Timeline for About the ergodic theorem of Birkhoff in the context of a compact Riemannian manifold
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 7, 2017 at 0:04 | vote | accept | matematicaActiva | ||
| May 29, 2017 at 20:29 | comment | added | Anthony Quas | Aren't those quantities numerically equal? I think the distribution of $T_0(\omega)$ is exactly $\nu$. | |
| May 29, 2017 at 18:11 | comment | added | matematicaActiva | In this case, I have $\int \log^{+}\left( \delta_{1}(T)+\delta_{2}(T) \right)\nu (dT) <\infty$, but I don`t have $$\int \log^{+}\left( \delta_{1}(T_{0}(\omega))+\delta_{2}(T_{0}(\omega)) \right)\mathbb{P} (d\omega) <\infty,$$ which is what I should have to use your argument, I do not know if that is easy to infer. | |
| May 29, 2017 at 17:52 | history | answered | Anthony Quas | CC BY-SA 3.0 |