Random partitions in statistical mechanics

Nicholas M. Ercolani; Sabine Jansen; Daniel Ueltschi

doi:10.1214/EJP.v19-3244

Random partitions in statistical mechanics

Nicholas M. Ercolani, Sabine Jansen, Daniel Ueltschi

Research output: Contribution to journal › Article › peer-review

6 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 language	English (US)
Journal	Electronic Journal of Probability
Volume	19
DOIs	https://doi.org/10.1214/EJP.v19-3244
State	Published - 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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10.1214/EJP.v19-3244

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title = "Random partitions in statistical mechanics",

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.",

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

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T1 - Random partitions in statistical mechanics

AU - Ercolani, Nicholas M.

AU - Jansen, Sabine

AU - Ueltschi, Daniel

PY - 2014

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AB - 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.

KW - (Inhomogeneous) zerorange process

KW - Bose–Einstein condensation

KW - Chain of Chinese restaurants

KW - Heavytailed variables

KW - Infinitely divisible laws

KW - Spatial random partitions

KW - Sums of independent random variables

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SN - 1083-6489

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JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

ER -

Random partitions in statistical mechanics

Abstract

Keywords

ASJC Scopus subject areas

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