Some hyperbolicity revisited and robust transitivity

preprint2025arXivOpen access

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 C1C^1 robustly transitive derived from Anosov diffeomorphisms with mixed behaviour on center leaves.

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