Random partitions in statistical mechanics

@article{Ercolani2014RandomPI,
  title={Random partitions in statistical mechanics},
  author={Nicholas M. Ercolani and Sabine Jansen and Daniel Ueltschi},
  journal={Electronic Journal of Probability},
  year={2014},
  volume={19},
  pages={1-37}
}
  • Nicholas M. Ercolani, Sabine Jansen, Daniel Ueltschi
  • Published 2014
  • Mathematics, Physics
  • Electronic Journal of Probability
  • 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. 

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