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References
Blackwell, D., Freedman, D.: The tail σ-field of a Markov chain and a theorem of Orey. Ann. Math. Statist. 35, 1291–1295 (1964)
Chung, K. L.: A course in Probability Theory. 2nd ed. New York: Academic Press 1974
Dobrushin, R. L.: Markov processes with a large number of locally interacting components. Problemy Peredači. Informacii 7, 70–87 (1971)
Doeblin, W.: Expose de la theorie des chaÎnes simples constantes de Markov à un nombre fini d'états. Rev. Math. de l'Union Interbalkanique 2, 77–105 (1937)
Freedman, D.: Markov Chains. San Francisco: Holden Day 1971
Griffeath, D.: Coupling methods for nonhomogeneous Markov chains. To appear
Harris, T.E.: Contact interactions on a lattice. Ann. Probab. 2, 969–988 (1974)
Orey, S.: An ergodic theorem for Markov chains. Z. Wahrscheinlichkeitstheorie verw. Gebiete 1, 174–176 (1962)
Orey, S.: Limit Theorems for Markov Chain Transition Probabilities. London: Van Nostrand 1971
Ornstein, D.: Random Walk I. T.A.M.S. 138, 1–43 (1969)
Pitman, J. W.: Uniform rates of convergence for Markov chain transition probabilities. Z. Wahrscheinlichkeitstheorie verw. Gebiete 29, 193–227 (1974)
Vasershtein, L. N.: Markov processes on countable product spaces describing large systems of automata. Problemy Peredači Informacii 3, 64–72 (1969)
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Griffeath, D. A maximal coupling for Markov chains. Z. Wahrscheinlichkeitstheorie verw Gebiete 31, 95–106 (1975). https://doi.org/10.1007/BF00539434
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DOI: https://doi.org/10.1007/BF00539434