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20192026
most citedAccessibility for dynamically coherent partially hyperbolic diffeomorphisms with 2D center

1 citations · 1 across the 6 of their papers we have counts for

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math.DS2026

Robust transitivity of geodesic flows from metrics with conjugate points

Ygor de Jesus, Luis Pedro Piñeyrúa, Sergio Romaña

In this article, we prove a general criterion for obtaining robust transitivity of partially hyperbolic geodesic flows. As a consequence, we exhibit the first example of a op…

math.DS2024

Partially hyperbolic geodesic flow via conformal deformation

Ygor de Jesus, Luis Pedro Piñeyrúa, Sergio Romaña

This paper presents a new construction of non-Anosov Partially Hyperbolic Geodesic flows. Our construction is closely related to the construction made by Carneiro and Pujals, the n…

math.DS2023

Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms

Luis Pedro Piñeyrúa, Martín Sambarino

We introduce the notion of \textit{fibered lifted partially hyperbolic diffeomorphisms} and we prove that any partially hyperbolic diifeomorphism isotopic to a fibered lifted one w…

math.DS2023

Some hyperbolicity revisited and robust transitivity

Luis Pedro Piñeyrúa

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…

math.DS2022★ 1 cited

Accessibility for dynamically coherent partially hyperbolic diffeomorphisms with 2D center

Martin Leguil, Luis Pedro Piñeyrúa

We show that for any integer , stable accessibility is -dense among partially hyperbolic diffeomorphisms with two-dimensional center that satisfy some strong bunchin…

math.DS2019

Dynamical coherence of partially hyperbolic diffeomorphisms on nilmanifolds isotopic to Anosov

Luis Pedro Piñeyrúa

The purpose of this article is to obtain dynamically coherence of partially hyperbolic diffeomorphisms in certain classes of Anosov diffeomorphisms on nilmanifolds, extending a res…