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

页码：11255 / 11269

页数：15

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