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dc.contributor.authorCorwin, Ivan
dc.contributor.authorFerrari, Patrik L.
dc.contributor.authorBorodin, Alexei
dc.date.accessioned2018-10-18T17:00:04Z
dc.date.available2018-10-18T17:00:04Z
dc.date.issued2017-10
dc.identifier.issn0178-8051
dc.identifier.issn1432-2064
dc.identifier.urihttp://hdl.handle.net/1721.1/118607
dc.description.abstractAbstract We consider a discrete model for anisotropic (2 + 1)-dimensional growth of an interface height function. Owing to a connection with q-Whittaker functions, this system enjoys many explicit integral formulas. By considering certain Gaussian stochastic differential equation limits of the model we are able to prove a space-time limit of covariances to those of the (2 + 1)-dimensional additive stochastic heat equation (or Edwards-Wilkinson equation) along characteristic directions. In particular, the bulk height function converges to the Gaussian free field which evolves according to this stochastic PDE. Keywords: 2+1 growth models, KPZ universality class, q-Whittaker processes, Gaussian Free Field, Space-time processen_US
dc.description.sponsorshipGalileo Galilei Institute for Theoretical Physics (Arcetri, Italy)en_US
dc.description.sponsorshipKavli Institute for Theoretical Physicsen_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant PHY-1125915)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant DMS-1056390)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (Grant DMS-1607901)en_US
dc.description.sponsorshipSimons Foundation. Postdoctoral Fellowshipen_US
dc.description.sponsorshipRadcliffe Institute for Advanced Study (Fellowship)en_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.isversionofhttps://doi.org/10.1007/s00440-017-0809-6en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceSpringer Berlin Heidelbergen_US
dc.titleAnisotropic (2+1)d growth and Gaussian limits of q-Whittaker processesen_US
dc.typeArticleen_US
dc.identifier.citationBorodin, Alexei, et al. “Anisotropic (2+1)d Growth and Gaussian Limits of q-Whittaker Processes.” Probability Theory and Related Fields, vol. 172, no. 1–2, Oct. 2018, pp. 245–321.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.contributor.mitauthorBorodin, Alexei
dc.relation.journalProbability Theory and Related Fieldsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-09-07T03:47:55Z
dc.language.rfc3066en
dc.rights.holderSpringer-Verlag GmbH Germany
dspace.orderedauthorsBorodin, Alexei; Corwin, Ivan; Ferrari, Patrik L.en_US
dspace.embargo.termsNen
dc.identifier.orcidhttps://orcid.org/0000-0002-2913-5238
mit.licenseOPEN_ACCESS_POLICYen_US


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