A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles

作者：Kuijlaars Arno B J^*

来源：Symmetry Integrability and Geometry-Methods and Applications, 2016, 12: 065.

DOI：10.3842/SIGMA.2016.065

• biorthogonal ensembles
• vector equilibrium problem
• random matirx theory
• logarithmic potential theory

The Muttalib-Borodin biorthogonal ensemble is a joint density function for nn particles on the positive real line that depends on a parameter theta. There is an equilibrium problem that describes the large nn behavior. We show that for rational values of theta there is an equivalent vector equilibrium problem.

• 出版日期2016