Uniqueness of the infinite homogeneous cluster in the 1-2 model

作者：Li Zhongyang^*

来源：Electronic Communications in Probability, 2014, 19(0): 1-8.

DOI：10.1214/ECP.v19-3105

• Hexagonal lattice
• Gibbs measures

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.

• 出版日期2014-4-23