6 papers
Singular Suspension Flows and Infinite Topological Entropy
Jonatas Marinho S. Araujo, Sergio Romaña
We construct a dense set of homeomorphisms with infinite topological entropy whose associated pseudo-singular suspension flows have finite entropy -- and indeed, arbitrarily small…
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…
On the Birkhoff Spectrum for Hyperbolic Dynamics
Sergio Romaña
In this paper, we study the structure of Birkhoff spectra for hyperbolic dynamical systems. Given a Hölder observable \(f\) on a basic set \(Î\), we obtain the following results:…
Curvature Rigidity Through Level Sets of Lyapunov Exponents in Geodesic Flows
Sergio Romaña
In this paper, we establish new geometric rigidity results through the study of Lyapunov exponent level sets via invariant measures. First, we prove that for a manifold without…
Entropy of Singular Suspensions
Elias Rego, Sergio Romaña
In this work, we investigate diffeomorphisms whose positiveness of topological entropy is destroyed by singular suspensions. We show that this phenomenon is rare in the set of $C^1…
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…