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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.