Well-Distributed Great Circles on S2

被引：0

作者：

Steinerberger, Stefan ^{[1
]}

机构：

[1] Yale Univ, Dept Math, New Haven, CT 06511 USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2018年 / 60卷 / 01期

关键词：

Intersection of great circles; Minimal overlap; Riesz energy; Thomson problem; POINTS; SPHERE; ENERGY; SUMS;

D O I：

10.1007/s00454-018-9994-z

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let denote the 1 / n-neighborhood of n great circles on . We are interested in how much these areas have to overlap and prove the sharp bounds For there are arrangements for which the sum of mutual overlap is uniformly bounded (for the analogous problem in this is impossible, the lower bound is ). There are strong connections to minimal energy configurations of n charged electrons on (the Thomson problem).

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页码：40 / 56

页数：17

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