Strong Spatial Mixing for Binary Markov Random Fields

Abstract

Gibbs distribution of binary Markov random fields on a sparse on average graph is considered in this paper. The strong spatial mixing is proved under the condition that the `external field' is uniformly large or small. Such condition on `external field' is meaningful in physics.

13pages

References in corpus (2)

• The correlation decay (CD) tree and strong spatial mixing in multi-spin systems
• Approximating Partition Functions of Two-State Spin Systems