25 citations · 36 across the 13 of their papers we have counts for
3 papers · 1 filter
Random hyperbolic polyhedra in horoballs
Florian Besau, Anna Gusakova, Christoph Thäle
We study the geodesic convex hull of a stationary Poisson point process restricted to a horoball in -dimensional hyperbolic space. The resulting random set is an unbounded hyper…
Sylvester's four point problem for ball-convex bodies
Alexandra Bakó-Szabó, Florian Besau, Ferenc Fodor
We investigate Sylvester's classical four-point problem for ball-convex bodies, where convex hulls are replaced by intersections of balls of a fixed radius . We show that the Ef…
Illumination Bodies in Projective Geometries
Rotem Assouline, Florian Besau, Elisabeth M. Werner
We extend the notion of illumination bodies to Riemannian spaces of constant curvature and to projective Finsler geometries. We prove that the derivative of their volume defines a…