Moments Match between the KPZ Equation and the Airy Point Process

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dc.contributor.authorBorodin, A.
dc.contributor.authorGorin, V.
dc.date.accessioned2019-02-16T16:26:38Z
dc.date.available2019-02-16T16:26:38Z
dc.date.issued2016
dc.description.abstractThe results of Amir-Corwin-Quastel, Calabrese-Le Doussal-Rosso, Dotsenko, and Sasamoto-Spohn imply that the one-point distribution of the solution of the KPZ equation with the narrow wedge initial condition coincides with that for a multiplicative statistics of the Airy determinantal random point process. Taking Taylor coefficients of the two sides yields moment identities. We provide a simple direct proof of those via a combinatorial match of their multivariate integral representations.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. A.B. was partially supported by the NSF grants DMS-1056390 and DMS-1607901. V.G. was partially supported by the NSF grant DMS-1407562 and by the Sloan Research Fellowship.uk_UA
dc.identifier.citationMoments Match between the KPZ Equation and the Airy Point Process / A. Borodin, V. Gorin // 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: 60B20; 60H15; 33C10
dc.identifier.otherDOI:10.3842/SIGMA.2016.102
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148003
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMoments Match between the KPZ Equation and the Airy Point Processuk_UA
dc.typeArticleuk_UA

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