The portion of matrices with real spectrum in the real orthogonal Lie algebra
- Autores: Krivonogov A.S.1, Churkin V.A.1,2
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Edição: Volume 57, Nº 2 (2016)
- Páginas: 303-321
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170383
- DOI: https://doi.org/10.1134/S0037446616020130
- ID: 170383
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Resumo
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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Sobre autores
A. Krivonogov
Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: krivonogov.andrey@gmail.com
Rússia, Novosibirsk
V. Churkin
Sobolev Institute of Mathematics; Novosibirsk State University
Email: krivonogov.andrey@gmail.com
Rússia, Novosibirsk; Novosibirsk
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