Interfaces for Random Cluster Models |
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Authors: | J Černý R Kotecký |
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Institution: | (1) Département de Mathématiques, EPFL, CH-1015 Lausanne, Switzerland;(2) Center for Theoretical Study, Charles University, Prague, Czech Republic |
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Abstract: | A random cluster measure on
that is not translationally invariant is constructed for d3, 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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Keywords: | Random cluster interface graphical representation Pirogov– Sinai |
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