Explicit Isoperimetric Constants and Phase Transitions in the Random-Cluster Model
نویسندگان
چکیده
منابع مشابه
Explicit isoperimetric constants, phase transitions in the random-cluster and Potts models, and Bernoullicity
The random-cluster model is a dependent percolation model that has applications in the study of Ising and Potts models. In this paper, several new results for the random-cluster model with cluster parameter q ≥ 1 are obtained. These include an explicit pointwise dynamical construction of random-cluster measures for arbitrary graphs, and for unimodular transitive graphs, lack of percolation for ...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2002
ISSN: 0091-1798
DOI: 10.1214/aop/1020107775