Bulk Universality for Unitary Matrix Models
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Bulk Universality for Unitary Matrix Models
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| Creator |
Poplavskyi, M.
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| Description |
A proof of universality in the bulk of spectrum of unitary matrix models, assuming that the potential is globally C² and locally C³ function (see Theorem 1.2), is given. The proof is based on the determinant formulas for correlation functions in terms of polynomials orthogonal on the unit circle. The sin-kernel is obtained as a unique solution of a certain nonlinear integrodifferential equation without using asymptotics of orthogonal polynomials.
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| Date |
2016-09-30T07:29:38Z
2016-09-30T07:29:38Z 2009 |
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| Type |
Article
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| Identifier |
Bulk Universality for Unitary Matrix Models / M. Poplavskyi // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 245-274. — Бібліогр.: 10 назв. — англ.
1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106543 |
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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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