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

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  • Zegarlinski, Boguslaw

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.

Suggested Citation

  • Zegarlinski, Boguslaw, 1987. "Extremality and the global Markov property. I. The Euclidean fields on a lattice," Journal of Multivariate Analysis, Elsevier, vol. 21(1), pages 158-167, February.
  • Handle: RePEc:eee:jmvana:v:21:y:1987:i:1:p:158-167
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