42 citations · 76 across the 3 of their papers we have counts for
3 papers
math.DS2014★ 3 cited
On the Unstable Directions and Lyapunov Exponents of Anosov Endomorphisms
F. Micena, A. Tahzibi
Despite the invertible setting, Anosov endomorphisms may have infinitely many unstable directions. Here we prove, under transitivity assumption, that an Anosov endomorphism on a cl…
math.DS2010★ 31 cited
Uniqueness of SRB measures for transitive diffeomorphisms on surfaces
F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi +1
We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms,…
math.DS2009★ 42 cited
New criteria for ergodicity and non-uniform hyperbolicity
F. Rodriguez Hertz, Jana Rodriguez Hertz, A. Tahzibi +1
In this work we obtain a new criterion to establish ergodicity and non-uniform hyperbolicity of smooth measures of diffeomorphisms. This method allows us to give a more accurate de…