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Random partitions in statistical mechanics

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posted on 2023-06-09, 04:44 authored by Nicholas Ercolani, Sabine Jansen, Daniel Ueltschi
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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Publication status

  • Published

File Version

  • Published version

Journal

Electronic Journal of Probability

ISSN

1083-6489

Publisher

Institute of Mathematical Statistics

Volume

19

Page range

82

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-01-13

First Open Access (FOA) Date

2017-01-13

First Compliant Deposit (FCD) Date

2017-01-13

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