Topological r-Entropy of Symbolic Dynamical System
Ren Yunli, Jinfeng Lv, HE Shang-qin · International Conference on Multimedia Information Networking and Security · 2013
Topological r-entropy is a newly defined entropy which weakens the requirement of Bowen's spanning set. In this paper, an upper bound of topological r-entropy of symbolic dynamical system is acquired, which illustrates that the strict inequality between topological r-entropy and topological entropy may hold for some systems. Meanwhile, we acquire a relation among measure-theoretic r-entropies with different deltas.