REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION

DOI10.2206/kyushujm.76.143zbMath1501.37022arXiv2103.04497OpenAlexW3135059453MaRDI QIDQ5083826

Masaki Tsukamoto

Publication date: 21 June 2022

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

Full work available at URL: https://arxiv.org/abs/2103.04497

zbMATH Keywords

dynamical systemmean dimensionmetric mean dimension\(\mathbb{R}^D\)-actionbrody curve

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Entropy and isomorphism theorems for actions of amenable groups
• Mean dimension, small entropy factors and an embedding theorem
• Mean dimension of the dynamical system of Brody curves
• Large dynamics of Yang-Mills theory: mean dimension formula
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Compact Manifolds and Hyperbolicity
• Brody curves and mean dimension
• Entropy-Expansive Maps

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