Topological r-Entropy and Measure Theoretic r-Entropy for Amenable Group Actions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09554-1
Abstract: In this paper, we introduce the concept of measure theoretic r-entropy on a compact metric space in the context of amenable group actions. To be precise, we generalize Katok’s r-entropy formula and Brin-Katok r-entropy formula… read more here.
Keywords: amenable group; group actions; measure theoretic; theoretic entropy ... See more keywords
Katok formula for the induced measure-theoretic entropy
Sign Up to like & getrecommendations! Published in 2018 at "Dynamical Systems"
DOI: 10.1080/14689367.2017.1329402
Abstract: ABSTRACT Entropy is undoubtedly one of the most essential characteristics of dynamical systems. In this article, we define a topological version of the induced measure-theoretic entropy and obtain its Katok entropy formula. We show that… read more here.
Keywords: induced measure; measure theoretic; entropy; formula ... See more keywords