A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles

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.

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