SKEW-PRODUCT DYNAMICAL SYSTEMS, ELLIS GROUPS AND TOPOLOGICAL CENTRE

DOI10.1017/S0004972708001172zbMath1161.43002arXiv0902.2344OpenAlexW2963880843MaRDI QIDQ3619863

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Publication date: 9 April 2009

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

Full work available at URL: https://arxiv.org/abs/0902.2344

zbMATH Keywords

distal flowcompact groupunique ergodicityEllis group

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items

The topological centre of skew product dynamical systems ⋮ Furstenberg-Ellis-Namioka structure theorem on a CHART group ⋮ On a problem concerning the Banach algebra generated by the maps \(n\mapsto\lambda^{\binom{n}{k}}\) ⋮ The topological center of the spectrum of some distal algebras ⋮ Ellis group and the topological center of the flow generated by the map \(n\mapsto\lambda^{n^k}\). ⋮ On the Ellis group of a class of distal groups and a problem by Milnes ⋮ The topological center of the spectrum of the algebra generated by the maps \(\exp q(t)\) ⋮ Commutator methods for the spectral analysis of uniquely ergodic dynamical systems

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