Timeline for Ergodic theorem on limit of periodic transformations?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| May 20, 2021 at 18:05 | comment | added | Anthony Quas | I should add that Rudin cites a very simple counterexample (that was probably known before Rudin's paper): the function $f(x)=x^{-(1/2+\epsilon)}$ is a counterexample for any $0<\epsilon<\frac 12$. For these functions, $\limsup\text{avg}_{f,n}(x)=\infty$ a.e. | |
| May 17, 2021 at 8:15 | vote | accept | Monroe Eskew | ||
| May 16, 2021 at 23:48 | history | answered | Anthony Quas | CC BY-SA 4.0 |