666 citations
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Showing 2003 · math.DSShow all
2 papers · 2 filters
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…