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math.DS2021
Ergodic Optimization Restricted On Certain Subsets Of Invariant Measures
Wanshan Lin, Xueting Tian
In this article, we pay attention to transitive dynamical systems having the shadowing property and the entropy functions are upper semicontinuous. As for these dynamical systems,…
math.DS2021
Uniqueness Of Ergodic Optimization Of Top Lyapunov Exponent For Typical Matrix Cocycles
Wanshan Lin, Xueting Tian
In this article, we consider the ergodic optimization of the top Lyapunov exponent. We prove that there is a unique maximising measure of top Lyapunov expoent for typical matrix co…
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…