ℤd-actions with prescribed topological and ergodic properties

DOI10.1017/S0143385710000908zbMath1247.37011arXiv0912.2107OpenAlexW2964110816MaRDI QIDQ2884082

Yuri Lima

Publication date: 24 May 2012

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

Full work available at URL: https://arxiv.org/abs/0912.2107

zbMATH Keywords

total minimalitypositive topological entropy\(\mathbb Z^{d}\)-actionstotal strict ergodicity

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (1)

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Cites Work

• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• The ergodic theorem
• Some counterexamples in topological dynamics
• Strictly ergodic models for dynamical systems
• Strict Ergodicity and Transformation of the Torus
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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