Random partitions in statistical mechanics

Autor: Ercolani, Nicholas M., Jansen, Sabine, Ueltschi, Daniel
Rok vydání: 2014
Předmět:
Zdroj: Electron. J. Probab. 19, no. 82, 1-37 (2014)
Druh dokumentu: Working Paper
DOI: 10.1214/EJP.v19-3244
Popis: We consider a family of distributions on spatial random partitions that provide a coupling between different models of interest: the ideal Bose gas; the zero-range process; particle clustering; and spatial permutations. These distributions are invariant for a "chain of Chinese restaurants" stochastic process. We obtain results for the distribution of the size of the largest component.
Comment: 38 pages, 3 figures
Databáze: arXiv