Non-Hermitian β-ensemble with real eigenvalues
By removing the Hermitian condition of the so-called β-ensemble of tridiagonal matrices, an ensemble of non-Hermitian random matrices is constructed whose eigenvalues are all real. It is shown that they belong to the class of pseudo-Hermitian operators. Its statistical properties are investigated.
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| Format: | Article |
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AIP Publishing LLC
2013-03-01
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| Series: | AIP Advances |
| Online Access: | http://link.aip.org/link/doi/10.1063/1.4796167 |
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doaj-f7affcac44614d08886dc66597eebe442020-11-25T00:21:07ZengAIP Publishing LLCAIP Advances2158-32262013-03-013303213003213010.1063/1.4796167Non-Hermitian β-ensemble with real eigenvaluesO. BohigasM. P. PatoBy removing the Hermitian condition of the so-called β-ensemble of tridiagonal matrices, an ensemble of non-Hermitian random matrices is constructed whose eigenvalues are all real. It is shown that they belong to the class of pseudo-Hermitian operators. Its statistical properties are investigated. http://link.aip.org/link/doi/10.1063/1.4796167 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
O. Bohigas M. P. Pato |
| spellingShingle |
O. Bohigas M. P. Pato Non-Hermitian β-ensemble with real eigenvalues AIP Advances |
| author_facet |
O. Bohigas M. P. Pato |
| author_sort |
O. Bohigas |
| title |
Non-Hermitian β-ensemble with real eigenvalues |
| title_short |
Non-Hermitian β-ensemble with real eigenvalues |
| title_full |
Non-Hermitian β-ensemble with real eigenvalues |
| title_fullStr |
Non-Hermitian β-ensemble with real eigenvalues |
| title_full_unstemmed |
Non-Hermitian β-ensemble with real eigenvalues |
| title_sort |
non-hermitian β-ensemble with real eigenvalues |
| publisher |
AIP Publishing LLC |
| series |
AIP Advances |
| issn |
2158-3226 |
| publishDate |
2013-03-01 |
| description |
By removing the Hermitian condition of the so-called β-ensemble of tridiagonal matrices, an ensemble of non-Hermitian random matrices is constructed whose eigenvalues are all real. It is shown that they belong to the class of pseudo-Hermitian operators. Its statistical properties are investigated. |
| url |
http://link.aip.org/link/doi/10.1063/1.4796167 |
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AT obohigas nonhermitianbensemblewithrealeigenvalues AT mppato nonhermitianbensemblewithrealeigenvalues |
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