11 citations · 21 across the 3 of their papers we have counts for
4 papers
Higher-dimensional nonlinear thermodynamic formalism
Luís Barreira, Carllos Eduardo Holanda
We introduce a higher-dimensional version of the nonlinear thermodynamic formalism introduced by Buzzi and Leplaideur, in which a potential is replaced by a family of potentials. I…
Admissibility and nonuniformly hyperbolic sets
Luis Barreira, Davor Dragicevic, Claudia Valls
We obtain a characterization of two classes of dynamics with nonuniformly hyperbolic behavior in terms of an admissibility property. Namely, we consider exponential dichotomies wit…
Hyperbolicity and recurrence in dynamical systems: a survey of recent results
Luis Barreira
We discuss selected topics of current research interest in the theory of dynamical systems, with emphasis on dimension theory, multifractal analysis, and quantitative recurrence. T…
Dimension and product structure of hyperbolic measures
Luis Barreira, Yakov Pesin, Jörg Schmeling
We prove that every hyperbolic measure invariant under a C^{1+α} diffeomorphism of a smooth Riemannian manifold possesses asymptotically ``almost'' local product structure, i.e., i…