A note on disagreement percolation
نویسنده
چکیده
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 being replaced by other conditions. A similar counterexample is given for couplings of Markov chains.
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عنوان ژورنال:
- Random Struct. Algorithms
دوره 18 شماره
صفحات -
تاریخ انتشار 2001