Integer Partitions and Exclusion Statistics
Statistical Mechanics
2009-11-13 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We provide a combinatorial description of exclusion statistics in terms of minimal difference partitions. We compute the probability distribution of the number of parts in a random minimal partition. It is shown that the bosonic point is a repulsive fixed point for which the limiting distribution has a Gumbel form. For all positive the distribution is shown to be Gaussian.
Keywords
Cite
@article{arxiv.0705.2640,
title = {Integer Partitions and Exclusion Statistics},
author = {Alain Comtet and Satya N. Majumdar and Stephane Ouvry},
journal= {arXiv preprint arXiv:0705.2640},
year = {2009}
}