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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… Click to show full 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 to infinite countably amenable group actions.
Keywords:
amenable group;
group actions;
measure theoretic;
theoretic entropy
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2021
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!