On the topological entropy of the set with a special shadowing time

Cao Zhao, Ercai Chen

Let $(X,d,T)$ be a topological dynamical system with specification property. For $\alpha \in {\mathbb{R}}^{+}$ and any $x_0\in X$, define $$ \mathbf D^{x_0}_α:=\Big\{x\in X: \lim\limits_{ε\…