Uniqueness of Infinite Homogeneous Clusters in 1-2 Model

Published 12 Oct 2012 in math.PR, math-ph, and math.MP | (1210.3525v1)

Abstract: A 1-2 model configuration is a subset of edges of the hexagonal lattice such that each vertex is incident to one or two edges. We prove that for any translation-invariant Gibbs measure of 1-2 model, almost surely the infinite homogeneous cluster is unique.

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Zhongyang Li

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