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Averintsev M.B. On a method of describing discrete parameter random fields. Problemy Peredachi Informatsii, 6 (1970) no 2, 100–108.
Preston C.J. Generalized Gibbs states and Markov random fields. Adv. Appl.Prob., 5 (1973), 242–261.
Castaing C. Sur les multi-applications mesurables, Rev.Fr.Inf.Rech.Op., 1 (1967), 3–34.
Rockafellar R.T. Measurable dependence of convex sets and functions on parameters, J.Math.Anal.Appl., 28 (1969), 4–25.
Matheron G. Ensembles fermes aléatoires, ensembles semi-markoviens et polyèdres poissoniens, Adv.Appl.Prob., 4 (1972), 508–541.
Stochastic geometry, eds. E.F.Harding, D.G.Kendall, N.-Y., J.Wiley, 1974.
Kozlov O.K., Gibbsian description of point random fields, Teorija Verojatnostej i Primen., 21 (1976), 348–365.
Fortet R., Kambouzia M. Ensembles aléatoires induits par une repartition ponctuelle aléatoire, C.r.Acad.Sci., 280, 21 (1975).
Molchan G.M. L-Markovian Gaussian fields, Doklady AN SSSR, 215, no 5 (1974).
Newman C.M. The construction of stationary two-dimensional Markoff fields with an application to quantum field theory, J.Functional. Anal., 14 (1973), 44–61.
Meyer P.A. Probability and potentials, Blaisdell Publishing Company, Waltham-Toronto-London, (1966).
Dobrushin R.L. Description of random fields by means of conditional probabilities and their regularity conditions, Teorija Verojatnostej i Primen., 13 (1968), 197–224.
Evstigneev I.V. The space 2X and Markov fields, Doklady AN SSSR, 230, no 1 (1976).
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Evstigneev, I.V. (1978). A note on Gibbs representation. 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/BFb0070093
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DOI: https://doi.org/10.1007/BFb0070093
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