Random partitions in statistical mechanics
Autor: | Ercolani, Nicholas M., Jansen, Sabine, Ueltschi, Daniel |
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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 |
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