Mean dimension and a sharp embedding theorem: extensions of aperiodic subshifts

DOI10.1017/etds.2013.30zbMath1316.37012arXiv1207.3906OpenAlexW2040269248MaRDI QIDQ2934238

Masaki Tsukamoto, Yonatan Gutman

Publication date: 12 December 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3906

zbMATH Keywords

subshiftmean dimensionaperiodiczero-dimensional system

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Symbolic dynamics (37B10)

Related Items (19)

Mean dimension and Jaworski-type theorems ⋮ Mean dimension of \({\mathbb{Z}^k}\)-actions ⋮ Mean dimension and a non-embeddable example for amenable group actions ⋮ Variational principles for amenable metric mean dimensions ⋮ Embedding minimal dynamical systems into Hilbert cubes ⋮ On embeddings of extensions of almost finite actions into cubical shifts ⋮ The embedding problem in topological dynamics and Takens’ theorem ⋮ Embedding topological dynamical systems with periodic points in cubical shifts ⋮ Dynamical correspondences of \(L^2\)-Betti numbers ⋮ Mean dimension and an embedding theorem for real flows ⋮ Jaworski-type embedding theorems of one-sided dynamical systems ⋮ Minimal subshifts of arbitrary mean topological dimension ⋮ Large dynamics of Yang-Mills theory: mean dimension formula ⋮ Amenable upper mean dimensions ⋮ Weighted upper metric mean dimension for amenable group actions ⋮ Sofic mean length ⋮ Mean topological dimension for random bundle transformations ⋮ Conditional mean dimension ⋮ Takens-type reconstruction theorems of one-sided dynamical systems

Cites Work

• Mean dimension, small entropy factors and an embedding theorem
• Mean topological dimension
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Embedding ℤ^k-actions in cubical shifts and ℤ^k-symbolic extensions
• Induced measure preserving transformations

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