Extremality and the global Markov property. I. The Euclidean fields on a lattice

Boguslaw Zegarlinski

Journal of Multivariate Analysis, 1987, vol. 21, issue 1, 158-167

Abstract: We give general conditions for extremality and the global Markov property of Gibbs measures for an attractive Markov specification. As a special case we prove the global Markov property for the FKG-maximal Gibbs measures [mu]±, which give models of Euclidean Field Theory on the lattice.

Keywords: Gibbs; measures; extremality; local; and; global; Markov; Property; Euclidean; fields; on; lattice (search for similar items in EconPapers)
Date: 1987
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