A central limit theorem for extremal characters of the infinite symmetric group.

DOI10.1007/S10688-012-0014-4zbMath1273.60023arXiv1105.1519OpenAlexW2080952873MaRDI QIDQ366058

Alexey I. Bufetov

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1519

zbMATH Keywords

Young diagramsinfinite symmetric groupextremal characters

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial aspects of representation theory (05E10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

Law of large numbers for infinite random matrices over a finite field ⋮ Central measures of continuous graded graphs: the case of distinct frequencies

Cites Work

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• Shuffle invariance of the super-RSK algorithm
• Harmonic analysis on the infinite symmetric group
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Asymptotics of \(q\)-Plancherel measures.
• Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
• Longest Increasing and Decreasing Subsequences
• The Characters of the Infinite Symmetric Group and Probability Properties of the Robinson–Schensted–Knuth Algorithm
• Discrete orthogonal polynomial ensembles and the Plancherel measure

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