Limit shapes for growing extreme characters of \(U(\infty)\)

DOI10.1214/14-AAP1050zbMath1325.60013arXiv1311.5697OpenAlexW3121812617MaRDI QIDQ2354899

Alexei Borodin, Grigori Olshanski, Alexey I. Bufetov

Publication date: 27 July 2015

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5697

zbMATH Keywords

signatureprobability distributionsinfinite-dimensional unitary grouplimit shapesextreme characters

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (12)

Unitarily invariant ergodic matrices and free probability ⋮ Bulk universality for random lozenge tilings near straight boundaries and for tensor products ⋮ Asymptotics of random domino tilings of rectangular Aztec diamonds ⋮ Lozenge tilings with free boundaries ⋮ Asymptotic formulas for Macdonald polynomials and the boundary of the \((q,t)\)-Gelfand-Tsetlin graph ⋮ Integrable probability: from representation theory to MacDonald processes ⋮ Law of large numbers and central limit theorems through Jack generating functions ⋮ Two-dimensional anisotropic KPZ growth and limit shapes ⋮ Fluctuations of particle systems determined by Schur generating functions ⋮ Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields ⋮ Fourier transform on high-dimensional unitary groups with applications to random tilings ⋮ Representations of classical Lie groups and quantized free convolution

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