20 citations · 30 across the 5 of their papers we have counts for
5 papers
A Criterion For Ergodicity of Non-uniformly hyperbolic Diffeomorphisms
F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi +1
In this work we exhibit a new criteria for ergodicity of diffeomorphisms involving conditions on Lyapunov exponents and general position of some invariant manifolds. On one hand we…
Partial hyperbolicity and ergodicity in dimension three
F. Rodriguez Hertz, M. A. Rodriguez Hertz, R. Ures
In [15] the authors proved the Pugh-Shub conjecture for partially hyperbolic diffeomorphisms with 1-dimensional center, i.e. stable ergodic diffeomorphism are dense among the parti…
Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle
F. Rodriguez-Hertz, M. Rodriguez-Hertz, R. Ures
We prove that stable ergodicity is C r open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r in [2,infty]. The proof…
A survey on partially hyperbolic dynamics
F. Rodriguez Hertz, M. A. Rodriguez Hertz, R. Ures
Some of the guiding problems in partially hyperbolic systems are the following: (1) Examples, (2) Properties of invariant foliations, (3) Accessibility, (4) Ergodicity, (5) Lyapuno…
Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms
F. Rodriguez Hertz, MA. Rodriguez Hertz, R. Ures
We prove, for f a partially hyperbolic diffeomorphism with center dimension one, two results about the integrability of its central bundle. On one side, we show that if the non wan…