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


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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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A. Krivonogov

Sobolev Institute of Mathematics

编辑信件的主要联系方式.
Email: krivonogov.andrey@gmail.com
俄罗斯联邦, Novosibirsk

V. Churkin

Sobolev Institute of Mathematics; Novosibirsk State University

Email: krivonogov.andrey@gmail.com
俄罗斯联邦, Novosibirsk; Novosibirsk

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