3 citations · 8 across the 12 of their papers we have counts for
12 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…
Variety of physical measures in partially hyperbolic systems with multi 1-D centers
Zeya Mi, Hangyue Zhang
We provide two robust examples of globally partially hyperbolic systems with a multi one-dimensional center splitting, for which all Gibbs u-states are hyperbolic and the number of…
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…
Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and contracting centers
Zeya Mi
We prove the stochastic stability of an open class of partially hyperbolic diffeomorphisms, each of which admits two centers and such that any Gibbs -state admit…
SRB measures for partially hyperbolic flows with mostly expanding center
Zeya Mi, Biao You, Yuntao Zang
We prove that a partially hyperbolic attractor for a vector field with two dimensional center supports an SRB measure. In addition, we show that if the vector field is ,…
Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers
Zeya Mi, Yongluo Cao
For partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers, we establish a topological structure, called skeleton{a set consisting of finitely ma…
SRB measures for some diffeomorphisms with dominated splittings as zero noise limits
Zeya Mi
In this paper, we provide a technique result on the existence of Gibbs cu-states for diffeomorphisms with dominated splittings. More precisely, for given diffeomorphim wi…
On the abundance of SRB measures
Yongluo Cao, Zeya Mi, Dawei Yang
We prove the abundance of Sinai-Ruelle-Bowen measures for diffeomorphisms away from ones with a homoclinic tangency. This is motivated by conjectures of Palis on the existence of p…
SRB measures for diffeomorphisms with continuous invariant splittings
Zeya Mi, Yongluo Cao, Dawei Yang
We study the existence of SRB measures of C 2 diffeomorphisms for attractors whose bundles admit Holder continuous invariant (non-dominated) splittings. We prove the existence when…