Matthias Irlbeck

collaborators

3 papers

math.PR2026

Non-vanishing uniqueness threshold for hyperbolic Poisson-Voronoi percolation in dimension at least three

Matthias Irlbeck, Tobias MÃ¼ller

We study the threshold for the existence of exactly one unbounded cluster for Poisson-Voronoi percolation on the $d$ -dimensional hyperbolic space $H^{d}$ for $d \geq 3$ . By r…

math.PR2026

Thresholds for colouring the random Borsuk graph

Ãlvaro Acitores Montero, Matthias Irlbeck, Tobias MÃ¼ller +1

We consider the chromatic number of the random Borsuk graph. The random Borsuk graph is obtained by sampling $n$ points i.i.d. uniformly at random on the $d$ -dimensional sphere $S^…

math.PR2025

On the shape of the typical Poisson-Voronoi cell in high dimensions

Matthias Irlbeck, Zakhar Kabluchko, Tobias MÃ¼ller

We study the typical cell of the Poisson-Voronoi tessellation. We show that when divided by the $d$ -th root of the intensity parameter $I^»$ of the Poisson process times the volume…