A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
Classical Analysis and ODEs
2016-07-06 v2 Mathematical Physics
math.MP
Probability
Abstract
The Muttalib-Borodin biorthogonal ensemble is a joint density function for particles on the positive real line that depends on a parameter . There is an equilibrium problem that describes the large behavior. We show that for rational values of there is an equivalent vector equilibrium problem.
Cite
@article{arxiv.1604.03070,
title = {A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles},
author = {Arno B. J. Kuijlaars},
journal= {arXiv preprint arXiv:1604.03070},
year = {2016}
}