2 citations · 4 across the 5 of their papers we have counts for
5 papers
A computer-assisted proof of robust transitivity
Marisa Cantarino, Andy Hammerlindl, Warwick Tucker
We present computer-assisted proofs of partial hyperbolicity, existence of a blender and robust transitivity for diffeomorphisms on closed manifolds. These proofs are implemented f…
Cohomology of Lipschitz-valued cocycles
Marisa Cantarino, Catalina Freijo
We consider the set of Hölder continuous cocycles over a finite shift acting on a group of Lipschitz homeomorphisms Lip(G), where G is a metrisable compact topological group. We es…
U-Gibbs measure rigidity for partially hyperbolic endomorphisms on surfaces
Marisa Cantarino, Bruno Santiago
We prove that, for a partially hyperbolic endomorphism of the 2-torus which is strongly transitive, given an ergodic -Gibbs measure that has positive center Lyapunov expon…
Equilibrium states for partially hyperbolic maps with one-dimensional center
Carlos F. Álvarez, Marisa Cantarino
We prove the existence of equilibrium states for partially hyperbolic endomorphisms with one-dimensional center bundle. We also prove, regarding a class of potentials, the uniquene…
Anosov Endomorphisms on the 2-torus: Regularity of foliations and rigidity
Marisa Cantarino, Régis Varão
We provide sufficient conditions for smooth conjugacy between two Anosov endomorphisms on the 2-torus. From that, we also explore how the regularity of the stable and unstable foli…