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Topological Wiener–Wintner ergodic theorems via non-abelian Lie group extensions
Published online by Cambridge University Press: 01 October 2007
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.
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- Copyright © Cambridge University Press 2007
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