Integer partitions and exclusion statistics

This is the authors' abstract. We don't add key points for this paper.

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. PACS numbers: 05.30.Jp, 05.30.Pr, 02.10.Ox