Integer Partitions and Exclusion Statistics

Details Integer Partitions and Exclusion Statistics Integer Partitions and Exclusion Statistics

2007-05-18

arxiv.org/abs/0705.2640v1

J. Phys. A: Math.Theor. 40, 11255 (2007)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 .eps figures included

Scientific paper

10.1088/1751-8113/40/37/004

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.

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