Zakhar Kabluchko

activity

20122026

most citedRandom determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields

1 citations · 1 across the 22 of their papers we have counts for

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math.PR2026

Coverage probability of the planar Brownian convex hull

Zakhar Kabluchko

Let $K$ be the convex hull of a planar Brownian motion up to time $1$ . We explicitly determine the probability that $K$ contains a prescribed point $z\in\mathbb R…

math.PR2026

Angles and volumes of simplices, boxes, and crosspolytopes in constant curvature

Zakhar Kabluchko, Philipp Schange

We determine, up to isometry, the Riemannian tangent and normal cones at arbitrary faces of boxes, acute orthocentric simplices, rectangular simplices, and asymmetric crosspolytope…

math.PR2026

Intrinsic volumes of $ℓ_{p}$ -balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures

Zakhar Kabluchko, Alexander Marynych, Joscha Prochno

For $p > 1$ , we derive explicit formulas for the intrinsic volumes $V_{0} (B_{p}^{n}), \dots, V_{n - 1} (B_{p}^{n})$ of the $n$ -dimensional $ℓ_{p}$ -balls $$ \mathbb B_p^n = \{x\in\m…

math.PR2026

Expected hyperbolic volumes of random beta polytopes

Zakhar Kabluchko, Philipp Schange

Let $X_{1}, \dots, X_{n}$ be independent random points in the closed unit ball of $R^{d}$ . Assume that each $X_{i}$ has a beta distribution with parameter $β_{i} \geq - 1$ : if $β_{i} > - 1$ …

math.PR2026

Random Polyhedral Cones I: Distributional Results via Gale Duality

Zakhar Kabluchko

Let $U_{1}, \dots, U_{n}$ be independent random vectors uniformly distributed on the unit sphere $S^{d - 1} \subseteq R^{d}$ , where $n \geq d$ , and consider the random polyhedra…

math.PR2026

Seeing Through Hyperbolic Space: Visibility for $λ$ -Geodesic Hyperplanes

Zakhar Kabluchko, Vanessa Mattutat, Christoph Thaele

We study visibility from a fixed point in the presence of a Poisson process of $λ$ --geodesic hyperplanes in a $d$ -dimensional hyperbolic space. The family of $λ$ --geodesic hyperpla…

math.PR2026

First passage times for decoupled random walks

Alexander Iksanov, Zakhar Kabluchko, Vitali Wachtel

Motivated by a connection to the infinite Ginibre point process, decoupled random walks were introduced in a recent article Alsmeyer, Iksanov and Kabluchko (2025). The decoupled ra…

Coverage probability of the planar Brownian convex hull

Angles and volumes of simplices, boxes, and crosspolytopes in constant curvature

Intrinsic volumes of ℓp​-balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures

Expected hyperbolic volumes of random beta polytopes

Random Polyhedral Cones I: Distributional Results via Gale Duality

Seeing Through Hyperbolic Space: Visibility for λ-Geodesic Hyperplanes

First passage times for decoupled random walks

Intrinsic volumes of $ℓ_{p}$ -balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures

Seeing Through Hyperbolic Space: Visibility for $λ$ -Geodesic Hyperplanes