Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models
We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of random matrices with one interval limiting spectrum. We consider ensembles with real analytic potentials and test functions with two bounded derivatives.
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106500 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models / M. Shcherbina // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 171-195. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862576068505894912 |
|---|---|
| author | Shcherbina, M. |
| author_facet | Shcherbina, M. |
| citation_txt | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models / M. Shcherbina // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 171-195. — Бібліогр.: 18 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of random matrices with one interval limiting spectrum. We consider ensembles with real analytic potentials and test functions with two bounded derivatives.
|
| first_indexed | 2025-11-26T14:12:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106500 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-26T14:12:19Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Shcherbina, M. 2016-09-29T17:36:53Z 2016-09-29T17:36:53Z 2008 Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models / M. Shcherbina // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 171-195. — Бібліогр.: 18 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106500 We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of random matrices with one interval limiting spectrum. We consider ensembles with real analytic potentials and test functions with two bounded derivatives. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models Article published earlier |
| spellingShingle | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models Shcherbina, M. |
| title | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models |
| title_full | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models |
| title_fullStr | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models |
| title_full_unstemmed | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models |
| title_short | Central Limit Theorem for Linear Eigenvalue Statistics of Orthogonally Invariant Matrix Models |
| title_sort | central limit theorem for linear eigenvalue statistics of orthogonally invariant matrix models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106500 |
| work_keys_str_mv | AT shcherbinam centrallimittheoremforlineareigenvaluestatisticsoforthogonallyinvariantmatrixmodels |