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 2022 · math.PRShow all

3 papers · 2 filters

math.PR2022

The volume of random simplices from elliptical distributions in high dimension

Anna Gusakova, Johannes Heiny, Christoph Thäle

Random simplices and more general random convex bodies of dimension $p$ in $R^{n}$ with $p \leq n$ are considered, which are generated by random vectors having an elliptical…

math.PR2022

Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon

Anna Gusakova, Matthias Reitzner, Christoph Thäle

Fix a container polygon $P$ in the plane and consider the convex hull $P_{n}$ of $n \geq 3$ independent and uniformly distributed in $P$ random points. In the focus of this paper is t…

math.PR2022

Spherical convex hull of random points on a wedge

Florian Besau, Anna Gusakova, Matthias Reitzner +3

Consider two half-spaces $H_{1}^{+}$ and $H_{2}^{+}$ in $R^{d + 1}$ whose bounding hyperplanes $H_{1}$ and $H_{2}$ are orthogonal and pass through the origin. The intersection $\mathbb{…