Israel Journal of Mathematics

, Volume 33, Issue 3–4, pp 231–240 | Cite as

An application of number theory to ergodic theory and the construction of uniquely ergodic models

  • A. Bellow
  • H. Furstenberg


Using a combinatorial result of N. Hindman one can extend Jewett’s method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett’s argument.


Periodic Point Topological Dynamic Combinatorial Result Initial Element Uniquely Ergodic 
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Copyright information

© Hebrew University 1979

Authors and Affiliations

  • A. Bellow
    • 1
    • 2
  • H. Furstenberg
    • 1
    • 2
  1. 1.Northwestern UniversityEvanstonUSA
  2. 2.The Hebrew University of JerusalemJerusalemIsrael

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