An entropy formula over the dynamical balls and its applications

DOI10.1090/proc/15756OpenAlexW4237843620WikidataQ113822933 ScholiaQ113822933MaRDI QIDQ5869784

No author found.

Publication date: 29 September 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15756

zbMATH Keywords

topological entropiesentropy expansivedynamical balls

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some fundamental properties of continuous functions and topological entropy
• Some relations between Hausdorff-dimensions and entropies
• On Bowen's definition of topological entropy
• Variational principles for topological entropies of subsets
• Dimensions of invariant sets of expanding maps
• Beyond topological hyperbolicity: the L-shadowing property
• Symbolic dynamics: entropy = dimension = complexity
• Distance entropy of dynamical systems on noncompact-phase spaces
• Existence of full-Hausdorff-dimension invariant measures of dynamical systems with dimension metrics
• Dimensional entropy over sets and fibres
• Expansive multiparameter actions and mean dimension
• Symbolic dynamics in mean dimension theory
• Countably and entropy expansive homeomorphisms with the shadowing property
• Topological Entropy for Noncompact Sets
• Inequalities for entropy, Hausdorff dimension, and Lipschitz constants
• Topological Entropy
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Entropy-Expansive Maps