Sequence entropies and mean sequence dimension for amenable group actions

DOI10.1016/j.jde.2020.06.054zbMath1448.37018OpenAlexW3040260586MaRDI QIDQ2202256

Junming Gao, Huang Xiaojun, Chang Rong Zhu

Publication date: 18 September 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.054

zbMATH Keywords

amenable grouptopological sequence entropymean topological sequence dimensionmeasure-theoretic sequence entropysequence variational principle

Mathematics Subject Classification ID

Entropy in general topology (54C70) Topological entropy (37B40) Dynamics in general topological spaces (37B02)

Related Items (2)

Relative entropy dimension for countable amenable group actions ⋮ Sequence entropy and mean sequence dimension for non-compact metric spaces

Cites Work

• Local entropy theory for a countable discrete amenable group action
• Ergodic theory and statistical mechanics
• Combinatorial lemmas and applications to dynamics
• Entropy and isomorphism theorems for actions of amenable groups
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Topological dimension and dynamical systems. Translated from the French by the author
• Cellular Automata and Groups
• The sequence entropy for Morse shifts and some counterexamples
• The variational principle
• Topological Sequence Entropy
• Topological Entropy
• ON METRIC INVARIANTS OF ENTROPY TYPE
• On sequence entropy. I.
• Entropy for Group Endomorphisms and Homogeneous Spaces
• On sequence entropy of automorphisms of a Lebesgue space
• Ergodic Theory
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