9 citations · 10 across the 4 of their papers we have counts for
5 papers
Hyperbolic sub-dynamics: compact invariant 3-manifolds
Jana Rodriguez Hertz
In 1970, Hirsch asked what kind of compact invariant sets could be part of a hyperbolic set. Here we obtain that, in case such an invariant set is a 3D manifold, it is a connected…
Dynamics in the isotopy class of a pseudo-Anosov map
Federico Rodriguez Hertz, Jana Rodriguez Hertz, Raul Ures
Despite its homotopical stability, new relevant dynamics appear in the isotopy class of a pseudo-Anosov homeomorphism. We study these new dynamics by identifying homotopically equi…
Continuum-wise expansive homeomorphisms on Peano continua
Jana Rodriguez Hertz
On a Peano continuum, all local stable and unstable components of a continuum-wise expansive homeomorphism are non trivial. In particular, there is sensitive dependence on initial…
There are no stable points for continuum-wise expansive homeomorphisms
Jana Rodriguez Hertz
We obtain some results about continuum-wise expansive homeomorphisms, such as non-existence of stable points and presence of non-trivial connected components within the local stabl…
On manifolds supporting quasi Anosov diffeomorphisms
Jana Rodriguez Hertz, Raul Ures, Jose L. Vieitez
Let be an -dimensional manifold supporting a quasi Anosov diffeomorphism. If then either , in which case the diffeomorphisms is Anosov, or else its fu…