The Size of the Largest Part of Random Weighted Partitions of Large Integers

DOI10.1017/S0963548313000047zbMath1268.05022arXiv1107.4754MaRDI QIDQ4921571

Ljuben R. Mutafchiev

Publication date: 13 May 2013

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4754

zbMATH Keywords

asymptoticsnumber of partitionsdistribution functionGumbel distributionDirichlet generating series\(D(s) = \sum^\infty_{k=1} b_k k^{-s}\)Bose-Einstein modelMeinardus schemerandom weighted partitionsequence of nonnegative numbers

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05)

Related Items (4)

The limiting distribution of the hook length of a randomly chosen cell in a random Young diagram ⋮ Asymptotic analysis of expectations of plane partition statistics ⋮ An asymptotic scheme for analysis of expectations of plane partition statistics ⋮ Sampling part sizes of random integer partitions

Cites Work

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• Statistical mechanics of combinatorial partitions, and their limit shapes
• Asymptotic formula for a partition function of reversible coagulation-fragmentation processes
• Fluctuations of the maximal particle energy of the quantum ideal gas and random partitions
• Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof
• Logarithmic combinatorial structures: A probabilistic approach
• The distribution of the number of summands in the partitions of a positive integer
• On Dimensions of a Random Solid Diagram

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