Electronic Journal of Probability

Random partitions in statistical mechanics

Nicholas Ercolani, Sabine Jansen, and Daniel Ueltschi

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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.

Article information

Electron. J. Probab. Volume 19 (2014), paper no. 82, 37 pp.

Accepted: 9 September 2014
First available in Project Euclid: 4 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60F05: Central limit and other weak theorems
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82B05: Classical equilibrium statistical mechanics (general)

Spatial random partitions Bose-Einstein condensation (inhomogeneous) zero-range process chain of Chinese restaurants sums of independent random variables heavy-tailed variables infinitely divisible laws

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Ercolani, Nicholas; Jansen, Sabine; Ueltschi, Daniel. Random partitions in statistical mechanics. Electron. J. Probab. 19 (2014), paper no. 82, 37 pp. doi:10.1214/EJP.v19-3244. https://projecteuclid.org/euclid.ejp/1465065724

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