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Maximal coupling. (English) Zbl 0398.60097


MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60G17 Sample path properties
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References:

[1] Dobrushin, R. L., Markov processes with a large number of locally interacting components, Problemy Peredači Informacii, 7, 70-87 (1971) · Zbl 0327.60045
[2] Doeblin, W., Exposé de la theorie des chaînes simples constantes de Markov à un nombre fini d’etats, Rev. Math. de l’Union Interbalkanique, 2, 77-105 (1937) · Zbl 0021.42201
[3] Griffeath, D., A maximal coupling for Markov chains, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 31, 95-106 (1975) · Zbl 0301.60043
[4] Griffeath, D., Uniform coupling of non-homogeneous Markov chains, J. Appl. Probability, 12, 753-762 (1975) · Zbl 0322.60061
[5] Harris, T. E., Contact interactions on a lattice, Ann. Probability, 2, 969-988 (1974) · Zbl 0334.60052
[6] Ornstein, D., Ergodic theory, randomness, and dynamical systems (1974), New Haven and London: Yale Univ. Press, New Haven and London · Zbl 0296.28016
[7] Vasershtein, L. N., Markov processes on countable product spaces describing large systems of automata, Problemy Peredači Informacii, 3, 64-72 (1969) · Zbl 0273.60054
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