Email this article The portion of matrices with real spectrum in the real orthogonal Lie algebra
- Authors: Krivonogov A.S.1, Churkin V.A.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 57, No 2 (2016)
- Pages: 303-321
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170383
- DOI: https://doi.org/10.1134/S0037446616020130
- ID: 170383
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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.
About the authors
A. S. Krivonogov
Sobolev Institute of Mathematics
Author for correspondence.
Email: krivonogov.andrey@gmail.com
Russian Federation, Novosibirsk
V. A. Churkin
Sobolev Institute of Mathematics; Novosibirsk State University
Email: krivonogov.andrey@gmail.com
Russian Federation, Novosibirsk; Novosibirsk
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