2 papers
math.PR2025
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…
math.PR2025
Ideal Poisson-Voronoi tessellations on hyperbolic spaces
Matteo D'Achille, Nicolas Curien, Nathanaël Enriquez +2
We study the limit in low intensity of Poisson--Voronoi tessellations in hyperbolic spaces for . In contrast to the Euclidean setting, a limiting nontri…