Zeya Mi

most citedPhysical measures on partially hyperbolic diffeomorphisms with multi 1-D centers

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.DS2023★ 1 cited

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 $u$ -states are hyperbolic.…

math.DS2023

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-…

math.DS2023

Finiteness of physical measures for diffeomorphisms with multi 1-D centers

Yongluo Cao, Zeya Mi

Let $f$ be a $C^{2}$ diffeomorphism on compact Riemannian manifold $M$ with partially hyperbolic splitting $T M = E^{u} \oplus E_{1}^{c} \oplus \dots \oplus E_{k}^{c} \oplus E^{s},$ where $E^{u}$ is…