Integer partitions and exclusion statistics

被引：22
|
作者：
Comtet, Alain [1 ]
Majumdar, Satya N.
Ouvry, Stephane
机构：
[1] Univ Paris 11, Lab Phys Theor & modeles Statist, CNRS, YNR 8626, F-91405 Orsay, France
[2] Inst Poincare, F-75005 Paris, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 37期
关键词：
D O I：
10.1088/1751-8113/40/37/004
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We provide a combinatorial description of exclusion statistics in terms of minimal difference p partitions. We compute the probability distribution of the number of parts in a random minimal p partition. It is shown that the bosonic point p = 0 is a repulsive fixed point for which the limiting distribution has a Gumbel form. For all positive p, the distribution is shown to be Gaussian.
引用
收藏
页码：11255 / 11269
页数：15
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