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arxiv: 0911.5487 · v1 · submitted 2009-11-29 · 💻 cs.IT · cs.DM· math.IT

Strong Spatial Mixing for Binary Markov Random Fields

classification 💻 cs.IT cs.DMmath.IT
keywords binaryconditionexternalfieldfieldsmarkovmixingrandom
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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.

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