On random disc-polygons in a disc-polygon
arXiv:2110.12191 · doi:10.1214/23-ecp515
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 Rényi and Sulanke (1964) about random polygons in convex polygons.