×

Recurrent points and transition functions acting on continuous functions. (English) Zbl 0279.60067


MSC:

60J35 Transition functions, generators and resolvents
60J05 Discrete-time Markov processes on general state spaces
28D05 Measure-preserving transformations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Foguel, S. R., The ergodic theory of Markov processes (1969), New York: Van Nostrand, New York · Zbl 0282.60037
[2] Foguel, S. R., The ergodic theory of positive operators on continuous functions, Ann. Scuola Norm. Sup. Pisa, 27, 19-51 (1973) · Zbl 0258.47010
[3] Harris, T.E.: The existence of stationary measures for certain Markov processes. Proc. 3rd Berkeley Symposium on Probability and Statistics, 1956, 113-124 · Zbl 0072.35201
[4] Jacobs, K., On Poincaré’s recurrence theorem, Proc. 5th Berkeley Symposium on Probability and Statistics, II, 375-404 (1967) · Zbl 0272.60036
[5] Jamison, B., Irreducible Markov operators on C(S), Proc. Amer. Math. Soc., 24, 366-370 (1970) · Zbl 0195.41402
[6] Kac, M., On the notion of recurrence in discrete stochastic processes, Bull. Amer. Math. Soc., 53, 1002-1010 (1947) · Zbl 0032.41802
[7] Rosenblatt, M., Invariant and subinvariant measures of transition probability functions acting on continuous functions, Z. Wahrscheinlichkeitstheorie verw. Geb., 25, 209-221 (1973) · Zbl 0255.60052
[8] Rosenblatt, M., Markov processes: structure and asymptotic behavior (1971), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0236.60002
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.