ABSTRACT: We construct a coupling of two distinct Gibbs measures for Markov random fields with the same specifications, such that the existence of an ...
There are many interesting and useful connections between percolation theory on one hand, and Gibbs systems and Markov random fields on the ...
Apr 18, 2001 · We construct a coupling of two distinct Gibbs measures for Markov random fields with the same specifications, such that the existence of an ...
We note that it is important that ( f, g) are sampled from a Gibbs measure for homomorphism pairs rather than just from a coupling of Gibbs measures with the ...
In the present paper we study the dependence of Markov fields on boundary conditions by taking a more suitable coupling.
A note on disagreement percolation. Author: Olle Häggström. Olle Häggström ... Index Terms. A note on disagreement percolation. Mathematics of computing.
We construct a coupling of two distinct Gibbs measures for Markov random fields with the same specifications, such that the existence of an infinite path of ...
The idea behind disagreement percolation is to construct a coupling, named disagreement coupling, between three point processes on a bounded domain. Two ...
Two different problems are studied: 1. For an infinite locally finite connected graph G G , let pc(G) p c ( G ) be the critical value for the existence of ...
Recently, one of the authors (van den Berg) has obtained a uniqueness condition for Gibbs measures, in terms of disagreement percolation involv-.