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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.DS2003★ 2 cited
On the geodesic flow of surfaces of nonpositive curvature
Federico Rodriguez Hertz
Let be a surface of nonpositive curvature of genus bigger than 1 (i.e. not the torus). We prove that any flat strip in the surface is in fact a flat cylinder. Moreover we prove…
math.DS2002★ 1 cited
Stable ergodicity of certain linear automorphisms of the torus
Federico Rodriguez Hertz
We prove that some ergodic linear automorphisms of $\T^N$ are stably ergodic, i.e. any small perturbation remains ergodic. The class of linear automorphisms we deal with includes a…