Title : Ideal Poisson-Voronoi tessellations on hyperbolic spaces
We will discuss the limit in low intensity of Poisson-Voronoi tessellations on hyperbolic spaces, called ideal Poisson-Voronoi tessellations (IPVT). A main focus of the talk will be a simple Poissonian description of the cell of the origin, which allows a deep understanding of the IPVT. It will also feature 3D-printed realizations of a cell of the IPVT on 3-dimensional hyperbolic space in the Poincaré ball model.
Talk based on joint work with Nicolas Curien, Nathanaël Enriquez, Russell Lyons and Meltem Ünel (2303.16831)