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

DOI10.1134/S0037446616020130zbMath1372.15031OpenAlexW2405438989WikidataQ115248449 ScholiaQ115248449MaRDI QIDQ530284

V. A. Churkin, Andrey S. Krivonogov

Publication date: 29 July 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616020130

zbMATH Keywords

random matrices with real spectrumreal orthogonal Lie algebra

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• The probability that a random real Gaussian matrix has \(k\) real eigenvalues, related distributions, and the circular law
• The portion of matrices with real spectrum in the Lie algebra of the real symplectic group
• Random matrix theory
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