3 papers
math.DS2024
Non-dense orbits on topological dynamical systems
Cao Zhao, Jiao Yang, Xiaoyao Zhou
Let be a topological dynamical system with the specification property. We consider the non-dense orbit set and show that for any non-transitive point …
math.DS2018
On the topological entropy of the set with a special shadowing time
Cao Zhao, Ercai Chen
Let be a topological dynamical system with specification property. For and any , define $$ \mathbf D^{x_0}_α:=\Big\{x\in X: \lim\limits_{ε\…
math.DS2016
Quantitative recurrence properties for systems with non-uniform structure
Cao Zhao, Ercai Chen
Let X be a subshift satisfy non-uniform structure. In this paper, we give quantitative estimate of the recurrence sets. These results can be applied to a large class of symbolic sy…