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arXiv · 1802.02808

Variance estimates for random disc-polygons in smooth convex discs

Ferenc Fodor·Viktor Vígh
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Abstract

In this paper we prove asymptotic upper bounds on the variance of the number of vertices and missed area of inscribed random disc-polygons in smooth convex discs whose boundary is $C^2_+$. We also consider a circumscribed variant of this probability model in which the convex disc is approximated by the intersection of random circles.

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Ferenc Fodor, Viktor Vígh. 2018-02-08. Variance estimates for random disc-polygons in smooth convex discs. https://doi.org/10.1017/jpr.2018.76

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