A new example of robustly transitive diffeomorphism

preprint2020arXivOpen access

Abstract

We present an example of a C1\mathcal{C}^1-robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The example is conservative, ergodic, non-uniformly hyperbolic and its fiber directions cannot be decomposed into two dominated expanded/contracted bundles.

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