A CLT for Plancherel representations of the infinite-dimensional unitary group

DOI10.1007/s10958-013-1257-1zbMath1278.60045arXiv1203.3010OpenAlexW1722779504MaRDI QIDQ357286

Alexei Borodin, Alexander I. Bufetov

Publication date: 30 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3010

zbMATH Keywords

random matricesrepresentationscentral limit theoremGaussian free fieldheight functioninfinite-dimensional unitary groupPlancherel characters

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Combinatorial probability (60C05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (3)

Multiplicative characters and Gaussian fluctuation limits ⋮ Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields ⋮ Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients

Cites Work

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• Anisotropic growth of random surfaces in \({2+1}\) dimensions
• Shifted Jack polynomials, binomial formula, and applications
• Asymptotics of Plancherel-type random partitions
• Entropy of Schur-Weyl measures
• Gaussian free fields for mathematicians
• CLT for spectra of submatrices of Wigner random matrices
• Random permutations and related topics

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