Sharp asymptotics for the maximal distance from the boundary to the nucleus of a typical Poisson-Voronoi cell

Pierre Calka, Cecilia d'Errico, Nathanaël Enriquez

We consider the typical Poisson-Voronoi cell in the Euclidean space R d and in particular the maximal distance D from a vertex of that cell to its nucleus. We provide a sharp asymp…