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Recursive Scheme for Angles of Random Simplices, and Applications to Random Polytopes

Discrete & computational geometry, 2021-10, Vol.66 (3), p.902-937

Kabluchko, Zakhar

2021

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Face numbers of high-dimensional Poisson zero cells

Proceedings of the American Mathematical Society, 2023-01, Vol.151 (1), p.401-415

Kabluchko, Zakhar

2023

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Angle sums of random simplices in dimensions 3 and 4

Proceedings of the American Mathematical Society, 2020-07, Vol.148 (7), p.3079-3086

Kabluchko, Zakhar

2020

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On expected face numbers of random beta and beta’ polytopes

Beiträge zur Algebra und Geometrie, 2023-03, Vol.64 (1), p.155-174

Kabluchko, Zakhar

2023

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Critical points of random polynomials with independent identically distributed roots

Proceedings of the American Mathematical Society, 2015-02, Vol.143 (2), p.695-702

KABLUCHKO, ZAKHAR

2015

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The Typical Cell of a Voronoi Tessellation on the Sphere

Discrete & computational geometry, 2021-12, Vol.66 (4), p.1330-1350

2021

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Stationary Max-Stable Fields Associated to Negative Definite Functions

The Annals of probability, 2009-09, Vol.37 (5), p.2042-2065

2009

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Conical tessellations associated with Weyl chambers

Transactions of the American Mathematical Society, 2021-10, Vol.374 (10), p.7161

2021

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Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls

Transactions of the American Mathematical Society, 2016-12, Vol.368 (12), p.8873-8899

2016

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Expected volumes of Gaussian polytopes, external angles, and multiple order statistics

Transactions of the American Mathematical Society, 2019-08, Vol.372 (3), p.1709-1733

2019

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Limit theorems for the least common multiple of a random set of integers

Transactions of the American Mathematical Society, 2019-10, Vol.372 (7), p.4585-4603

2019

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Large deviation principles for lacunary sums

Transactions of the American Mathematical Society, 2023-01, Vol.376 (1), p.507

2023

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Intersection of unit balls in classical matrix ensembles

Israel journal of mathematics, 2020-08, Vol.239 (1), p.129-172

2020

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Real Zeroes of Random Analytic Functions Associated with Geometries of Constant Curvature

Journal of theoretical probability, 2020-03, Vol.33 (1), p.103-133

2020

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Conic intrinsic volumes of Weyl chambers

Modern Stochastics: Theory and Applications, 2022-07, Vol.9 (3), p.357-375

2022

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Monotonicity of expected f-vectors for projections of regular polytopes

Proceedings of the American Mathematical Society, 2018-03, Vol.146 (3), p.1295

2018

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Angles of random simplices and face numbers of random polytopes

Advances in mathematics (New York. 1965), 2021-03, Vol.380, p.107612, Article 107612

Kabluchko, Zakhar

2021

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An Identity for the Coefficients of Characteristic Polynomials of Hyperplane Arrangements

Discrete & computational geometry, 2023-12, Vol.70 (4), p.1476-1498

Kabluchko, Zakhar

2023

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Complex random energy model: zeros and fluctuations

Probability theory and related fields, 2014-02, Vol.158 (1-2), p.159-196

2014

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EXPECTED f‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE

Mathematika, 2020-10, Vol.66 (4), p.1028-1053

Kabluchko, Zakhar

2020

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The maximum entropy principle and volumetric properties of Orlicz balls

Journal of mathematical analysis and applications, 2021-03, Vol.495 (1), p.124687, Article 124687

2021

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Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks

Probability theory and related fields, 2022-12, Vol.184 (3-4), p.969-1028

2022

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Dynamics of Zeroes Under Repeated Differentiation

Experimental mathematics, 2023-10, Vol.ahead-of-print (ahead-of-print), p.1-27

2023

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ASYMPTOTIC DISTRIBUTION OF COMPLEX ZEROS OF RANDOM ANALYTIC FUNCTIONS

The Annals of probability, 2014-07, Vol.42 (4), p.1374-1395

2014

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Positive hulls of random walks and bridges

Stochastic processes and their applications, 2022-05, Vol.147, p.327-362

2022

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Recursive Scheme for Angles of Random Simplices, and Applications to Random Polytopes

Face numbers of high-dimensional Poisson zero cells

Angle sums of random simplices in dimensions 3 and 4

On expected face numbers of random beta and beta’ polytopes

Critical points of random polynomials with independent identically distributed roots

The Typical Cell of a Voronoi Tessellation on the Sphere

Stationary Max-Stable Fields Associated to Negative Definite Functions

Conical tessellations associated with Weyl chambers

Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls

Expected volumes of Gaussian polytopes, external angles, and multiple order statistics

Limit theorems for the least common multiple of a random set of integers

Large deviation principles for lacunary sums

Intersection of unit balls in classical matrix ensembles

Real Zeroes of Random Analytic Functions Associated with Geometries of Constant Curvature

Conic intrinsic volumes of Weyl chambers

Monotonicity of expected f-vectors for projections of regular polytopes

Angles of random simplices and face numbers of random polytopes

An Identity for the Coefficients of Characteristic Polynomials of Hyperplane Arrangements

Complex random energy model: zeros and fluctuations

EXPECTED f‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE

The maximum entropy principle and volumetric properties of Orlicz balls

Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks

Dynamics of Zeroes Under Repeated Differentiation

ASYMPTOTIC DISTRIBUTION OF COMPLEX ZEROS OF RANDOM ANALYTIC FUNCTIONS

Positive hulls of random walks and bridges

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