Skew product dynamical systems, Ellis groups and topological centre

Details Skew product dynamical systems, Ellis groups and topological centre Skew product dynamical systems, Ellis groups and topological centre

2009-02-13

arxiv.org/abs/0902.2344v1

Mathematics

Functional Analysis

To appear in Bull. Austral. Math. Soc

Scientific paper

In this paper, a general construction of a skew product dynamical system, for which the skew product dynamical system studied by Hahn is a special case, is given. Then the ergodic and topological properties (of a special type) of our newly defined systems (called Milnes type systems) are investigated. It is shown that the Milnes type systems are actually natural extensions of dynamical systems corresponding to some special distal functions. Finally, the topological centre of the Ellis group of any skew product dynamical system is calculated.

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