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arXiv · 1401.1442

Random partitions in statistical mechanics

Nicholas M. Ercolani·Sabine Jansen·Daniel Ueltschi
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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.

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Nicholas M. Ercolani, Sabine Jansen, Daniel Ueltschi. 2014-09-11. Random partitions in statistical mechanics. https://doi.org/10.1214/ejp.v19-3244

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