| dc.contributor.author | Bufetov, Alexey | |
| dc.contributor.author | Borodin, Alexei | |
| dc.date.accessioned | 2013-08-14T17:56:53Z | |
| dc.date.available | 2013-08-14T17:56:53Z | |
| dc.date.issued | 2013-04 | |
| dc.date.submitted | 2012-05 | |
| dc.identifier.issn | 1072-3374 | |
| dc.identifier.issn | 1573-8795 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/79873 | |
| dc.description | Original Manuscript March 14, 2012 | en_US |
| dc.description.abstract | We study the asymptotics of traces of (noncommutative) monomials formed by the 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 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 | Springer-Verlag | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s10958-013-1257-1 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | A CLT Plancherel representations of the infinite-dimensional unitary group | en_US |
| dc.title.alternative | A CLT for Plancherel representations of the infinite-dimensional unitary group | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Borodin, A., and A. Bufetov. “A CLT Plancherel representations of the infinite-dimensional unitary group.” Journal of Mathematical Sciences 190, no. 3 (April 20, 2013): 419-426. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Borodin, Alexei | en_US |
| dc.relation.journal | Journal of Mathematical Sciences | 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, A.; Bufetov, A. | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-2913-5238 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
