3 papers
math.MG2019
Random ball-polytopes in smooth convex bodies
Ferenc Fodor
We study approximations of smooth convex bodies by random ball-polytopes. We examine the following probability model: let be a convex body such that slides…
math.MG2018
On the volume bound in the Dvoretzky--Rogers lemma
Ferenc Fodor, Márton Naszódi, Tamás Zarnócz
The classical Dvoretzky--Rogers lemma provides a deterministic algorithm by which, from any set of isotropic vectors in Euclidean -space, one can select a subset of vectors…
math.MG2018
Variance estimates for random disc-polygons in smooth convex discs
Ferenc Fodor, Viktor Vígh
In this paper we prove asymptotic upper bounds on the variance of the number of vertices and missed area of inscribed random disc-polygons in smooth convex discs whose boundary is…