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On some classes of Gibbsian random fields

Part II

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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

  1. Averintsev M.B. The description of Markov random fields by Gibbs conditional distribution. Teor. Verojatnost. i Primen., 1972, 17, 1, 21–35.

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  2. Grimmet G.R. A theorem about random fields. Bull. London Math. Soc., 1973, 5, 1, 81–84.

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  3. Preston C.J. Generalized Gibbs states and Markov random fields. Advances in Appl. Probability, 1973, 5, 2, 242–261.

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  4. Sullivan W.G. Finite range random fields and energy fields. J.Math. Anal. and Appl., 1973, 44, 3, 710–724.

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  5. Sherman S. Markov random fields and Gibbs random fields. Israel J. Math., 1973, 14, 1, 92–103.

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  6. Suomela P. Factorings of finite dimensional distributions. Comment. Phys.-Math.Soc.Sci.Finn., 1972, 42, 3, 231–243.

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  7. Moussouris J. Gibbs and Markov random systems with constraints. J.Statist.Phys., 1974, 10, 1, 11–33.

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  8. Averintsev M.B. Gibbsian representation of random fields whose conditional probabilities may vanish. Problemy Peredaci Informacii, 1975, II, vyp.4, 86–96.

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© 1978 Springer-Verlag

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Averintsev, M.B. (1978). On some classes of Gibbsian random fields. In: Dobrushin, R.L., Kryukov, V.I., Toom, A.L. (eds) Locally Interacting Systems and Their Application in Biology. Lecture Notes in Mathematics, vol 653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070086

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  • DOI: https://doi.org/10.1007/BFb0070086

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08450-1

  • Online ISBN: 978-3-540-37044-4

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