24 citations · 67 across the 27 of their papers we have counts for
27 papers
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.
Physical measures on partially hyperbolic diffeomorphisms with multi 1-D centers
Zeya Mi, Yongluo Cao
In this paper, we study physical measures for partially hyperbolic diffeomorphisms with multi one-dimensional centers under the condition that all Gibbs -states are hyperbolic.…
Physical measures for partially hyperbolic diffeomorphisms with mixed hyperbolicity
Zeya Mi, Yongluo Cao
We study the partially hyperbolic diffeomorphims whose center direction admits the u-definite property in the sense that all the central Lyapunov exponents of each ergodic Gibbs u-…
Finiteness of physical measures for diffeomorphisms with multi 1-D centers
Yongluo Cao, Zeya Mi
Let be a diffeomorphism on compact Riemannian manifold with partially hyperbolic splitting where is…
Dimension approximation in smooth dynamical systems
Yongluo Cao, Juan Wang, Yun Zhao
For a non-conformal repeller of a map preserving an ergodic measure of positive entropy, this paper shows that the Lyapunov dimension of can be approximat…