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We discuss good weights for the mean and pointwise ergodic theorems including both the classical and the topological Wiener-Wintner theorem as well as the Return Times Theorem of Bourgain. We finish the chapter with an overview of further developments.

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Weighted Ergodic Theorems

  • 章节

  • 发表日期：

    2025年

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  • Tanja Eisner,
  • Bálint Farkas

摘要

We discuss good weights for the mean and pointwise ergodic theorems including both the classical and the topological Wiener-Wintner theorem as well as the Return Times Theorem of Bourgain. We finish the chapter with an overview of further developments.