Alain Comtet et al 2007 J. Phys. A: Math. Theor. 40 11255 doi:10.1088/1751-8113/40/37/004
Alain Comtet1,2, Satya N Majumdar1 and Stéphane Ouvry1
Show affiliationsWe 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.
Issue 37 (14 September 2007)
Received 16 May 2007, in final form 31 July 2007
Published 29 August 2007
Alain Comtet et al 2007 J. Phys. A: Math. Theor. 40 11255