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 2020 · math.PRShow all

3 papers · 2 filters

math.PR2020★ 2 cited

On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems

Anna Gusakova, Christoph Thäle

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

math.PR2020

Concentration on Poisson spaces via modified $Φ$ -Sobolev inequalities

Anna Gusakova, Holger Sambale, Christoph Thaele

Concentration properties of functionals of general Poisson processes are studied. Using a modified $Φ$ -Sobolev inequality a recursion scheme for moments is established, which is of…

math.PR2020★ 1 cited

The $β$ -Delaunay tessellation I: Description of the model and geometry of typical cells

Anna Gusakova, Zakhar Kabluchko, Christoph Thäle

In this paper two new classes of stationary random simplicial tessellations, the so-called $β$ - and $β^{'}$ -Delaunay tessellations, are introduced. Their construction is based on a sp…

On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems

Concentration on Poisson spaces via modified Φ-Sobolev inequalities

The β-Delaunay tessellation I: Description of the model and geometry of typical cells

Concentration on Poisson spaces via modified $Φ$ -Sobolev inequalities

The $β$ -Delaunay tessellation I: Description of the model and geometry of typical cells