A note on dimensional entropy for amenable group actions

DOI10.12775/TMNA.2017.056zbMath1395.37012arXiv1712.06152OpenAlexW2963162581WikidataQ130118760 ScholiaQ130118760MaRDI QIDQ1668830

Dou Dou, Rui-feng Zhang

Publication date: 29 August 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06152

zbMATH Keywords

Hausdorff dimensiontopological entropyamenable groupsubshiftdimensional entropy

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Topological entropy (37B40)

Related Items (5)

An alternative definition of topological entropy for amenable group actions ⋮ Packing topological entropy for amenable group actions ⋮ Dynamical intricacy and average sample complexity of amenable group actions ⋮ Mean dimension theory in symbolic dynamics for finitely generated amenable groups ⋮ Scaled packing entropy for amenable group actions

Cites Work

• Unnamed Item
• Entropy and isomorphism theorems for actions of amenable groups
• Pointwise theorems for amenable groups.
• Variational principles for topological entropies of subsets
• Topological dimension and dynamical systems. Translated from the French by the author
• Symbolic dynamics: entropy = dimension = complexity
• Bowen entropy for actions of amenable groups
• Topological Entropy for Noncompact Sets
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Ergodic Theory

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