3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2024
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…