1 citations · 1 across the 5 of their papers we have counts for
6 papers
New bounds for the Hausdorff dimension of a dynamically defined Cantor set
Fernando José Sánchez-Salas
In this paper we use the additive thermodynamic formalism to obtain new bounds of the Hausdorff and box-counting dimension of certain non conformal hyperbolic repellers defined by…
Yet another induction scheme for non-uniformly expanding transformations
Pedro L. Capett-Figueras, Fernando J. Sánchez-Salas
We introduce a new induction scheme for non-uniformly expanding maps of compact Riemannian manifolds, proving that the existence of a Gibbs-Markov-Young structure is a necessar…
A variational principle for systems with nonuniformly hyperbolic behavior with applications to the dimension theory
Fernando José Sánchez-Salas
Let be a nonuniformly hyperbolic diffeomorphism. We use a a nonadditive version of the topological pressure of a class of admissible, possibly noncontinuous potential…
A note on Eckmann-Ruelle's conjecture
Fernando José Sánchez-Salas
We introduce a class of isolated nonuniformly hyperbolic sets for which equals the rate of escape from , where $χ^+(μ…
Variational principles and approximation of dynamical indicators for systems with nonuniformly hyperbolic behavior
Fernando José Sánchez-Salas
This note is concerned with approximation of dynamical indicators as pressures, Lyapunov exponents and dimension-like quantities, in systems with nonuniformly hyperbolic behavior.…
Uniform hyperbolic approximations of measures with non zero Lyapunov exponents
Stefano Luzzatto, Fernando J Sánchez-Salas
We show that for any C^1+alpha diffeomorphism of a compact Riemannian manifold, every non-atomic, ergodic, invariant probability measure with non-zero Lyapunov exponents is approxi…