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Random partitions in statistical mechanics

  
@article{EJP3244,
	author = {Nicholas Ercolani and Sabine Jansen and Daniel Ueltschi},
	title = {Random partitions in statistical mechanics},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {19},
	year = {2014},
	keywords = {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.},
	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.},
	pages = {no. 81, 1-37},
	issn = {1083-6489},
	doi = {10.1214/EJP.v19-3244},    
        url = {http://ejp.ejpecp.org/article/view/3244}}