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Timeline for Maximal ergodic inequality

Current License: CC BY-SA 4.0

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Mar 20, 2022 at 21:40 vote accept John
Mar 12, 2022 at 5:31 history edited Yuval Peres CC BY-SA 4.0
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Mar 12, 2022 at 5:10 comment added Yuval Peres Indeed, I will edit the example to make it ergodic
Mar 11, 2022 at 23:00 comment added John thanks for the great references! In your example, $f$ is actually non-ergodic since it is a rational rotation. But it gives a clue that the expected ergodic inequality may hold under a stronger condition like mixing.
Mar 10, 2022 at 19:49 history answered Yuval Peres CC BY-SA 4.0