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Research

Dynamical Systems Seminar

Wiener -Wintner pointwise ergodic theorem

Speaker: Idris Assani (University of North Carolina at Chapel Hill)
Time: May 13, 2019, 11:00-12:00
Location: Conference Room 415, Hui Yuan 3#

Abstract

We give a proof of a generalization of Birkhoff pointwise ergodic theorem which is called the Wiener Wintner pointwise ergodic theorem. (If time permits we will present two proofs; one using the van der Corput Lemma and the second the affinity principle). As an application we will prove the double recurrrence theorem for the L2 norm.

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