20 citations · 33 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
Global rigidity of certain abelian actions by toral automorphisms
Federico Rodriguez Hertz
We prove global rigidity results for some linear abelian actions on tori. The type of actions we deal with includes in particular maximal rank semisimple actions on $\T^N$.
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…
Cohomology free systems and the first Betti number
F. Rodriguez Hertz, MA. Rodriguez Hertz
We prove that a cohomology free flow on a manifold M fibers over a diophantine translation on the torus T b, where b is the first Betti number of M.
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…