Equivalence of Measure Preserving Transformations
Donald S. Ornstein · Daniel J. Rudolph · Benjamin Weiss
Jan 1982 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-262 · American Mathematical Soc.
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These notes give an exposition of a theory of Kakutani-equivalence that runs parallel to the theory of isomorphism between Bernoulli processes with the same entropy. A reinterpretation of the results yields a theory of isomorphisms between reparametrized flows, and of the relations between flows and their cross section maps. A brief survey is given of the more recent results in the theory.
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