منابع مشابه
The Stochastic Random-cluster Process, and the Uniqueness of Random-cluster Measures
Geoffrey Grimmett Abstra t. The random-cluster model is a generalisation of percolation and ferromagnetic Potts models, due to Fortuin and Kasteleyn (see [29]). 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 functions. First, we introduce an...
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The class of random-cluster models is a unification of a variety of stochastic processes of significance for probability and statistical physics, including percolation, Ising, and Potts models; in addition, their study has impact on the theory of certain random combinatorial structures, and of electrical networks. Much (but not all) of the physical theory of Ising/Potts models is best implement...
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The Random Cluster Model offers an interesting reformulation of the Ising and Potts Models in the language of percolation theory. In one regime, the model obeys Positive Association, which has broad implications. Another prominent property of the Random Cluster Model is the existence of a critical point, separating two phases with and without infinite clusters, however much is still unknown or ...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1994
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00120-8