English

Poisson approximation for large clusters in the supercritical FK model

Probability 2007-05-28 v1

Abstract

Using the Chen-Stein method, we show that the spatial distribution of large finite clusters in the supercritical FK model approximates a Poisson process when the ratio weak mixing property holds.

Keywords

Cite

@article{arxiv.0705.3781,
  title  = {Poisson approximation for large clusters in the supercritical FK model},
  author = {Olivier Couronné},
  journal= {arXiv preprint arXiv:0705.3781},
  year   = {2007}
}
R2 v1 2026-06-21T08:32:06.108Z