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Coupling and Bernoullicity in random-cluster and Potts models (2002)

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.

Publication details
Download http://ProjectEuclid.org/getRecord?id=euclid.bj/1078779871
Publisher Bernoulli Society for Mathematical Statistics and Probability
Repository Project Euclid (Hosted at Cornell University Library) (United States)
Keywords Cayley graph, coupling from the past, stochastic domination, transitive, unimodular
Type text
Language Englisch