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April 2002 Coupling and Bernoullicity in random-cluster and Potts models
Olle Häggström, Johan Jonasson, Russell Lyons
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Bernoulli 8(3): 275-294 (April 2002).


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.


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Olle Häggström. Johan Jonasson. Russell Lyons. "Coupling and Bernoullicity in random-cluster and Potts models." Bernoulli 8 (3) 275 - 294, April 2002.


Published: April 2002
First available in Project Euclid: 8 March 2004

zbMATH: 1012.60086
MathSciNet: MR2003F:60173

Keywords: Cayley graph , Coupling from the past , stochastic domination , transitive , unimodular

Rights: Copyright © 2002 Bernoulli Society for Mathematical Statistics and Probability

Vol.8 • No. 3 • April 2002
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