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On some classes of Gibbsian random fields

  • M. B. Averintsev
Part II
  • 209 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 653)

Keywords

Random Field Markov Random Field Invariant Potential Finite Dimensional Distribution Versus Theorem 
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References

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    Averintsev M.B. The description of Markov random fields by Gibbs conditional distribution. Teor. Verojatnost. i Primen., 1972, 17, 1, 21–35.Google Scholar
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    Grimmet G.R. A theorem about random fields. Bull. London Math. Soc., 1973, 5, 1, 81–84.MathSciNetCrossRefGoogle Scholar
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    Preston C.J. Generalized Gibbs states and Markov random fields. Advances in Appl. Probability, 1973, 5, 2, 242–261.MathSciNetCrossRefzbMATHGoogle Scholar
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    Sullivan W.G. Finite range random fields and energy fields. J.Math. Anal. and Appl., 1973, 44, 3, 710–724.MathSciNetCrossRefzbMATHGoogle Scholar
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    Sherman S. Markov random fields and Gibbs random fields. Israel J. Math., 1973, 14, 1, 92–103.MathSciNetCrossRefzbMATHGoogle Scholar
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    Suomela P. Factorings of finite dimensional distributions. Comment. Phys.-Math.Soc.Sci.Finn., 1972, 42, 3, 231–243.MathSciNetzbMATHGoogle Scholar
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    Moussouris J. Gibbs and Markov random systems with constraints. J.Statist.Phys., 1974, 10, 1, 11–33.MathSciNetCrossRefGoogle Scholar
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    Averintsev M.B. Gibbsian representation of random fields whose conditional probabilities may vanish. Problemy Peredaci Informacii, 1975, II, vyp.4, 86–96.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • M. B. Averintsev
    • 1
  1. 1.Moscow Institute of Railway EngineersRussia

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