Limit shapes of Young diagrams. Two elementary approaches

DOI10.1007/s10958-010-9845-9zbMath1288.60009OpenAlexW2050977941MaRDI QIDQ2451640

Fedor Petrov

Publication date: 4 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-010-9845-9

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05) Analytic theory of partitions (11P82)

Related Items (4)

Maximum entropy and integer partitions ⋮ Neighborhood growth dynamics on the Hamming plane ⋮ Limit shapes for unimodal sequences ⋮ Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams

Cites Work

• Statistical mechanics of combinatorial partitions, and their limit shapes
• Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group
• Asymptotics of the uniform measure on simplices, and random compositions and partitions.
• On some problems of the statistical theory of partitions with application to characters of the symmetric group. I
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