| dc.contributor.author | Borodin, Alexei | |
| dc.contributor.author | Bufetov, Alexey | |
| dc.date.accessioned | 2015-01-13T17:29:35Z | |
| dc.date.available | 2015-01-13T17:29:35Z | |
| dc.date.issued | 2014-08 | |
| dc.date.submitted | 2013-12 | |
| dc.identifier.issn | 0012-7094 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/92824 | |
| dc.description.abstract | We study asymptotics of traces of (noncommutative) monomials formed by images of certain elements of the universal enveloping algebra of the infinite-dimensional unitary group in its Plancherel representations. We prove that they converge to (commutative) moments of a Gaussian process that can be viewed as a collection of simply yet nontrivially correlated two-dimensional Gaussian free fields. The limiting process has previously arisen via the global scaling limit of spectra for submatrices of Wigner Hermitian random matrices. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1056390) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Duke University Press | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1215/00127094-2795217 | 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 | Plancherel representations of U(∞) and correlated Gaussian free fields | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Borodin, Alexei, and Alexey Bufetov. “Plancherel Representations of U(∞) and Correlated Gaussian Free Fields.” Duke Mathematical Journal 163, no. 11 (August 2014): 2109–2158. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Borodin, Alexei | en_US |
| dc.relation.journal | Duke Mathematical Journal | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Borodin, Alexei; Bufetov, Alexey | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-2913-5238 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
