Random partitions in statistical mechanics

被引：6

作者：

Ercolani, Nicholas M. ^{[1
]}

Jansen, Sabine ^{[2
]}

Ueltschi, Daniel ^{[3
]}

机构：

[1] Univ Arizona, Tucson, AZ 85721 USA

[2] Ruhr Univ Bochum, Bochum, Germany

[3] Univ Warwick, Coventry CV4 7AL, W Midlands, England

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2014年 / 19卷

基金：

英国工程与自然科学研究理事会;

关键词：

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; SPATIAL RANDOM PERMUTATIONS; COMBINATORIAL PARTITIONS; ASYMPTOTIC-BEHAVIOR; BOSE-GAS; LIMIT; CONDENSATION; COAGULATION; DISTRIBUTIONS; STATIONARY; MODELS;

D O I：

10.1214/EJP.v19-3244

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

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页数：37

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