Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society

, Volume 31, Issue 3, pp 277-285

First online:

Topologically mixing and minimal but not ergodic, analytic transformation onT 5

  • Bassam R. FayadAffiliated withCentre de Mathématiques UMR 7640 du CNRS, École Polytechnique

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We give an example of an analytic transformation onT 5 that conserves the Haar measure, that is minimal and topologically mixing, but is not ergodic.


measure preserving minimal topologically mixing nonergodic time change reparametrization