78 citations · 288 across the 45 of their papers we have counts for
Showing 2014 · math.DSShow all
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math.DS2014
Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples
Christian Bonatti, Kamlesh Parwani, Rafael Potrie
We build an example of a non-transitive, dynamically coherent partially hyperbolic diffeomorphism on a closed -manifold with exponential growth in its fundamental group such…
math.DS2014
Livsic theorem for low-dimensional diffeomorphism cocycles
Alejandro Kocsard, Rafael Potrie
We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in ver…
math.DS2014
Partially hyperbolic diffeomorphisms with a trapping property
Rafael Potrie
We study partially hyperbolic diffeomorphisms satisfying a trapping property which makes them look as if they were Anosov at large scale. We show that, as expected, they share seve…