Ergodic components of partially hyperbolic systems

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This paper gives a complete classification of the possible ergodic decompositions for certain open families of volume-preserving partially hyperbolic diffeomorphisms. These families include systems with compact center leaves and perturbations of Anosov flows under conditions on the dimensions of the invariant subbundles. The paper further shows that the non-open accessibility classes form a C1 lamination and gives results about the accessibility classes of non-volume-preserving systems.

Original languageEnglish
Pages (from-to)131-184
Number of pages54
JournalCommentarii Mathematici Helvetici
Issue number1
Publication statusPublished - 2017


  • Accessibility classes
  • Ergodic decompositions
  • Partial hyperbolicity

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