1 citations · 3 across the 5 of their papers we have counts for
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Stable manifolds, Horseshoes and Lyapunov exponents for diffeomorphisms without domination
Yongluo Cao, Zeya Mi, Rui Zou
We develop the nonuniformly hyperbolic theory for diffeomorphisms admitting continuous invariant splitting without domination. This framework includes stable manifold theorem…
Pesin (un)stable manifold without domination
Yongluo Cao, Zeya Mi, Rui Zou
For diffeomorphisms with continuous invariant splitting without domination, we prove the existence of (un)stable manifold under the hyperbolicity of invariant measures.
Livšic theorems for Banach cocycles: existence and regularity
Rui Zou, Yongluo Cao
We prove a nonuniformly hyperbolic version Livšic theorem, with cocycles taking values in the group of invertible bounded linear operators on a Banach space. The result holds witho…
Horseshoes and Lyapunov exponents for Banach cocycles over nonuniformly hyperbolic systems
Rui Zou, Yongluo Cao
Let be a diffeomorphism of a compact Riemannian manifold , preserving an ergodic hyperbolic measure with positive entropy, and let be a Hölder…
The approximation of Lyapunov exponents by horseshoes for -diffeomorphisms with dominated splitting
Juan Wang, Rui Zou, Yongluo Cao
Let be a -diffeomorphism and be a hyperbolic ergodic -invariant Borel probability measure with positive measure-theoretic entropy. Assume that the Oseledec splittin…