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

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Showing 2021 · math.PRShow all

3 papers · 2 filters

math.PR2021

The $β$ -Delaunay tessellation IV: Mixing properties and central limit theorems

Anna Gusakova, Zakhar Kabluchko, Christoph Thäle

Various mixing properties of $β$ -, $β^{'}$ - and Gaussian Delaunay tessellations in $R^{d - 1}$ are studied. It is shown that these tessellation models are absolutely regular, o…

math.PR2021

The $β$ -Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions

Anna Gusakova, Zakhar Kabluchko, Christoph Thäle

The $β$ -Delaunay tessellation in $R^{d - 1}$ is a generalization of the classical Poisson-Delaunay tessellation. As a first result of this paper we show that the shape of a…

math.PR2021

The $β$ -Delaunay tessellation II: The Gaussian limit tessellation

Anna Gusakova, Zakhar Kabluchko, Christoph Thäle

We study the weak convergence of $β$ - and $β^{'}$ -Delaunay tessellations in $R^{d - 1}$ that were introduced in part I of this paper, as $β \to \infty$ . The limiting stationary s…

The β-Delaunay tessellation IV: Mixing properties and central limit theorems

The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions

The β-Delaunay tessellation II: The Gaussian limit tessellation

The $β$ -Delaunay tessellation IV: Mixing properties and central limit theorems

The $β$ -Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions

The $β$ -Delaunay tessellation II: The Gaussian limit tessellation