Coupling and Bernoullicity in random-cluster and Potts models

Olle Haggstrom; Johan Jonasson; Russell Lyons

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Coupling and Bernoullicity in random-cluster and Potts models

Olle Haggstrom·Johan Jonasson·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.

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Olle Haggstrom, Johan Jonasson, Russell Lyons. 2001-10-12. Coupling and Bernoullicity in random-cluster and Potts models. https://arxiv.org/abs/math/0104174

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