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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 showthat for rational values of $\theta$ there is an equivalent vector equilibriumproblem.

A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles