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arXiv · 2302.01914

Some hyperbolicity revisited and robust transitivity

Luis Pedro Piñeyrúa
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Abstract

In this article we revisit the notion of \textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \cite{PuSa}. We present a more general definition, that in particular can be applied to the symplectic context (something that the previous couldn't). As an application we construct $C^1$ robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on center leaves.

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Luis Pedro Piñeyrúa. 2023-02-03. Some hyperbolicity revisited and robust transitivity. https://doi.org/10.1017/etds.2025.10192

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