Variance bounds for disc-polygons

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2021-11-02 DOI:10.4171/dm/891

F. Fodor, B. Grunfelder, V. V'igh

引用次数: 1

Abstract

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 by Fodor and V\'{\i}gh (2018).

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圆盘多边形的方差界

我们证明了边界为$C_+^2$光滑的凸圆盘上随机圆盘多边形的顶点数和缺失面积方差的渐近下界。所建立的下界与Fodor和V\ {\i}gh(2018)先前证明的上界具有相同的数量级。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.