3 papers
math.DS2026
A trichotomy for generic sectional-hyperbolic chain-recurrent classes
Elias Rego, Kendry Vivas
The notion of sectional-hyperbolicity is a weakened form of hyperbolicity introduced for vector fields in order to understand the dynamical behavior of certain higher-dimensional s…
math.DS2025
Entropy Flexibility of Dynamical Systems
Alexander Arbieto, Piotr Oprocha, Elias Rego
Inspired by Katok's intermediate entropy property [Inst. Hautes Études Sci. Publ. Math. 51 (1980), 137-173], we introduce and study the notion of entropy flexibility for discrete-t…
math.DS2025
Rescaled topological entropy
E. Rego, C. Rojas, X. Wen
We prove that to any smooth vector field of a closed manifold it can be assigned a nonnegative number called {\em rescaled topological entropy} satisfying the following properties:…