Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 40, Issue 37, Pages 11255-11269Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/37/004
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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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