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SIGMA, 2016, Volume 12, 065, 15 pages
(Mi sigma1147)
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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
 Full text:
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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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\paper A Vector Equilibrium Problem for Muttalib--Borodin Biorthogonal Ensembles
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This publication is cited in the following articles:
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L. Zhang, “On Wright's generalized Bessel kernel”, Physica D, 340 (2017), 27–39
  -
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
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