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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1297–1314 (Mi smj2605)  
This article is cited in 2 scientific papers (total in 2 papers)

The portion of matrices with real spectrum in the Lie algebra of the real symplectic group

A. S. Krivonogova, V. A. Churkinba

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (369 kB) Citations (2)
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Abstract: The portion of matrices with real spectrum in a given 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 entire ball. In this article we calculate the portion of matrices with real spectrum in the Lie algebra of the real symplectic group.
Keywords: real symplectic Lie algebra, random matrices with real spectrum.
Received: 05.09.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 1056–1072
DOI: https://doi.org/10.1134/S0037446614060081
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 Lie algebra of the real symplectic group”, Sibirsk. Mat. Zh., 55:6 (2014), 1297–1314; Siberian Math. J., 55:6 (2014), 1056–1072
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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