Christoph Thale

activity

20142026

most citedFunctional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry

40 citations · 48 across the 27 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

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

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

Tom Kaufmann, Holger Sambale, Christoph Thäle

We consider products of uniform random variables from the Stiefel manifold of orthonormal $k$ -frames in $R^{n}$ , $k \leq n$ , and random vectors from the $n$ -dimensional $\ell…

math.PR2022

Asymptotic expected $T$ -functionals of random polytopes with applications to $L_{p}$ surface areas

Steven Hoehner, Ben Li, Michael Roysdon +1

An asymptotic formula is proved for the expected $T$ -functional of the convex hull of independent and identically distributed random points sampled from the Euclidean unit sphere i…

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

Large deviations for uniform projections of p-radial distributions on ℓpn​-balls

Asymptotic expected T-functionals of random polytopes with applications to Lp​ surface areas

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

Asymptotic expected $T$ -functionals of random polytopes with applications to $L_{p}$ surface areas