A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles

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dc.contributor.authorKuijlaars, A.B.J.
dc.date.accessioned2019-02-15T19:15:31Z
dc.date.available2019-02-15T19:15:31Z
dc.date.issued2016
dc.description.abstractThe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Asymptotics and Universality in Random Matrices, Random Growth Processes, Integrable Systems and Statistical Physics in honor of Percy Deift and Craig Tracy. The full collection is available at http://www.emis.de/journals/SIGMA/Deift-Tracy.html. 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.uk_UA
dc.identifier.citationA Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles / A.B.J. Kuijlaars // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 31A05; 60B20
dc.identifier.otherDOI:10.3842/SIGMA.2016.065
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147762
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensemblesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік