Random partitions in statistical mechanics

Nicholas M. Ercolani, Sabine Jansen, Daniel Ueltschi

Research output: Contribution to journalArticle

5 Scopus citations

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.

Original languageEnglish (US)
JournalElectronic Journal of Probability
Volume19
DOIs
StatePublished - Jan 1 2014

Keywords

  • (Inhomogeneous) zerorange process
  • Bose–Einstein condensation
  • Chain of Chinese restaurants
  • Heavytailed variables
  • Infinitely divisible laws
  • Spatial random partitions
  • Sums of independent random variables

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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