Random partitions in statistical mechanics

Ercolani, Nicholas, Jansen, Sabine and Ueltschi, Daniel (2014) Random partitions in statistical mechanics. Electronic Journal of Probability, 19. p. 82. ISSN 1083-6489

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Richard Chambers
Date Deposited: 13 Jan 2017 17:05
Last Modified: 06 Mar 2017 15:06
URI: http://sro.sussex.ac.uk/id/eprint/66202

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