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Partially hyperbolic diffeomorphisms with a trapping property

We study partially hyperbolic diffeomorphisms satisfying a trapping property which makes them look as if they were Anosov at large scale. We show that, as expected, they share several properties with Anosov diffeomorphisms. We construct an expansive quotient of the dynamics and study some dynamical consequences related to this quotient.

preprint2015arXivOpen access
Rafael Potrie
math.DS
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Rafael Potrie

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