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- W3204187449 abstract "We prove strengthenings of the Birkhoff Ergodic Theorem for weakly mixing and strongly mixing measure preserving systems. We show that our pointwise theorem for weakly mixing systems is strictly stronger than the Wiener-Wintner Theorem. We also show that our pointwise Theorems for weakly mixing and strongly mixing systems characterize weakly mixing systems and strongly mixing systems respectively. The methods of this paper also allow one to prove an enhanced pointwise ergodic theorem for other levels of the ergodic hierarchy such as ergodicity and mild mixing but not K-mixing. The author plans to include these additional pointwise ergodic theorems in his thesis." @default.
- W3204187449 created "2021-10-11" @default.
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- W3204187449 date "2021-01-01" @default.
- W3204187449 modified "2023-09-23" @default.
- W3204187449 title "Pointwise ergodic theorems for higher levels of mixing" @default.
- W3204187449 doi "https://doi.org/10.4064/sm200915-22-5" @default.
- W3204187449 hasPublicationYear "2021" @default.
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