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math.DS2021
Entropy of irregular points that are not uniformly hyperbolic
Xiaobo Hou, Xueting Tian
In this article we prove that for a diffeomorphism on a compact Riemannian manifold, if there is a hyperbolic ergodic measure whose support is not uniformly hyperbolic, t…
math.DS2021★ 1 cited
Strongly distributional chaos of irregular orbits that are not uniformly hyperbolic
Xiaobo Hou, Xueting Tian
In this article we prove that for a diffeomorphism on a compact Riemannian manifold, if there is a nontrival homoclinic class that is not uniformly hyperbolic or the diffeomorphism…
math.DS2021★ 3 cited
Ergodic Average Of Typical Orbits And Typical Functions
Xiaobo Hou, Wanshan Lin, Xueting Tian
In this article we mainly aim to know what kind of asymptotic behavior of typical orbits can display. For example, we show in any transitive system, the emprical measures of a typi…