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2007.190: Topological Wiener-Wintner ergodic theorems via non-abelian Lie group extensions

2007.190: Sara I. Santos and Charles Walkden (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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DOI: 10.1017/S014338570600109X

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 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2007.190
Deposited By:Mrs Louise Healey
Deposited On:20 November 2007

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