Unique ergodicity for zero-entropy dynamical systems with the approximate product property

DOI10.1007/s10114-020-9377-2zbMath1466.37011arXiv1908.01149OpenAlexW3113674600MaRDI QIDQ831038

N. E. Zubov

Publication date: 10 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01149

zbMATH Keywords

minimalityperiodic pointstopological entropyinterval mapspecificationergodic measureunique ergodicityapproximate product propertygluing orbit

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (3)

Relative entropy dimension for countable amenable group actions ⋮ The irregular set for maps with almost weak specification property has full metric mean dimension ⋮ Non-dense orbits of systems with the approximate product property

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