Expected intrinsic volumes and facet numbers of random beta-polytopes

Zakhar Kabluchko, Daniel Temesvari, Christoph Thaele

Let $X_1,\dots ,X_n$ be i.i.d.\ random points in the $d$-dimensional Euclidean space sampled according to one of the following probability densities: $$ f_{d,β} (x) = \text{const}…