24 citations · 66 across the 8 of their papers we have counts for
Showing 2003Show all
3 papers · 1 filter
math.DS2003
Uniform hyperbolicity for random maps with positive Lyapunov exponents
Yongluo Cao, Stefano Luzzatto, Isabel Rios
We consider some general classes of random dynamical systems and show that a priori very weak nonuniform hyperbolicity conditions actually imply uniform hyperbolicity.
math.DS2003
A minimum principle for Lyapunov exponents and a higher-dimensional version of a Theorem of Mane'
Yongluo Cao, Stefano Luzzatto, Isabel Rios
We consider compact invariant sets Λfor C^{1} maps in arbitrary dimension. We prove that if Λcontains no critical points then there exists an invariant probability measure with a L…
math.DS2003★ 1 cited
Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies
Yongluo Cao, Stefano Luzzatto, Isabel Rios
We study the hyperbolicity of a class of horseshoes exhibiting an internal tangency, i.e. a point of homoclinic tangency accumulated by periodic points. In particular these systems…