2020/05/04 by Yong Gu Ji, Ji, Yong, Ercai Chen +3
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2005.01548
openalex publication_date 2020/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
A topological dynamical system (X,f) induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace. We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of (X,f). We also consider the entropy order of an invariant measure and a variational principle is established.