Abstract
In this work, we study the class of mostly expanding partially hyperbolic diffeomorphisms. We prove that such a class is -open, r > 1, among the partially hyperbolic diffeomorphisms and we prove that the mostly expanding condition guarantees the existence of physical measures and provides more information about the statistics of the system. Mañé's classical derived-from-Anosov diffeomorphism on belongs to this set.
Original language | English |
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Pages (from-to) | 2838-2859 |
Number of pages | 22 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 38 |
Issue number | 8 |
DOIs | |
State | Published - 1 Dec 2018 |