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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 065, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.065 (Mi sigma1147) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A Vector Equilibrium Problem for Muttalib–Borodin Biorthogonal Ensembles

Arno B. J. Kuijlaars

Katholieke Universiteit Leuven, Department of Mathematics, Celestijnenlaan 200B box 2400, BE-3001 Leuven, Belgium
Full-text PDF (373 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2016.065
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.
Keywords: biorthogonal ensembles; vector equilibrium problem; random matrix theory; logarithmic potential theory.
Funding agency Grant number
KU Leuven OT/12/073
Fonds Wetenschappelijk Onderzoek G.0934.13
G.0864.16
Belgian Federal Science Policy P07/18
The author is supported by long term structural funding–Methusalem grant of the Flemish Government, by KU Leuven Research Grant OT/12/073, by the Belgian Interuniversity Attraction Pole P07/18, and by FWO Flanders projects G.0934.13 and G.0864.16.
Received: April 12, 2016; in final form July 3, 2016; Published online July 5, 2016
Bibliographic databases:
Document Type: Article
MSC: 31A05; 60B20
Language: English
Citation: Arno B. J. Kuijlaars, “A Vector Equilibrium Problem for Muttalib–Borodin Biorthogonal Ensembles”, SIGMA, 12 (2016), 065, 15 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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