Random partitions in statistical mechanics

Nicholas M Ercolani, Sabine Jansen, Daniel Ueltschi

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 - 2014

Fingerprint

Random Partitions
Statistical Mechanics
Zero-range Process
Bose Gas
Ideal Gas
Stochastic Processes
Permutation
Clustering
Invariant
Statistical mechanics
Model

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

Cite this

Random partitions in statistical mechanics. / Ercolani, Nicholas M; Jansen, Sabine; Ueltschi, Daniel.

In: Electronic Journal of Probability, Vol. 19, 2014.

Research output: Contribution to journalArticle

@article{fe4898d6668944f1bbd3b264ce6cf5f4,
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",
author = "Ercolani, {Nicholas M} and Sabine Jansen and Daniel Ueltschi",
year = "2014",
doi = "10.1214/EJP.v19-3244",
language = "English (US)",
volume = "19",
journal = "Electronic Journal of Probability",
issn = "1083-6489",
publisher = "Institute of Mathematical Statistics",

}

TY - JOUR

T1 - Random partitions in statistical mechanics

AU - Ercolani, Nicholas M

AU - Jansen, Sabine

AU - Ueltschi, Daniel

PY - 2014

Y1 - 2014

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84908192113&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908192113&partnerID=8YFLogxK

U2 - 10.1214/EJP.v19-3244

DO - 10.1214/EJP.v19-3244

M3 - Article

VL - 19

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

SN - 1083-6489

ER -