A. Gusakova

activity

20192026

most citedSharp inequalities for the mean distance of random points in convex bodies

4 citations · 8 across the 20 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

math.PR2025

Critical Poisson hyperplane percolation in hyperbolic space has no unbounded cells

Tillmann Bühler, Anna Gusakova, Konstantin Recke

We show that tessellations of hyperbolic space by isometry-invariant Poisson processes of $(d - 1)$ -dimensional hyperplanes do not have an unbounded cell at the critical intensity. T…

math.PR2025

Gaussian approximation for Extreme Points in Laguerre tessellations

Chinmoy Bhattacharjee, Anna Gusakova

We consider Gaussian approximation in three particular models of Poisson-Laguerre tessellations, namely, the $β$ -, $β^{'}$ - and Gaussian-Voronoi tessellations. The tessellations are c…

math.PR2025

On the moments of the volume for random convex chains

Anna Gusakova, Anna Muranova

Let $T$ be the triangle in the plane with vertices $(0, 0)$ , $(0, 1)$ and $(0, 1)$ . The convex hull $T_{n}$ of points $(0, 1)$ , $(1, 0)$ and $n$ independent random points uniformly di…

math.PR2025

Sylvester's problem for beta-type distributions

Anna Gusakova, Zakhar Kabluchko

Consider $d + 2$ i.i.d. random points $X_{1}, \dots, X_{d + 2}$ in $R^{d}$ . In this note, we compute the probability that their convex hull is a simplex focusing on three specific…