Topological Wiener-Wintner ergodic theorems via non-abelian Lie group extensions

Santos, Sara I. and Walkden, Charles (2007) Topological Wiener-Wintner ergodic theorems via non-abelian Lie group extensions. Ergodic Theory and Dynamical Systems, 27 (5). pp. 1633-1650. ISSN 0143-3857

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Abstract

We generalize a series of topological Wiener–Wintner ergodic theorems due to Walters to the context of group extensions of measure-preserving transformations where the group is a non-abelian compact Lie group. Applications to random ergodic theorems for a shift map are given.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
Depositing User: Ms Lucy van Russelt
Date Deposited: 20 Nov 2007
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/933

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