On random disc-polygons in a disc-polygon
Metric Geometry
2026-04-13 v1 Probability
Abstract
We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the -convex analogues of the classical results of R\'enyi and Sulanke (1964) about random polygons in convex polygons.
Cite
@article{arxiv.2110.12191,
title = {On random disc-polygons in a disc-polygon},
author = {Ferenc Fodor and Péter Kevei and Viktor Vígh},
journal= {arXiv preprint arXiv:2110.12191},
year = {2026}
}