Summary
We show that, given a general Markov type property M, and a finite dimensional set of probability measures ℋ, the set of elements of ℋ having M can be described by finitely many quadratic equations. We apply the result to the problem of the global Markov property for nonextremal Gibbs states.
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This work was prepared during the author's stay at the University of Hull, England, and supported by the Science and Engineering Research Council of Great Britatin
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Kessler, C. Markov type properties for mixtures of probability measures. Probab. Th. Rel. Fields 78, 253–259 (1988). https://doi.org/10.1007/BF00322022
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DOI: https://doi.org/10.1007/BF00322022