Variance estimates for random disc-polygons in smooth convex discs
Metric Geometry
2019-07-10 v1
Abstract
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 . We also consider a circumscribed variant of this probability model in which the convex disc is approximated by the intersection of random circles.
Cite
@article{arxiv.1802.02808,
title = {Variance estimates for random disc-polygons in smooth convex discs},
author = {Ferenc Fodor and Viktor Vígh},
journal= {arXiv preprint arXiv:1802.02808},
year = {2019}
}