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A two-valued step coding for ergodic flows. (English) Zbl 0325.28019


MSC:

28D05 Measure-preserving transformations
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References:

[1] Abramov, L.M.: On the entropy of a flow. Doklady Akad. Nauk. SSSR128, 873-875 (1959) · Zbl 0094.10002
[2] Ambrose, W.: Representation of ergodic flows. Ann. of Math II. Ser.42, 723-739 (1941). · Zbl 0025.26901
[3] Ambrose, W., Kakutani, S.: Structure and continuity of measurable flows. Duke Math J.9, 25-42 (1942) · Zbl 0063.00065
[4] Krieger, W.: On entropy and generators of measure preserving transformations. Trans. Amer. math. Soc.149, 453-464 (1970) · Zbl 0204.07904
[5] Ornstein, D.S.: The isomorphism theorem for Bernoulli flows. Advances Math.10, 124-142 (1973). · Zbl 0265.28011
[6] Ornstein, D.S.: Imbedding Bernoulli Shifts in Flows, In: Contributions to Ergodic theory and probability (Columbus, 1970). pp. 178-218. Lecture Notes in Mathematics160. Berlin-Heidelberg-New York: Springer 1970
[7] Shields, P.: The theory of Bernoulli Shifts. Chicago: University of Chicago Press 1973 · Zbl 0308.28011
[8] Grillenberger, C., Krengel, U.: On marginal distributions and isomorphisms of stationary processes. Math. Z.149, 131-154 (1976) · Zbl 0322.60035
[9] Sinai, Ja. G.: Probablistic ideas in ergodic theory. In: Proceedings of the International Congress of Mathematicians (Stockholm 1962). pp. 540-559. Djursholm: Institut Mittag-Leffler 1963
[10] Eberlein, E.: Einbettung von Strömungen in Funktionenräume durch Erzeuger vom endlichen Typ. Z. Wahrscheinlichkeitstheorie verw. Gebiete27, 277-291 (1973) · Zbl 0268.28011
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