Topologically mixing and minimal but not ergodic, analytic transformation onT5

  • Bassam R. Fayad
Article

Abstract

We give an example of an analytic transformation onT5 that conserves the Haar measure, that is minimal and topologically mixing, but is not ergodic.

Keywords

measure preserving minimal topologically mixing nonergodic time change reparametrization 

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References

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    B. R. Fayad. Analytic mixing reparametrizations of irrational flows on the torusT n,n≥3.To appear in Ergodic Theory Dynamical Systems.Google Scholar
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Copyright information

© Sociedade Brasileira de Matemática 2000

Authors and Affiliations

  • Bassam R. Fayad
    • 1
  1. 1.Centre de Mathématiques UMR 7640 du CNRSÉcole PolytechniquePalaiseau CedexFrance

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