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Wiener-Wintner return-times ergodic theorem - MaRDI portal

Wiener-Wintner return-times ergodic theorem (Q1905794)

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scientific article; zbMATH DE number 836175
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Wiener-Wintner return-times ergodic theorem
scientific article; zbMATH DE number 836175

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    Wiener-Wintner return-times ergodic theorem (English)
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    13 February 1996
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    The authors consider ergodic averages of the form \({1\over N} \sum e^{in\lambda} f'(S^n y). f(T^n x)\). They investigate how these averages are related to (and characterize) a new factor of the system (and its orthogonal) -- the maximal factor of the type ``Abelian group extension of a group rotation'' which satisfies a certain functional equation.
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    Wiener-Wintner return-times
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    ergodic averages
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    maximal factor
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