| dc.contributor.author | Borodin, Alexei | |
| dc.contributor.author | Gorin, Vadim | |
| dc.date.accessioned | 2018-03-06T14:59:48Z | |
| dc.date.available | 2018-03-06T14:59:48Z | |
| dc.date.issued | 2016-09 | |
| dc.date.submitted | 2016-10 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/114025 | |
| 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 equa-tion 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. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-105639) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-160790) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-140756) | en_US |
| dc.publisher | Raboud University | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.3842/SIGMA.2016.102 | en_US |
| dc.rights | Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Symmetry, Integrability and Geometry: Methods and Applications | en_US |
| dc.title | Moments Match between the KPZ Equation and the Airy Point Process | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Borodin, Alexei, and Vadim Gorin. “Moments Match Between the KPZ Equation and the Airy Point Process.” Symmetry, Integrability and Geometry: Methods and Applications 12, 102 (October 2016) © 2016 Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Raboud University | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Gorin, Vadim | |
| dc.contributor.mitauthor | Borodin, Alexei | |
| dc.relation.journal | Symmetry, Integrability and Geometry: Methods and Applications | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2018-03-02T17:43:20Z | |
| dspace.orderedauthors | Borodin, Alexei; Gorin, Vadim | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-9828-5862 | |
| dc.identifier.orcid | https://orcid.org/0000-0002-2913-5238 | |
| mit.license | PUBLISHER_CC | en_US |
