A note on disagreement percolation

Abstract

We construct a coupling of two distinct Gibbs measures for Markov random elds with the same speciications, such that the existence of an innnite path of disagreements between the two conngurations has probability 0. This shows that the independence assumption in the disagreement percolation method for proving Gibbsian uniqueness, cannot be dropped without… (More)
DOI: 10.1002/rsa.1008

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