Wiener-Wintner theorem for semigroups of Markov operators

Speaker(s)

Adam Śpiewak

Affiliation

Uniwersytet Warszawski

Date

Dec. 9, 2016, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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Topological version of the Wiener-Wintner theorem characterizes parameters z from the complex unit circle for which averages \frac{1}{N} \sum_{n=0}^{N-1} z^n f(T^n x) are uniformly convergent for every continuous function f, where (X,T) is a topological dynamical system. I will present extensions of this result to amenable semigroups of Markov operators on C(X). This is joint work with W. Bartoszek.

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