Moments Match between the KPZ Equation and the Airy Point Process

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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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