The volume of simplices in high-dimensional Poisson-Delaunay tessellations

Anna Gusakova, Christoph Thaele

Typical weighted random simplices $Z_{\mu }$, $\mu \in (-2,\infty )$, in a Poisson-Delaunay tessellation in ${\mathbb{R}}^n$ are considered, where the weight is given by the $(\mu +1)$st power of…