Chain recurrence rates and topological entropy of free semigroup actions

DOI10.11650/tjm/230903arXiv2207.03629OpenAlexW4386972505MaRDI QIDQ6145762

Xiaojiang Ye, Dongkui Ma, Yanjie Tang

Publication date: 2 February 2024

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03629

zbMATH Keywords

topological entropychain transitivepseudo-entropyfree semigroup actionschain mixing timechain recurrence time

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological entropy, pseudo-orbits and uniform spaces
• A variational principle for free semigroup actions
• On the topological entropy of free semigroup actions
• Geometric entropy of foliations
• The chain properties and average shadowing property of iterated function systems
• Topological entropy of free semigroup actions for noncompact sets
• A characterization of adding machine maps
• Entropies of a semigroup of maps
• Topological entropy of free semigroup actions and skew-product transformations
• Chain recurrence rates and topological entropy
• Semigroup actions of expanding maps
• The upper capacity topological entropy of free semigroup actions for certain non-compact sets
• Specification and thermodynamical properties of semigroup actions
• Pseudo-orbits, pseudoleaves and geometric entropy of foliations
• Some dynamical properties for free semigroup actions
• Quantitative recurrence for free semigroup actions
• On the measure-theoretic entropy and topological pressure of free semigroup actions
• Pseudo-Orbits and Topological Entropy
• On topological entropy of maps
• Shadowing and average shadowing properties for iterated function systems
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces