On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble
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| Creator |
Shcherbina, T.
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| Description |
We consider the deformed Gaussian Ensemble Hn = Hn⁽⁰⁾ +Mn in which Hn⁽⁰⁾ is a hermitian matrix (possibly random) and Mn is the Gaussian Unitary Ensemble (GUE) random matrix (independent of Hn⁽⁰⁾ ). Assuming that the Normalized Counting Measure of Hn⁽⁰⁾converges weakly (in probability) to a nonrandom measure N⁽⁰⁾ with a bounded support, we prove the universality of the local eigenvalue statistics in the bulk of the limiting spectrum of Hn.
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| Date |
2016-09-30T08:25:42Z
2016-09-30T08:25:42Z 2009 |
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| Type |
Article
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| Identifier |
On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble / T. Shcherbina // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 396-433. — Бібліогр.: 16 назв. — англ.
1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106551 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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