Topological Wiener-Wintner ergodic theorem with polynomial weights

Ai-hua Fan

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 105-116

Abstract: For a totally uniquely ergodic dynamical system, we prove a topological Wiener-Wintner ergodic theorem with polynomial weights under the coincidence of the quasi-discrete spectrums of the system in both senses of Abramov and of Hahn-Parry. The result applies to ergodic nilsystems. Fully oscillating sequences can then be constructed on nilmanifolds.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:105-116

DOI: 10.1016/j.chaos.2018.10.015

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