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Topological entropy zero and asymptotic pairs

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Publication:1760362
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DOI10.1007/s11856-011-0174-6zbMath1267.37014OpenAlexW1984922355MaRDI QIDQ1760362

Yves Lacroix, Tomasz Downarowicz

Publication date: 13 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0174-6


zbMATH Keywords

topological entropytopological determinismasymptotic pairsPinsker-like factors


Mathematics Subject Classification ID

Topological entropy (37B40)


Related Items (4)

Forward mean proximal pairs and zero entropy ⋮ Measure-theoretic chaos ⋮ A hierarchy of topological systems with completely positive entropy ⋮ Extreme partitions of a Lebesgue space and their application in topological dynamics



Cites Work

  • Unnamed Item
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  • Zero-dimensional principal extensions
  • Mean dimension, small entropy factors and an embedding theorem
  • The entropy theory of symbolic extensions
  • Mean topological dimension
  • Asymptotic pairs in positive-entropy systems
  • Zero Entropy Factors of Topological Flows
  • Topological complexity
  • Topological size of scrambled sets
  • Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
  • Asymptotic properties of expansive homeomorphisms


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