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.
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页码：303 / 321
页数：19
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