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Ergodic flows are strictly ergodic. (English) Zbl 0283.28012


MSC:

28D05 Measure-preserving transformations
60B05 Probability measures on topological spaces
47A35 Ergodic theory of linear operators
54H20 Topological dynamics (MSC2010)
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References:

[1] Billingsley, P., Ergodic Theory and Information (1965), J. Wiley and Sons: J. Wiley and Sons New York · Zbl 0141.16702
[2] Denker, M., On strict ergodicity, Math. Z., 134, 231-253 (1973) · Zbl 0275.28018
[3] Eberlein, E., Einbettung von Strömungen in Funktionenräume durch Erzeuger vom endlichen Typ, Z. Wahrsch., 27, 277-291 (1973) · Zbl 0268.28011
[4] G. Hansel and J. P. Raoult; G. Hansel and J. P. Raoult
[5] Jacobs, K., Lipschitz functions and the prevalence of strict ergodicity for continuous-time flows, (Lecture Notes in Mathematics, 160 (1970), Springer-Verlag) · Zbl 0201.38302
[6] Jewett, R. I., The prevalence of uniquely ergodic systems, Journal of Mathematics and Mechanics, 19, 717-729 (1970) · Zbl 0192.40601
[7] Krieger, W., On unique ergodicity, (Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (1970)), 327-346
[8] Oxtoby, J. C., Ergodic sets, Bull. AMS, 58, 116-136 (1952) · Zbl 0046.11504
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