Bernoulli

  • Bernoulli
  • Volume 8, Number 3 (2002), 275-294.

Coupling and Bernoullicity in random-cluster and Potts models

Olle Häggström, Johan Jonasson, and Russell Lyons

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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.

Article information

Source
Bernoulli Volume 8, Number 3 (2002), 275-294.

Dates
First available in Project Euclid: 8 March 2004

Permanent link to this document
http://projecteuclid.org/euclid.bj/1078779871

Mathematical Reviews number (MathSciNet)
MR2003f:60173

Zentralblatt MATH identifier
1012.60086

Keywords
Cayley graph coupling from the past stochastic domination transitive unimodular

Citation

Häggström, Olle; Jonasson, Johan; Lyons, Russell. Coupling and Bernoullicity in random-cluster and Potts models. Bernoulli 8 (2002), no. 3, 275--294. http://projecteuclid.org/euclid.bj/1078779871.


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