Gaussian fluctuations of Young diagrams under the Plancherel measure

DOI10.1098/rspa.2006.1808zbMath1200.05248OpenAlexW2143028334MaRDI QIDQ5443763

Zhonggen Su, Leonid V. Bogachev

Publication date: 22 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2006.1808

zbMATH Keywords

partitionsPlancherel measurecentral limit theoremYoung diagramslimit shapedeterminantal random point process

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05)

Related Items (7)

Weak convergence of renewal shot noise processes in the case of slowly varying normalization ⋮ Asymptotics of some Plancherel averages via polynomiality results ⋮ Core size of a random partition for the Plancherel measure ⋮ On increasing subsequences of minimal Erdős-Szekeres permutations ⋮ Quantum mechanics of Plancherel growth ⋮ Transition distributions of Young diagrams under periodically weighted Plancherel measures ⋮ Normal Convergence for Random Partitions with Multiplicative Measures

Cites Work

• A variational problem for random Young tableaux
• Level-spacing distributions and the Airy kernel
• Independent process approximations for random combinatorial structures
• Logarithmic combinatorial structures: A probabilistic approach
• Gaussian fluctuations of eigenvalues in the GUE
• Gaussian limit for determinantal random point fields.
• On the distribution of the length of the longest increasing subsequence of random permutations
• Asymptotics of Plancherel measures for symmetric groups
• Discrete orthogonal polynomial ensembles and the Plancherel measure
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