Comparison and Disjoint-occurrence Inequalities for Random-cluster Models

@inproceedings{Grimmett1995ComparisonAD,
  title={Comparison and Disjoint-occurrence Inequalities for Random-cluster Models},
  author={Geoffrey Grimmett},
  year={1995}
}
Geoffrey Grimmett Abstra t. A principal technique for studying percolation, (ferromagnetic) Ising, Potts, and random-cluster models is the FKG inequality, which implies certain stochastic comparison inequalities for the associated probability measures. The first result of this paper is a new comparison inequality, proved using an argument developed in Refs. 2, 6, 14, and 21 in order to obtain strict inequalities for critical values. As an application of this inequality, we prove that the… CONTINUE READING

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