All minimal Cantor systems are slow

DOI10.1112/blms.12275zbMath1447.37016arXiv1902.10641OpenAlexW2963173214WikidataQ127493644 ScholiaQ127493644MaRDI QIDQ5110580

Jiří Kupka, Piotr Oprocha, Jan P. Boroński

Publication date: 21 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10641

zbMATH Keywords

Cantor setminimalityperiodic pointstopological entropyodometersminimal Cantor systemsexpansive systemsgraph coversshrinking points

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamics in general topological spaces (37B02)

Related Items (2)

A Cantor dynamical system is slow if and only if all its finite orbits are attracting ⋮ Graph covers of higher dimensional dynamical systems

Cites Work

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• Differentiability versus continuity: Restriction and extension theorems and monstrous examples
• TOPOLOGICAL RANK DOES NOT INCREASE BY NATURAL EXTENSION OF CANTOR MINIMALS
• Constructions of strictly ergodic systems

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