Bulk Universality for Unitary Matrix Models
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. Th...
Збережено в:
| Дата: | 2009 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
|
| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106543 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Bulk Universality for Unitary Matrix Models / M. Poplavskyi // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 245-274. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106543 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1065432016-10-01T03:01:55Z Bulk Universality for Unitary Matrix Models Poplavskyi, M. 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. 2009 Article 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 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Poplavskyi, M. |
| spellingShingle |
Poplavskyi, M. Bulk Universality for Unitary Matrix Models Журнал математической физики, анализа, геометрии |
| author_facet |
Poplavskyi, M. |
| author_sort |
Poplavskyi, M. |
| title |
Bulk Universality for Unitary Matrix Models |
| title_short |
Bulk Universality for Unitary Matrix Models |
| title_full |
Bulk Universality for Unitary Matrix Models |
| title_fullStr |
Bulk Universality for Unitary Matrix Models |
| title_full_unstemmed |
Bulk Universality for Unitary Matrix Models |
| title_sort |
bulk universality for unitary matrix models |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106543 |
| citation_txt |
Bulk Universality for Unitary Matrix Models / M. Poplavskyi // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 245-274. — Бібліогр.: 10 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT poplavskyim bulkuniversalityforunitarymatrixmodels |
| first_indexed |
2023-10-18T20:13:11Z |
| last_indexed |
2023-10-18T20:13:11Z |
| _version_ |
1796149286542508032 |