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arXiv · 1904.11788

A new example of robustly transitive diffeomorphism

Pablo D. Carrasco·Davi Obata
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Abstract

We present an example of a $\mathcal{C}^1$-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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Pablo D. Carrasco, Davi Obata. 2019-04-26. A new example of robustly transitive diffeomorphism. https://arxiv.org/abs/1904.11788

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