Critical angles in random polyhedral cones

被引：1

作者：

Gourion, Daniel ^{[1
]}

Seeger, Alberto ^{[1
]}

机构：

[1] Univ Avignon, Dept Math, F-84000 Avignon, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 374卷 / 01期

关键词：

Convex cone; Critical angle; Extremal angle; Random set; CONVEX CONES; APERTURE-ANGLE; PROBABILITY; PAIRS;

D O I：

10.1016/j.jmaa.2010.08.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work concerns the angular structure of random polyhedral cones generated by p stochastically independent vectors uniformly distributed on the unit sphere of R(n). We comment on the expected number of critical angles and the mathematical expectation of the extremal angles. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：8 / 21

页数：14

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