3 papers
math.DS2024
Topological entropy and Hausdorff dimension of shrinking target sets
Xiaobo Hou, Xueting Tian, Yiwei Zhang
In this paper, we study the topological entropy and the Hausdorff dimension of a shrinking target set. We give lower and upper bounds of topological entropy and Hausdorff dimension…
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…