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math.DS2026
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…
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.DS2026
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 \(Λ\), we obtain the following results: F…