Ercolani, Nicholas M., Jansen, Sabine and Ueltschi, Daniel (2014) Random partitions in statistical mechanics. Electronic Journal of Probability, Volume 19 . pp. 1-37. doi:10.1214/EJP.v19-3244 ISSN 1083-6489.

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Limit theorems (Probability theory), Stochastic processes, Statistical mechanics
Journal or Publication Title:	Electronic Journal of Probability
Publisher:	University of Washington. Dept. of Mathematics
ISSN:	1083-6489
Official Date:	9 September 2014
Dates:	Date Event 9 September 2014 Published
Volume:	Volume 19
Number of Pages:	37
Page Range:	pp. 1-37
DOI:	10.1214/EJP.v19-3244
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	28 December 2015
Date of first compliant Open Access:	28 December 2015
Funder:	National Science Foundation (U.S.) (NSF), Engineering and Physical Sciences Research Council (EPSRC), European Research Council (ERC)
Grant number:	DMS-1212167 (NSF), EP/G056390/1 (EPSRC), 267356 (ERC

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