M. Kukushkin

activity

20172026

collaborators

Showing 2026Show all

2 papers · 1 filter

math.PR2026

Hausdorff Dimension of the Set of Extreme Points of a Random Countable Stable Zonotope

Maksim Kukushkin

Let $d \geq 2$ , $0 < α < 1$ , and let $Γ_{k}$ be the successive arrival times of a standard Poisson process on $(0, \infty)$ . Given independent uniform directions $ε_{k} \in S^{d - 1}$ …

math.MG2026

The Zaporozhets-Tarasov Inequality for an Arbitrary Planar Convex Body

Maksim Kukushkin

We prove that the mean distance between two independent uniformly distributed points in an arbitrary planar convex body is strictly smaller than the mean distance between two indep…