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Minimal non-ergodic C^1-diffeomorphisms of the circle

  • FERNANDO OLIVEIRA (a1) and L. F. C. DA ROCHA (a2)
Abstract

We construct, for each irrational number \alpha, a minimal C^1-diffeomorphism of the circle with rotation number \alpha which is not ergodic with respect to the Lebesgue measure.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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