40 citations · 48 across the 27 of their papers we have counts for
5 papers · 1 filter
Sharpening the probabilistic Arithmetic-Geometric Mean Inequality
Tom Kaufmann, Christoph Thäle
We consider the -generalized arithmetic-geometric mean inequality for vectors chosen randomly from the -ball in . In this setting the inequality can be i…
Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes
Carina Betken, Matthias Schulte, Christoph Thäle
This paper deals with the union set of a stationary Poisson process of cylinders in having an -dimensional base and an -dimensional direction space, where…
The -Delaunay tessellation IV: Mixing properties and central limit theorems
Anna Gusakova, Zakhar Kabluchko, Christoph Thäle
Various mixing properties of -, - and Gaussian Delaunay tessellations in are studied. It is shown that these tessellation models are absolutely regular, o…
Optimal Variance--Gamma approximation on the second Wiener chaos
Ehsan Azmoodeh, Peter Eichelsbacher, Christoph Thäle
In this paper, we consider a target random variable $Y \sim \CVG$ distributed according to a centered Variance--Gamma distribution. For a generic random element in the s…
The -Delaunay tessellation II: The Gaussian limit tessellation
Anna Gusakova, Zakhar Kabluchko, Christoph Thäle
We study the weak convergence of - and -Delaunay tessellations in that were introduced in part I of this paper, as . The limiting stationary s…