A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Author: Kuijlaars, A.B.J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147762
• 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.

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...