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arXiv · 1604.03070

A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles

Arno B. J. Kuijlaars
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Abstract

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

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BibTeXRIS

Arno B. J. Kuijlaars. 2016-04-11. A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles. https://doi.org/10.3842/sigma.2016.065

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