It was recently shown that there exists a family of ℤ2 Markov random fields which areK but are not isomorphic to Bernoulli shifts . In this paper we show that most distinct members of this family are not isomorphic. This implies that there is a two parameter family of ℤ2 Markov random fields of the same entropy, no two of which are isomorphic.
Average Speed Relative Entropy Ergodic Theorem Markov Random Field Exclusion Process
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J. P. Thouvenot,Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont l’un est un schéma de Bernoulli Israel Journal of Mathematics21 (1975), 177–207.MATHCrossRefMathSciNetGoogle Scholar
H. Yaguchi,Stationary measures for an exclusion process on one-dimensional lattices with infinitely many hopping sites, Hiroshima Mathematical Journal16 (1986), 449–475.MATHMathSciNetGoogle Scholar