Olle Haggstrom, Johan Jonasson, Russell Lyons
Published 2001-04-17, updated 2001-10-12Version 2
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.
Journal: Bernoulli 8 (2002), no. 3, 275--294
Gibbs measures of Potts model on Cayley trees: a survey and applications
Central limit theorems in Random cluster and Potts Models
The phase transitions of the planar random-cluster and Potts models with q larger than 1 are sharp
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