4 papers
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 …
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\…
On the topological pressure of the saturated set with non-uniform structure
Cao Zhao, Ercai Chen
We derive a conditional variational principle of the saturated set for systems with the non-uniform structure. Our result applies to a broad class of systems including beta-shifts,…
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…