Face volume densities of positive-intensity and ideal Poisson--Voronoi tessellations in hyperbolic spaces

Matteo D'Achille, Christoph Thäle

We determine analytically for all $k\in \{0,1,\dots ,d-1\}$ the $k$-volume densities of a Poisson--Voronoi tessellation of intensity $\lambda >0$ in the $d$-dimensional hyperbolic space of…