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arXiv · 0705.2640

Integer Partitions and Exclusion Statistics

Alain Comtet·Satya N. Majumdar·Stephane Ouvry
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Abstract

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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Alain Comtet, Satya N. Majumdar, Stephane Ouvry. 2007-05-18. Integer Partitions and Exclusion Statistics. https://doi.org/10.1088/1751-8113/40/37/004

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