Dynamical Coherence of Partially Hyperbolic Diffeomorphisms of Tori Isotopic to Anosov

Abstract

We show that partially hyperbolic diffeomorphisms of d-dimensional tori isotopic to an Anosov diffeomorphism, where the isotopy is contained in the set of partially hyperbolic diffeomorphisms, are dynamically coherent. As a consequence, we obtain intrinsic ergodicity and measure equivalence for partially hyperbolic diffeomorphisms with one-dimensional… (More)

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Cite this paper

@inproceedings{Fisher2013DynamicalCO, title={Dynamical Coherence of Partially Hyperbolic Diffeomorphisms of Tori Isotopic to Anosov}, author={Todd Fisher and R. Potrie}, year={2013} }