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Title: Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams
Authors: Comtet, Alain
Majumdar, Satya N.
Ouvry, Stephane
Sabhapandit, Sanjib
Issue Date: Oct-2007
Publisher: IOP Publishing Ltd
Citation: Journal of Statistical Mechanics, 2007, p10001
Abstract: We compute the limit shapes of the Young diagrams of the minimal difference p partitions and provide a simple physical interpretation for the limit shapes. We also calculate the asymptotic distribution of the largest part of the Young diagram and show that the scaled distribution has a Gumbel form for all p. This Gumbel statistics for the largest part remains unchanged even for general partitions of the form E=\sum_i n_i i^{1/\nu } with ν>0 where ni is the number of times the part i appears.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
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Copyright: 2007 IOP Publishing Ltd
Appears in Collections:Research Papers (TP)

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