Unified derivation of the limit shape for multiplicative ensembles of random integer partitions with equiweighted parts

DOI10.1002/rsa.20540zbMath1322.05017DBLPjournals/rsa/Bogachev15arXiv1111.3311OpenAlexW3100471726WikidataQ59899515 ScholiaQ59899515MaRDI QIDQ3192380

Leonid V. Bogachev

Publication date: 12 October 2015

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3311

zbMATH Keywords

generating functionscumulantsinteger partitionslocal limit theoremYoung diagramslimit shape

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05)

Related Items (8)

The limiting distribution of the hook length of a randomly chosen cell in a random Young diagram ⋮ On the second order fluctuations for minimal difference partitions ⋮ On the fluctuations for multiplicative ensembles of random integer partitions with equiweighted parts ⋮ Limit shape of random convex polygonal lines: even more universality ⋮ Asymptotic enumeration by Khintchine-Meinardus probabilistic method: necessary and sufficient conditions for sub-exponential growth ⋮ Limit shapes for Gibbs partitions of sets ⋮ Limit shape of minimal difference partitions and fractional statistics ⋮ Limit Shapes via Bijections

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