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Markov type properties for mixtures of probability measures
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  • Published: June 1988

Markov type properties for mixtures of probability measures

  • C. Kessler1 

Probability Theory and Related Fields volume 78, pages 253–259 (1988)Cite this article

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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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References

  1. Higuchi, Y.: A remark on the global Markov property for the d-dimensional Ising model. Proc. Japan Acad. Ser. A, 60, 49–52 (1984)

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  2. Miyamoto, M.: Phase transition in one dimensional Ising models with spatially inhomogeneous potentials. J. Math. Kyoto Univ. 24, 679–688 (1984)

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  3. Preston, C.: Random fields (Lect. Notes Math., Vol. 534) Berlin Heidelberg New York: Springer 1976

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Author information

Authors and Affiliations

  1. Wässigertal 27, D-5480, Remagen, Federal Republic of Germany

    C. Kessler

Authors
  1. C. Kessler
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Additional information

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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Cite this article

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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  • Received: 10 March 1986

  • Revised: 28 December 1987

  • Issue Date: June 1988

  • DOI: https://doi.org/10.1007/BF00322022

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Keywords

  • Stochastic Process
  • Probability Measure
  • Probability Theory
  • Statistical Theory
  • Quadratic Equation
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