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arXiv · 2310.18143

A central limit theorem for random disc-polygons in smooth convex discs

Ferenc Fodor·Dániel I. Papvári
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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 $C^2_+$. We use Stein's method and the asymptotic lower bound for the variance of the area proved by Fodor, Grünfelder and Vígh (2022).

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Ferenc Fodor, Dániel I. Papvári. 2023-10-27. A central limit theorem for random disc-polygons in smooth convex discs. https://doi.org/10.1007/s00454-024-00701-6

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