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In this paper, we introduce the notions of polynomial entropy on an arbitrary subset and lower local polynomial entropy for free semigroup actions. Also, we give some properties of Bowen… Click to show full abstract
In this paper, we introduce the notions of polynomial entropy on an arbitrary subset and lower local polynomial entropy for free semigroup actions. Also, we give some properties of Bowen polynomial entropy and discuss the relation between Bowen topological entropy and Bowen polynomial entropy in the context of free semigroup actions. Finally, we investigate the relation between lower local polynomial entropy of Borel probability measures and Bowen polynomial entropy for free semigroup actions.
Keywords:
free semigroup;
entropy;
semigroup actions;
bowen polynomial;
polynomial entropy
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2021
Link to full text (if available)
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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!