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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 388–409
DOI: https://doi.org/10.17377/smzh.2016.57.213 (Mi smj2752) 		 
The portion of matrices with real spectrum in the real orthogonal Lie algebra

A. S. Krivonogova, V. A. Churkinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2016.57.213
Abstract: 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.
Keywords: real orthogonal Lie algebra, random matrices with real spectrum.
Received: 15.03.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 303–321
DOI: https://doi.org/10.1134/S0037446616020130
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: A. S. Krivonogov, V. A. Churkin, “The portion of matrices with real spectrum in the real orthogonal Lie algebra”, Sibirsk. Mat. Zh., 57:2 (2016), 388–409; Siberian Math. J., 57:2 (2016), 303–321
Citation in format AMSBIB
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