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 2024Show all

3 papers · 1 filter

math.PR2024

Percolation of fat Poisson cylinders in hyperbolic space

Carina Betken, Erik Broman, Anna Gusakova +1

In this paper we study Poisson processes of so-called "fat" cylinders in hyperbolic space. As our main result we show that this model undergoes a percolation phase transition. We p…

math.PR2024

Random polytopes in convex bodies: Bridging the gap between extremal containers

Florian Besau, Anna Gusakova, Christoph Thäle

We investigate the asymptotic properties of random polytopes arising as convex hulls of $n$ independent random points sampled from a family of block-beta distributions. Notably, th…

math.PR2024

Concentration inequalities for Poisson $U$ -statistics

Gilles Bonnet, Anna Gusakova

In this article we obtain concentration inequalities for Poisson $U$ -statistics $F_{m} (f, η)$ of order $m \geq 1$ with kernels $f$ under general assumptions on $f$ and the intensity mea…

Percolation of fat Poisson cylinders in hyperbolic space

Random polytopes in convex bodies: Bridging the gap between extremal containers

Concentration inequalities for Poisson U-statistics

Concentration inequalities for Poisson $U$ -statistics