23 citations · 192 across the 39 of their papers we have counts for
6 papers · 1 filter
Ergodic Properties of Invariant Measures for C^{1+α} nonuniformly hyperbolic systems
Chao Liang, Wenxiang Sun, Xueting Tian
For an ergodic hyperbolic measure of a diffeomorphism, there is an full-measured set such that every nonempty, compact and connected subset of $\mat…
Hyperbolic Periodic Points and Hyperbolic Measures with Dominated Splitting
Xueting Tian
In this paper we consider a non-atomic invariant hyperbolic measure of a diffeomorphsim on a compact manifold, in whose Oseledec splitting the stable bundle dominates the…
Diffeomorphisms with various stable properties
Wenxiang Sun, Xueting Tian
Let be a smooth compact manifold and be a compact invariant set. In this paper we prove that for every robustly transitive set , satisfies a generic-stable…
The Structure on Invariant Measures of generic diffeomorphisms
Wenxiang Sun, Xueting Tian
Let be an isolated non-trival transitive set of a generic diffeomorphism $f\in\Diff(M)$. We show that the space of invariant measures supported on coincides with the…
Dominated Splitting and Pesin's Entropy Formula
Wenxiang Sun, Xueting Tian
Let be a compact manifold and be a diffeomorphism on . If is an -invariant probability measure which is absolutely continuous relative to Lebesgue…
Diffeomorphisms with Liao-Pesin set
Wenxiang Sun, Xueting Tian
In this paper we mainly deal with an invariant (ergodic) hyperbolic measure for a diffeomorphism assuming that is just and for a.e. , the sum of Oseledec…