Variance bounds for disc-polygons
Metric Geometry
2026-04-09 v1 Probability
Abstract
We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is smooth. The established lower bounds are of the same order as the upper bounds proved previously by Fodor and V\'{\i}gh (2018).
Keywords
Cite
@article{arxiv.2111.01725,
title = {Variance bounds for disc-polygons},
author = {Ferenc Fodor and Balázs Grünfelder and Viktor Vígh},
journal= {arXiv preprint arXiv:2111.01725},
year = {2026}
}