Goldstein, Sheldon Maximal coupling. (English) Zbl 0398.60097 Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 193-204 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 36 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60G17 Sample path properties Keywords:Ergodic Theorems; Markov Chains; Successful Coupling; Maximal Coupling PDFBibTeX XMLCite \textit{S. Goldstein}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 46, 193--204 (1979; Zbl 0398.60097) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.