Plancherel representations of U(∞) and correlated Gaussian free fields
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 vi...
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| Format: | Article |
| Language: | English |
| Published: |
Duke University Press,
2015-01-13T17:29:35Z.
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| Subjects: | |
| Online Access: | Get fulltext |