 98 Serials

 36 Extremes 27 Stochastic Processes and their Applications 15 Bernoulli 14 Journal of Mathematical Analysis and Applications 13 Statistics & Probability Letters 10 Advances in Applied Probability 10 Journal of Applied Probability 9 Transactions of the American Mathematical Society 9 Electronic Journal of Probability 8 The Annals of Probability 7 Journal of Multivariate Analysis 7 Proceedings of the American Mathematical Society 7 Journal of Theoretical Probability 6 Advances in Mathematics 6 Journal of the American Statistical Association 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Computational Statistics and Data Analysis 4 Journal of Approximation Theory 4 Probability Theory and Related Fields 4 Discrete & Computational Geometry 4 Journal of Mathematical Imaging and Vision 4 Communications in Contemporary Mathematics 4 Methodology and Computing in Applied Probability 4 Electronic Journal of Statistics 4 The Annals of Applied Statistics 4 Journal of Agricultural, Biological, and Environmental Statistics 3 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Lithuanian Mathematical Journal 3 Scandinavian Journal of Statistics 3 The Annals of Statistics 3 Statistical Science 3 The Annals of Applied Probability 3 Electronic Communications in Probability 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Functional Analysis 2 Journal of Statistical Planning and Inference 2 Monatshefte für Mathematik 2 Probability and Mathematical Statistics 2 Communications in Statistics. Theory and Methods 2 Journal of Statistical Computation and Simulation 2 Potential Analysis 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 Statistics and Computing 1 Indian Journal of Pure & Applied Mathematics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 Journal of Number Theory 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematika 1 Revista Matemática Iberoamericana 1 Random Structures & Algorithms 1 Geometric and Functional Analysis. GAFA 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 Theory of Probability and Mathematical Statistics 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 Scandinavian Actuarial Journal 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Hacettepe Journal of Mathematics and Statistics 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Journal of the Korean Statistical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Inverse Problems and Imaging 1 Journal of Statistical Theory and Practice 1 Mathematical Geosciences 1 Analysis & PDE 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Modern Stochastics. Theory and Applications 1 Arnold Mathematical Journal 1 Research in Number Theory 1 Transactions of the American Mathematical Society. Series B 1 PUMP Journal of Undergraduate Research
all top 5

#### Cited in 36 Fields

 260 Probability theory and stochastic processes (60-XX) 90 Statistics (62-XX) 41 Convex and discrete geometry (52-XX) 28 Functions of a complex variable (30-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Real functions (26-XX) 10 Number theory (11-XX) 10 Functional analysis (46-XX) 10 Numerical analysis (65-XX) 10 Computer science (68-XX) 10 Geophysics (86-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Combinatorics (05-XX) 6 Operator theory (47-XX) 5 Partial differential equations (35-XX) 5 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Geometry (51-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)