Zero-dimensional principal extensions

DOI10.1007/s10440-013-9810-yzbMath1329.37008OpenAlexW1988363713WikidataQ59303499 ScholiaQ59303499MaRDI QIDQ368701

Tomasz Downarowicz, Dawid Huczek

Publication date: 23 September 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-013-9810-y

zbMATH Keywords

topological dynamical systemprincipal extensionzero-dimensional extension

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (12)

New approach to weighted topological entropy and pressure ⋮ Maximal entropy measures in dimension zero ⋮ Shadowing and mixing on systems of countable group actions ⋮ Forward mean proximal pairs and zero entropy ⋮ Relative topological conditional entropy and a Ledrappier's type variational principle for it ⋮ Symbolic extensions and uniform generators for topological regular flows ⋮ Variational principle for weighted topological pressure with subadditive potentials ⋮ Induced topological pressure and the zero-dimensional extension for BS dimensions ⋮ Tail variational principle for a countable discrete amenable group action ⋮ Topological entropy zero and asymptotic pairs ⋮ Zero-dimensional and symbolic extensions of topological flows ⋮ Modeling potential as fiber entropy and pressure as entropy

Cites Work

• Unnamed Item
• Entropy structure
• Mean dimension, small entropy factors and an embedding theorem
• The entropy theory of symbolic extensions
• Mean topological dimension

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