title: Combinatorial interpretation of Haldane-Wu fractional exclusion statistics.
abstract: Assuming that the maximal allowed number of identical particles in a state is an integer parameter, q, we derive the statistical weight and analyze the associated equation that defines the statistical distribution. The derived distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases q=1 and q--> infinity (n(i)/q-->1), respectively. We show that the derived statistical weight provides a natural combinatorial interpretation of Haldane-Wu fractional exclusion statistics, and present exact solutions of the distribution equation.
authors.affiliation: Department of Theoretical Physics, Institute for Basic Research, Eurasian National University, Astana 473021, Kazakhstan.
authors.forename: A K
authors.initials: AK
authors.lastname: Aringazin
authors.forename: M I
authors.initials: MI
authors.lastname: Mazhitov