Finite generators for ergodic, measure-preserving transformations

  • Manfred Denker


Stochastic Process Probability Theory Mathematical Biology Finite Generator 


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  1. 1.
    Billingsley, P.: Ergodic Theory and Information. New York: Wiley 1965Google Scholar
  2. 2.
    Krieger, W.: On entropy and generators of measure preserving transformations. Trans. Amer. Math. Soc., 149, 453–464 (1970)Google Scholar
  3. 3.
    Krieger, W.: On generators in exhaustive σ-algebras of ergodic measure-preserving transformations. Z. Wahrscheinlichkeitstheorie verw. Gebiete, 20, 75–82 (1971)Google Scholar
  4. 4.
    Rohlin, V.A.: Lectures on the entropy theory of measure-preserving transformations. Russian Math. Surveys, 22(5), 1–52 (1967)Google Scholar
  5. 5.
    Smorodinsky, M.: Ergodic theory, entropy. Lecture Notes in Math. 214. Heidelberg-Berlin-New York: Springer 1971Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Manfred Denker
    • 1
  1. 1.Mathematisches Institut der UniversitÄt Erlangen/NürnbergErlangenGermany

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