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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
Article

Abstract

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.

Keywords

Periodic Point Topological Dynamic Combinatorial Result Initial Element Uniquely Ergodic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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