Random partitions in statistical mechanics
Sabine Jansen (Ruhr-Universitaet Bochum)
Daniel Ueltschi (University of Warwick)
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.
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Pages: 1-37
Publication Date: September 9, 2014
DOI: 10.1214/EJP.v19-3244
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