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A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
Інший ID:
2010 Mathematics Subject Classification: 31A05; 60B20
DOI:10.3842/SIGMA.2016.065
DOI:10.3842/SIGMA.2016.065
Посилання:
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.
Підтримка:
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.
Дата:
2016
Переглядів:
630
Завантажень:
290
Анотація:
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.
