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Interfaces for Random Cluster Models
Authors:J Černý  R Kotecký
Institution:(1) Département de Mathématiques, EPFL, CH-1015 Lausanne, Switzerland;(2) Center for Theoretical Study, Charles University, Prague, Czech Republic
Abstract:A random cluster measure on 
$$\mathbb{Z}^d $$
that is not translationally invariant is constructed for dge3, the critical density p c , and sufficiently large q. The resulting measure is proven to be a Gibbs state satisfying cluster model DLR- equations.
Keywords:Random cluster  interface  graphical representation  Pirogov–  Sinai
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