The cohomological equation for partially hyperbolic diffeomorphisms. (English) Zbl 1348.37054
Avila, Artur et al., Cocycles over partially hyperbolic maps. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-778-0). Astérisque 358, 75-165 (2013).
Summary: We develop criteria for the existence and regularity of solutions to the cohomological equation over an accessible, partially hyperbolic diffeomorphism.
For the entire collection see [Zbl 1417.37004].
For the entire collection see [Zbl 1417.37004].
MSC:
| 37D40 | Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) |
| 37D25 | Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) |
| 37D30 | Partially hyperbolic systems and dominated splittings |
| 37A20 | Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations |
