Coupling and Bernoullicity in random-cluster and Potts models
Probability
2007-05-23 v2
Abstract
An explicit coupling construction of random-cluster measures is presented. As one of the applications of the construction, the Potts model on amenable Cayley graphs is shown to exhibit at every temperature the mixing property known as Bernoullicity.
Cite
@article{arxiv.math/0104174,
title = {Coupling and Bernoullicity in random-cluster and Potts models},
author = {Olle Haggstrom and Johan Jonasson and Russell Lyons},
journal= {arXiv preprint arXiv:math/0104174},
year = {2007}
}