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European-Asian Joint Webinar on Dynamical Systems
16:00 - 17:30, May 3, 2022 (Tuesday)
Zoom, Online seminar
(線上演講 Zoom)
On the Fourier Transform of Coin-tossing Type Measures
Kunkun Song (Hunan Normal University)


We give explicit estimates of the Fourier decay rate of some coin-tossing type measures, which generalizes a classical result of Hartman and Kershner. Using an elementary method originated from Cassels and Schmidt, we also prove that almost every point is absolutely normal with respect to such measures. As an application, we present some new examples of measures whose Fourier decay rate could be as slow as possible, yet almost all points are absolutely normal. This talk is based on a joint work with Xiang Gao, Jihua Ma and Yanfang zhang.


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