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Uniqueness of Infinite Homogeneous Clusters in 1-2 Model

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.

preprint2012arXivOpen access
Zhongyang Li
math-phmath.PRmath.MP
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Open access1 author3 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Zhongyang Li

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