Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing

  • Shizuo Kakutani
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 318)


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  1. 1.
    Hajian, A. B. and Kakutani, S., Example of an ergodic measure preserving transformation on an infinite measure space, Contributions to Ergodic Theory and Probability, Proceedings of the First Midwestern Conference on Ergodic Theory held at Ohio State University, March 27–30, 1970; Lecture Notes in Mathematics, No. 170, pp. 45–52.Google Scholar
  2. 2.
    Kakutani, S., Induced measure preserving transformations, Proc. Acad. Tokyo 19(1943), pp. 635–641.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Katok, A. B. and Stepin, A. M., Approximations in ergodic theory, Uspehi Matematicheskii Nauk 22(1967), pp. 81–106.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Shizuo Kakutani
    • 1
  1. 1.Yale UniversityUSA

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