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Articles by Zakhar Kabluchko

Almost periodic stochastic processes with applications to analytic number theory

7 February 2025 by Alexander Iksanov and others

Probability, Number Theory

A refinement of the Sylvester problem: Probabilities of combinatorial types

27 January 2025 by Zakhar Kabluchko and Hugo Panzo

Probability, Metric Geometry

Sylvester's problem for beta-type distributions

31 December 2024 by Anna Gusakova and Zakhar Kabluchko

Lee--Yang zeroes of the Curie--Weiss ferromagnet, unitary Hermite polynomials, and the backward heat flow

30 December 2024 by Zakhar Kabluchko

Probability, Mathematical Physics

Strange shadows of \ell_p-balls

23 December 2024 by Zakhar Kabluchko and Mathias Sonnleitner

Probability, Functional Analysis

Propagation of chaos and residual dependence in Gibbs measures on finite sets

10 October 2024 by Jonas Jalowy and others

Probability, Mathematical Physics

Repeated differentiation and free unitary Poisson process

17 September 2024 by Zakhar Kabluchko

Probability, Analysis of PDEs

Generalised convexity with respect to families of affine maps

2 September 2024 by Zakhar Kabluchko and others

Metric Geometry, Probability

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

12 July 2024 by Brian Hall and others

Zeros of random polynomials undergoing the heat flow

31 May 2024 by Brian Hall and others

Probability, Mathematical Physics

Asymptotic theory of Schatten classes

10 April 2024 by Michael Juhos and others

Functional Analysis, Operator Algebras

Multinomial random combinatorial structures and r-versions of Stirling, Eulerian and Lah numbers

25 March 2024 by Alexander Iksanov and others

Probability, Combinatorics

A quantitative central limit theorem for Poisson horospheres in high dimensions

7 March 2024 by Zakhar Kabluchko and others

Probability, Metric Geometry

Fluctuations of λ-geodesic Poisson hyperplanes in hyperbolic space

22 February 2024 by Zakhar Kabluchko and others

Probability, Metric Geometry

On decoupled standard random walks

8 February 2024 by Gerold Alsmeyer and others

Limit theorems for mixed-norm sequence spaces with applications to volume distribution

17 January 2024 by Michael Juhos and others

Probability, Functional Analysis

Propagation of chaos in the Random field Curie-Weiss model

4 December 2023 by Matthias Löwe and Zakhar Kabluchko

Divisibility properties of polynomial expressions of random integers

9 November 2023 by Zakhar Kabluchko and Alexander Marynych

Number Theory, Probability

When does the chaos in the Curie-Weiss model stop to propagate?

11 July 2023 by Jonas Jalowy and others

Probability, Mathematical Physics

r-Lah Distribution: Properties, Limit Theorems and an Application to Compressed Sensing

29 June 2023 by Zakhar Kabluchko and David Albert Steigenberger

Probability, Combinatorics

Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator

7 June 2023 by Zakhar Kabluchko and others

Random Walks in the High-Dimensional Limit I: The Wiener Spiral

20 May 2023 by Zakhar Kabluchko and Alexander Marynych at

University of Muenster

The heat flow, GAF, and SL(2;R)

13 April 2023 by Brian Hall and others

Probability, Classical Analysis and ODEs

A probabilistic approach to Lorentz balls

8 March 2023 by Zakhar Kabluchko and others

Functional Analysis, Probability

Multivariate multiplicative functions of uniform random vectors in large integer domains

31 January 2023 by Zakhar Kabluchko and others

Probability, Number Theory

Mod-\varphi convergence of Stirling distributions and limit theorems for zeros of their generating functions

14 January 2023 by Zakhar Kabluchko and others

Probability, Combinatorics

Sectional Voronoi tessellations: Characterization and high-dimensional limits

9 January 2023 by Anna Gusakova and others

A law of the iterated logarithm for iterated random walks, with application to random recursive trees

27 December 2022 by Alexander Iksanov and others

Random cones in high dimensions I: Donoho-Tanner and Cover-Efron cones

28 June 2022 by Thomas Godland and others

Probability, Metric Geometry

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

21 May 2022 by Zakhar Kabluchko and Alexander Marynych

Probability, Combinatorics

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