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2014 Random partitions in statistical mechanics
Nicholas Ercolani, Sabine Jansen, Daniel Ueltschi
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Electron. J. Probab. 19: 1-37 (2014). DOI: 10.1214/EJP.v19-3244

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 Ercolani. Sabine Jansen. Daniel Ueltschi. "Random partitions in statistical mechanics." Electron. J. Probab. 19 1 - 37, 2014. https://doi.org/10.1214/EJP.v19-3244

Information

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

zbMATH: 1323.60128
MathSciNet: MR3263639
Digital Object Identifier: 10.1214/EJP.v19-3244

Subjects:
Primary: 60F05
Secondary: 60K35 , 82B05

Keywords: (inhomogeneous) zero-range process , Bose-Einstein condensation , chain of Chinese restaurants , heavy-tailed variables , Infinitely divisible laws , Spatial random partitions , Sums of independent random variables

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