Occupancy statistics arising from weighted particle rearrangements

Journal of Physics A: Mathematical and Theoretical 40, 9179-9200 (2007).; International audience; The box-occupancy distributions arising from weighted rearrangements of a particle system are investigated. In the grand-canonical ensemble, they are characterized by determinantal joint probability generating functions. For doubly non-negative weight matrices, fractional occupancy statistics, generalizing Fermi-Dirac and Bose-Einstein statistics, can be defined. A spatially extended version of these balls-in-boxes problems is investigated.