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Horowitz, S.

Transition probabilities and contractions of \(L_ \infty\). (English) Zbl 0228.60028

Z. Wahrscheinlichkeitstheor. Verw. Geb. 24, 263-274 (1972).
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Cited in 1 Review
Cited in 19 Documents

MSC:

60J25 Continuous-time Markov processes on general state spaces
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References:

[1] 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) · Zbl 0203.50305
[2] Chung, K. L., The general theory of Markov processes according to Döblin, Z. Wahrscheinlichkeitstheorie verw. Geb., 2, 230-254 (1964) · Zbl 0119.34604
[3] Doob, J. L., A ratio operator limit theorem, Z. Wahrscheinlichkeitstheorie verw. Geb., 1, 288-294 (1963) · Zbl 0122.36302
[4] Dunford, N.; Schwartz, J., Linear operators, vol. I (1958), New York: Interscience, New York · Zbl 0084.10402
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[6] Foguel, S. R., The ergodic theory of Markov processes (1969), New-York: Van-Nostrand, New-York · Zbl 0282.60037
[7] Harris, T. E., The existence of stationary measures for certain Markov processes, Third Berkeley Symp. Math. Statist. Prob., 2, 113-124 (1956) · Zbl 0072.35201
[8] Hewitt, E.; Yosida, K., Finitely additive measures, Trans. Amer. math. Soc., 72, 46-66 (1952) · Zbl 0046.05401
[9] Horowitz, S., L_∞-limit theorems for Markov processes, Israel J. Math., 7, 60-62 (1969) · Zbl 0177.21803
[10] Jain, N. C., A note on invariant measures, Ann. math. Statistics, 37, 729-732 (1966) · Zbl 0192.25002
[11] Métivier, M., Existence of an invariant measure and an Ornstein ergodic theorem, Ann. Math. Statist., 40, 79-96 (1969) · Zbl 0214.17102
[12] Nevell, J., The calculus of probability (1965), San Francisco: Holden-Day, San Francisco · Zbl 0137.11301
[13] Ornstein, D., Random Walk I, Trans. Amer. math. Soc., 138, 1-43 (1969) · Zbl 0181.44501
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