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http://hdl.handle.net/2289/4524
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DC Field | Value | Language |
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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) |
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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