The portion of matrices with real spectrum in the real orthogonal Lie algebra

被引：0

作者：

Krivonogov, A. S. ^{[1
]}

Churkin, V. A. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 02期

关键词：

real orthogonal Lie algebra; random matrices with real spectrum;

D O I：

10.1134/S0037446616020130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The portion of matrices with real spectrum in a matrix Lie algebra is the ratio of the volume of the set of matrices with real spectrum in a ball centered at the zero of the algebra to the volume of the whole ball. We calculate the portion for the real orthogonal Lie algebra.

引用

页码：303 / 321

页数：19

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