| dc.contributor.author | Borodin, Alexei | |
| dc.contributor.author | Gorin, Vadim | |
| dc.date.accessioned | 2017-07-12T17:45:59Z | |
| dc.date.available | 2017-07-12T17:45:59Z | |
| dc.date.issued | 2015-08 | |
| dc.date.submitted | 2013-06 | |
| dc.identifier.issn | 0010-3640 | |
| dc.identifier.issn | 1097-0312 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/110685 | |
| dc.description.abstract | We prove that the two-dimensional Gaussian free field describes the asymptotics of global fluctuations of a multilevel extension of the general β-Jacobi random matrix ensembles. Our approach is based on the connection of the Jacobi ensembles to a degeneration of the Macdonald processes that parallels the degeneration of the Macdonald polynomials to the Heckman-Opdam hypergeometric functions (of type A). We also discuss the β → ∞ limit. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Wiley Blackwell | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1002/cpa.21546 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | General β-Jacobi Corners Process and the Gaussian Free Field | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Borodin, Alexei, and Gorin, Vadim. “General β-Jacobi Corners Process and the Gaussian Free Field.” Communications on Pure and Applied Mathematics 68, no. 10 (October 2014): 1774–1844 © 2015 Wiley Periodicals, Inc | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Borodin, Alexei | |
| dc.contributor.mitauthor | Gorin, Vadim | |
| dc.relation.journal | Communications on Pure and Applied Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Borodin, Alexei; Gorin, Vadim | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-2913-5238 | |
| dc.identifier.orcid | https://orcid.org/0000-0002-9828-5862 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
