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The Stochastic Random-Cluster Process and the Uniqueness of Random-Cluster Measures

The Stochastic Random-Cluster Process and the Uniqueness of Random-Cluster Measures

The random-cluster model is a generalization of percolation and ferromagnetic Potts models, due to Fortuin and Kasteleyn. Not only is the random-cluster model a worthwhile topic for study in its own right, but also it provides much information about phase transitions in the associated physical models. This paper serves two …