A CLT Plancherel representations of the infinite-dimensional unitary group
Original Manuscript March 14, 2012
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2013
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| Online Access: | http://hdl.handle.net/1721.1/79873 https://orcid.org/0000-0002-2913-5238 |
| _version_ | 1826216710233915392 |
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| author | Bufetov, Alexey Borodin, Alexei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Bufetov, Alexey Borodin, Alexei |
| author_sort | Bufetov, Alexey |
| collection | MIT |
| description | Original Manuscript March 14, 2012 |
| first_indexed | 2024-09-23T16:51:52Z |
| format | Article |
| id | mit-1721.1/79873 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:51:52Z |
| publishDate | 2013 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/798732022-09-29T22:00:00Z A CLT Plancherel representations of the infinite-dimensional unitary group A CLT for Plancherel representations of the infinite-dimensional unitary group Bufetov, Alexey Borodin, Alexei Massachusetts Institute of Technology. Department of Mathematics Borodin, Alexei Original Manuscript March 14, 2012 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. National Science Foundation (U.S.) (Grant DMS-1056390) 2013-08-14T17:56:53Z 2013-08-14T17:56:53Z 2013-04 2012-05 Article http://purl.org/eprint/type/JournalArticle 1072-3374 1573-8795 http://hdl.handle.net/1721.1/79873 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. https://orcid.org/0000-0002-2913-5238 en_US http://dx.doi.org/10.1007/s10958-013-1257-1 Journal of Mathematical Sciences Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Bufetov, Alexey Borodin, Alexei A CLT Plancherel representations of the infinite-dimensional unitary group |
| title | A CLT Plancherel representations of the infinite-dimensional unitary group |
| title_full | A CLT Plancherel representations of the infinite-dimensional unitary group |
| title_fullStr | A CLT Plancherel representations of the infinite-dimensional unitary group |
| title_full_unstemmed | A CLT Plancherel representations of the infinite-dimensional unitary group |
| title_short | A CLT Plancherel representations of the infinite-dimensional unitary group |
| title_sort | clt plancherel representations of the infinite dimensional unitary group |
| url | http://hdl.handle.net/1721.1/79873 https://orcid.org/0000-0002-2913-5238 |
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