Dynamical Systems Seminar

Wiener -Wintner pointwise ergodic theorem

  • 演讲者:Idris Assani(北卡罗莱纳大学教堂山分校)

  • 时间:2019-05-13 11:00-12:00

  • 地点:慧园3栋 415报告厅

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.