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2014 Uniqueness of the infinite homogeneous cluster in the 1-2 model
Zhongyang Li
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Electron. Commun. Probab. 19: 1-8 (2014). DOI: 10.1214/ECP.v19-3105

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. "Uniqueness of the infinite homogeneous cluster in the 1-2 model." Electron. Commun. Probab. 19 1 - 8, 2014. https://doi.org/10.1214/ECP.v19-3105

Information

Accepted: 23 April 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1296.82014
MathSciNet: MR3197119
Digital Object Identifier: 10.1214/ECP.v19-3105

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