5 papers
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…