A central limit theorem for random disc-polygons in smooth convex discs
Metric Geometry
2026-04-09 v1 Probability
Abstract
In this paper we prove a quantitative central limit theorem for the area of uniform random disc-polygons in smooth convex discs whose boundary is . We use Stein's method and the asymptotic lower bound for the variance of the area proved by Fodor, Gr\"unfelder and V\'igh (2022).
Cite
@article{arxiv.2310.18143,
title = {A central limit theorem for random disc-polygons in smooth convex discs},
author = {Ferenc Fodor and Dániel I. Papvári},
journal= {arXiv preprint arXiv:2310.18143},
year = {2026}
}