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arXiv · 2110.12191

On random disc-polygons in a disc-polygon

Ferenc Fodor·Péter Kevei·Viktor Vígh
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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 $r$-convex analogues of the classical results of Rényi and Sulanke (1964) about random polygons in convex polygons.

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Ferenc Fodor, Péter Kevei, Viktor Vígh. 2021-10-23. On random disc-polygons in a disc-polygon. https://doi.org/10.1214/23-ecp515

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