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

Published online by Cambridge University Press:  01 October 2007

SARA I. SANTOS  and
CHARLES WALKDEN
SARA I. SANTOS
Affiliation:
School of Mathematics, The University of Manchester, Oxford Road, Manchester M13 9PL, UK (email: [email protected])
CHARLES WALKDEN
Affiliation:
School of Mathematics, The University of Manchester, Oxford Road, Manchester M13 9PL, UK (email: [email protected])
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 5 , October 2007 , pp. 1633 - 1650
Copyright
Copyright © Cambridge University Press 2007

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