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SIGMA, 2016, Volume 12, 065, 15 pages (Mi sigma1147)  

This article is cited in 2 scientific papers (total in 2 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

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.


DOI: https://doi.org/10.3842/SIGMA.2016.065

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Full text: http://www.emis.de/journals/SIGMA/2016/065/
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Bibliographic databases:

ArXiv: 1604.03070
MSC: 31A05; 60B20
Received: April 12, 2016; in final form July 3, 2016; Published online July 5, 2016
Language:

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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\by Arno~B.~J.~Kuijlaars
\paper A Vector Equilibrium Problem for Muttalib--Borodin Biorthogonal Ensembles
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\yr 2016
\vol 12
\papernumber 065
\totalpages 15
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\crossref{https://doi.org/10.3842/SIGMA.2016.065}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. L. Zhang, “On Wright's generalized Bessel kernel”, Physica D, 340 (2017), 27–39  crossref  mathscinet  zmath  isi  scopus
    2. Claeys T., Girotti M., Stivigny D., “Large Gap Asymptotics At the Hard Edge For Product Random Matrices and Muttalib-Borodin Ensembles”, Int. Math. Res. Notices, 2019, no. 9, 2800–2847  crossref  isi
  • Symmetry, Integrability and Geometry: Methods and Applications
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