Cones generated by random points on half-spheres and convex hulls of Poisson point processes

Zakhar Kabluchko, Alexander Marynych, Daniel Temesvari +1

Let $U_1,U_2,\dots$ be random points sampled uniformly and independently from the $d$-dimensional upper half-sphere. We show that, as $n\to \infty$, the $f$-vector of the $(d+1)$-d…