23 citations · 192 across the 39 of their papers we have counts for
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math.DS2011★ 22 cited
Variational equalities of entropy in nonuniformly hyperbolic systems
Chao Liang, Gang Liao, Wenxiang Sun +1
In this paper we prove that for an ergodic hyperbolic measure of a diffeomorphism on a Riemannian manifold , there is an -full measured set su…
math.DS2011★ 1 cited
Minimal Diffeomorphisms cannot satisfy Generalized Dominated Splitting
Xueting Tian
We introduce a new notion called generalized dominated splitting which is weaker than classical dominated splitting. We use this notion to generalize a result of Zhang\cite{Zh}: ev…
math.DS2011★ 10 cited
Non-uniform Hyperbolicity and Non-uniform Specification
Krerley Oliveira, Xueting Tian
In this paper we deal with an invariant ergodic hyperbolic measure for a diffeomorphism assuming that it is either or is and the Oseledec splitting…