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60 years of dynamics and number expansions

Topological Wiener-Wintner ergodic theorem with polynomial weights

speaker: Ai-Hua Fan (Univ. Picardie, France/CCNU, China)

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.

timetable:
Tue 11 Dec, 10:45 - 11:30, Aula Dini
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