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http://hdl.handle.net/2289/4524
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 arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4524 |
Alternative Location: | http://arxiv.org/abs/0707.2312 http://dx.doi.org/10.1088/1742-5468/2007/10/P10001 http://adsabs.harvard.edu/abs/2007JSMTE..10....1C |
Copyright: | 2007 IOP Publishing Ltd |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2007_Stat Mech theory and Expt_V10_p10001.pdf Restricted Access | Restricted Access | 533.81 kB | Adobe PDF | View/Open Request a copy |
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