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Brunel, A.: ChaÎnes abstraites de Markov vérifiant une condition de Orey; extension à ce cas d'un théorème ergodique de M. Métivier. Z.Wahrscheinlichkeitstheorie verw. Geb.19, 323–329 (1971).
Chung, K.L.: The general theory of Markov processes according to Döblin. Z. Wahrscheinlichkeitstheorie verw. Geb.2, 230–254 (1964).
Doob, J.L.: A ratio operator limit theorem. Z. Wahrscheinlichkeitstheorie verw. Geb.1, 288–294 (1963).
Dunford, N. and J. Schwartz: Linear operators, vol. I. New York: Interscience 1958.
Foguel, S.R.: Ratio limit theorems for Markov processes. Israel J. Math.7, 284–285 (1969).
Foguel, S.R.: The ergodic theory of Markov processes. New-York: Van-Nostrand 1969.
Harris, T. E.: The existence of stationary measures for certain Markov processes. Third Berkeley Symp. Math. Statist. Prob.2, 113–124 (1956).
Hewitt, E. and K. Yosida: Finitely additive measures. Trans. Amer. math. Soc.72, 46–66 (1952).
Horowitz, S.: L∞-limit theorems for Markov processes. Israel J. Math.7, 60–62 (1969).
Jain, N.C.: A note on invariant measures. Ann. math. Statistics37, 729–732 (1966).
Métivier, M.: Existence of an invariant measure and an Ornstein ergodic theorem. Ann. Math. Statist.40, 79–96 (1969).
Nevell, J.: The calculus of probability. San Francisco: Holden-Day 1965.
Ornstein, D.: Random Walk I. Trans. Amer. math. Soc.138, 1–43 (1969).
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Horowitz, S. Transition probabilities and contractions ofL ∞ . Z. Wahrscheinlichkeitstheorie verw Gebiete 24, 263–274 (1972). https://doi.org/10.1007/BF00679131
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DOI: https://doi.org/10.1007/BF00679131