Maximal entropy measures in dimension zero

DOI10.4064/cm127-1-4zbMath1257.37008arXiv1503.02827OpenAlexW2325440542MaRDI QIDQ2893052

Dawid Huczek

Publication date: 25 June 2012

Published in: Studia Mathematica, Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02827

zbMATH Keywords

entropytopological entropyamenable groupfree actionzero-dimensional systemasymptotically \(h\)-expansive system

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Topological entropy (37B40) General theory of group and pseudogroup actions (22F05)

Related Items (4)

Tail variational principle and asymptotic \(h\)-expansiveness for amenable group actions ⋮ A Banach space-valued ergodic theorem for amenable groups and applications ⋮ The symbolic extension theory in topological dynamics ⋮ Symbolic Extensions of Amenable Group Actions and the Comparison Property

Cites Work

• Unnamed Item
• Zero-dimensional principal extensions
• Forward mean proximal pairs and zero entropy
• Pointwise theorems for amenable groups.
• Tilings of amenable groups
• The entropy theory of symbolic extensions
• An anti-classification theorem for ergodic measure preserving transformations
• Mean topological dimension
• Faithful zero-dimensional principal extensions
• Entropy theory without a past
• Dynamical quasitilings of amenable groups
• Folner's Conditions for Amenable Semi-Groups.

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