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Random partitions in statistical mechanics


 
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1. Title Title of document Random partitions in statistical mechanics
 
2. Creator Author's name, affiliation, country Nicholas M. Ercolani; The University of Arizona; United States
 
2. Creator Author's name, affiliation, country Sabine Jansen; Ruhr-Universitaet Bochum; Germany
 
2. Creator Author's name, affiliation, country Daniel Ueltschi; University of Warwick; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) 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.
 
3. Subject Subject classification 60F05, 60K35, 82B05
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF (grant DMS-1212167); EPSRC (grant EP/G056390/1); ERC (advanced grant 267356 VARIS)
 
7. Date (YYYY-MM-DD) 2014-09-09
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/3244
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3244
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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