Matteo D'Achille

We will discuss the limit in low intensity of Poisson-Voronoi tessellations on hyperbolic spaces, a.k.a. ideal Poisson-Voronoi tessellations (IPVT). In particular, we will see how a simple Poissonian description of the cell containing the origin of hyperbolic space (zero cell) can be used to study fine properties of IPVT tiles. The talk will feature 3D-printed realizations of the zero cell of the IPVT on 3-dimensional hyperbolic space in the Poincaré ball model.