20 citations · 36 across the 8 of their papers we have counts for
7 papers · 1 filter
Tori with hyperbolic dynamics in 3-manifolds
F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures
Let M be a closed orientable irreducible 3-manifold, and let f be a diffeomorphism over M. We call an embedded 2-torus T an Anosov torus if it is invariant and the induced action o…
Maximizing measures for partially hyperbolic systems with compact center leaves
F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi +1
We obtain the following dichotomy for accessible partially hyperbolic diffeomorphisms of 3-dimensional manifolds having compact center leaves: either there is a unique entropy maxi…
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…