1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2005
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…
math.DS2004
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…
math.DS2004★ 1 cited
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…