2 papers
math.PR2026
Thresholds for colouring the random Borsuk graph
Ãlvaro Acitores Montero, Matthias Irlbeck, Tobias Müller +1
We consider the chromatic number of the random Borsuk graph. The random Borsuk graph is obtained by sampling points i.i.d. uniformly at random on the -dimensional sphere $S^…
math.PR2025
On the shape of the typical Poisson-Voronoi cell in high dimensions
Matthias Irlbeck, Zakhar Kabluchko, Tobias Müller
We study the typical cell of the Poisson-Voronoi tessellation. We show that when divided by the -th root of the intensity parameter of the Poisson process times the volume…