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Ergodicity and partial hyperbolicity on the 3-torus

By Andy Hammerlindl and Raúl Ures

Abstract

If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffeomorphism $A$, it is topologically conjugate to $A$.Comment: 20 page

Topics: Mathematics - Dynamical Systems, 37D30, 37A25
Year: 2012
OAI identifier: oai:arXiv.org:1208.5660

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