A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
The Muttalib-Borodin biorthogonal ensemble is a joint density function for n particles on the positive real line that depends on a parameter θ. There is an equilibrium problem that describes the large n behavior. We show that for rational values of θ there is an equivalent vector equilibrium problem...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147762 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles / A.B.J. Kuijlaars // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862713770806083584 |
|---|---|
| author | Kuijlaars, A.B.J. |
| author_facet | Kuijlaars, A.B.J. |
| citation_txt | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles / A.B.J. Kuijlaars // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Muttalib-Borodin biorthogonal ensemble is a joint density function for n particles on the positive real line that depends on a parameter θ. There is an equilibrium problem that describes the large n behavior. We show that for rational values of θ there is an equivalent vector equilibrium problem.
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| first_indexed | 2025-12-07T17:46:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147762 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:46:19Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kuijlaars, A.B.J. 2019-02-15T19:15:31Z 2019-02-15T19:15:31Z 2016 A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles / A.B.J. Kuijlaars // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 31A05; 60B20 DOI:10.3842/SIGMA.2016.065 https://nasplib.isofts.kiev.ua/handle/123456789/147762 The Muttalib-Borodin biorthogonal ensemble is a joint density function for n particles on the positive real line that depends on a parameter θ. There is an equilibrium problem that describes the large n behavior. We show that for rational values of θ there is an equivalent vector equilibrium problem. This paper is a contribution to the Special Issue on Asymptotics and Universality in Random Matrices,
 Random Growth Processes, Integrable Systems and Statistical Physics in honor of Percy Deift and Craig Tracy.
 The full collection is available at http://www.emis.de/journals/SIGMA/Deift-Tracy.html.
 The author is supported by long term structural funding–Methusalem grant of the Flemish Government,
 by KU Leuven Research Grant OT/12/073, by the Belgian Interuniversity Attraction
 Pole P07/18, and by FWO Flanders projects G.0934.13 and G.0864.16. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles Article published earlier |
| spellingShingle | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles Kuijlaars, A.B.J. |
| title | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles |
| title_full | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles |
| title_fullStr | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles |
| title_full_unstemmed | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles |
| title_short | A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles |
| title_sort | vector equilibrium problem for muttalib-borodin biorthogonal ensembles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147762 |
| work_keys_str_mv | AT kuijlaarsabj avectorequilibriumproblemformuttalibborodinbiorthogonalensembles AT kuijlaarsabj vectorequilibriumproblemformuttalibborodinbiorthogonalensembles |