QLunch: Meltem Ünel

Speaker: Meltem Ünel, Université Paris-Saclay

Title: Ideal Poisson-Voronoi tessellations on hyperbolic spaces

Abstract: We study the low intensity limit of Poisson-Voronoi tessellations in hyperbolic spaces H_d  for d \geq 2. Contrary to the standard Euclidean setting, a limiting non-trivial ideal tessellation appears as the intensity tends to 0. In this talk, we will introduce the general convergence result and look closer into some of the properties of the Voronoi cell containing the origin of H_d.