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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| _version_ | 1818111657471115264 |
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| author | O. Bohigas M. P. Pato |
| author_facet | O. Bohigas M. P. Pato |
| author_sort | O. Bohigas |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-11T03:06:32Z |
| format | Article |
| id | doaj.art-f7affcac44614d08886dc66597eebe44 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-11T03:06:32Z |
| publishDate | 2013-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-f7affcac44614d08886dc66597eebe442022-12-22T01:22:57ZengAIP 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 |
| spellingShingle | O. Bohigas M. P. Pato Non-Hermitian β-ensemble with real eigenvalues AIP Advances |
| title | 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_short | Non-Hermitian β-ensemble with real eigenvalues |
| title_sort | non hermitian β ensemble with real eigenvalues |
| url | http://link.aip.org/link/doi/10.1063/1.4796167 |
| work_keys_str_mv | AT obohigas nonhermitianbensemblewithrealeigenvalues AT mppato nonhermitianbensemblewithrealeigenvalues |