Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4524

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DC Field	Value	Language
dc.contributor.author	Comtet, Alain	-
dc.contributor.author	Majumdar, Satya N.	-
dc.contributor.author	Ouvry, Stephane	-
dc.contributor.author	Sabhapandit, Sanjib	-
dc.date.accessioned	2012-05-24T03:47:45Z	-
dc.date.available	2012-05-24T03:47:45Z	-
dc.date.issued	2007-10	-
dc.identifier.citation	Journal of Statistical Mechanics, 2007, p10001	en
dc.identifier.uri	http://hdl.handle.net/2289/4524	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.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.	en
dc.language.iso	en	en
dc.publisher	IOP Publishing Ltd	en
dc.relation.uri	http://arxiv.org/abs/0707.2312	en
dc.relation.uri	http://dx.doi.org/10.1088/1742-5468/2007/10/P10001	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2007JSMTE..10....1C	en
dc.rights	2007 IOP Publishing Ltd	en
dc.title	Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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