paper

Poisson approximation for large clusters in the supercritical FK model

arXiv:0705.3781

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.

17 pages

Poisson approximation for large clusters in the supercritical FK model · wovepaper