12 citations · 60 across the 20 of their papers we have counts for
28 papers
Limit laws for longest edges in empty region graphs
Holger Sambale, Matthias Schulte, Christoph Thaele
Empty region graphs are graphs whose vertices are points in and where two vertices are connected by an edge whenever some associated region does not contain any othe…
Seeing Through Hyperbolic Space: Visibility for -Geodesic Hyperplanes
Zakhar Kabluchko, Vanessa Mattutat, Christoph Thaele
We study visibility from a fixed point in the presence of a Poisson process of --geodesic hyperplanes in a -dimensional hyperbolic space. The family of --geodesic hyperpla…
Visibility and intersection density for Boolean models in hyperbolic space
Tillmann Bühler, Daniel Hug, Christoph Thaele
For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally consider…
Limit Theorems for the Volume of Random Projections and Sections of -balls
Joscha Prochno, Christoph Thaele, Philipp Tuchel
Let be the -dimensional unit ball corresponding to the -norm. For each we sample a uniform random subspace of fixed dimension $m\i…
Weighted floating functions and weighted functional affine surface areas
Carsten Schütt, Christoph Thaele, Nicola Turchi +1
The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or -concave functions. This leads to new notions of weighted…
Large deviations, moderate deviations, and the KLS conjecture
David Alonso-Gutiérrez, Joscha Prochno, Christoph Thaele
Having its origin in theoretical computer science, the Kannan-Lovász-Simonovits (KLS) conjecture is one of the major open problems in asymptotic convex geometry and high-dimensiona…