Timeline for Extension of Khintchine's recurrence in a simple case
Current License: CC BY-SA 4.0
5 events
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| Mar 31, 2022 at 7:38 | comment | added | User | Yes, I believe this is the context of lemma 8.1 in [3] (in a more general setting), but I am not familiar with the notation and some definitions used, so I can't really understand the proof at the moment. | |
| Mar 30, 2022 at 13:23 | history | edited | John Griesmer | CC BY-SA 4.0 |
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| Mar 30, 2022 at 13:18 | comment | added | John Griesmer | I should have read more carefully. I believe the method you describe was used in Frantzikinakis's article referenced above, and in Section 8 of the Ackelsberg, Bergelson, Best article. | |
| Mar 30, 2022 at 7:22 | comment | added | User | Thank you for the answer. Indeed, the average you mention might be smaller than $\mu(A)^3$, but one can instead use a weighted average for the Kronecker factor which is larger than the same bound. So the question becomes; Is the Kronecker factor characteristic for the weighted averages as well? | |
| Mar 30, 2022 at 1:11 | history | answered | John Griesmer | CC BY-SA 4.0 |