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A Vector Equilibrium Problem for Muttalib–Borodin Biorthogonal Ensembles
Symmetry, integrability and geometry: methods and applications, Tome 12 (2016) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 show that for rational values of $\theta$ there is an equivalent vector equilibrium problem.
Keywords: biorthogonal ensembles; vector equilibrium problem; random matrix theory; logarithmic potential theory. 
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     author = {Arno B. J. Kuijlaars},
     title = {A {Vector} {Equilibrium} {Problem} for {Muttalib{\textendash}Borodin} {Biorthogonal} {Ensembles}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a64/}
}
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Arno B. J. Kuijlaars. A Vector Equilibrium Problem for Muttalib–Borodin Biorthogonal Ensembles. Symmetry, integrability and geometry: methods and applications, Tome 12 (2016). http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a64/

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