VARIANCE BOUNDS FOR DISC-POLYGONS

Ferenc Fodor, Balázs Grünfelder,Viktor Vígh

DOCUMENTA MATHEMATICA（2022）

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摘要

We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is C-+(2) smooth. The established lower bounds are of the same order as the upper bounds proved previously in [10].

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关键词

Disc-polygons, random approximation, vari-ance, asymptotic lower bounds

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