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Moments Match between the KPZ Equation and the Airy Point Process

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dc.contributor.author Borodin, A.
dc.contributor.author Gorin, V.
dc.date.accessioned 2019-02-16T16:26:38Z
dc.date.available 2019-02-16T16:26:38Z
dc.date.issued 2016
dc.identifier.citation Moments 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.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 60B20; 60H15; 33C10
dc.identifier.other DOI:10.3842/SIGMA.2016.102
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/148003
dc.description.abstract The 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.sponsorship This 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.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Moments Match between the KPZ Equation and the Airy Point Process uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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