Abstract
A random cluster measure on \(\mathbb{Z}^d \) that is not translationally invariant is constructed for d≥3, the critical density p c , and sufficiently large q. The resulting measure is proven to be a Gibbs state satisfying cluster model DLR- equations.
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Černý, J., Kotecký, R. Interfaces for Random Cluster Models. Journal of Statistical Physics 111, 73–106 (2003). https://doi.org/10.1023/A:1022248822844
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DOI: https://doi.org/10.1023/A:1022248822844