Timeline for Birkhoff ergodic theorem and the measure of the bad points
Current License: CC BY-SA 3.0
6 events
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| Sep 3, 2013 at 17:18 | comment | added | Henry Towsner | @user39115: I don't know Krengel's construction in any detail (and it's not a simple one), but my guess is that the oscillations aren't doing anything very interesting. A very quick glance suggests that he inserts a something like a single oscillation for each $a_N$ in a thinned subsequence. | |
| Sep 3, 2013 at 17:17 | history | edited | Henry Towsner | CC BY-SA 3.0 |
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| Aug 28, 2013 at 15:11 | history | edited | Henry Towsner | CC BY-SA 3.0 |
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| Aug 28, 2013 at 14:59 | comment | added | user39115 | Question: Can you say something about the oscillation of $\chi_A$? I guess that the set $A$ must have some nice (''bad'') properties. | |
| Aug 28, 2013 at 14:51 | comment | added | user39115 | Thanks. By the way, a stupid comment. It is $A_N f=\frac{1}{N}\sum_{i<N} f(T^{i}x).$ | |
| Aug 25, 2013 at 21:06 | history | answered | Henry Towsner | CC BY-SA 3.0 |