Timeline for Applications of and motivation for von Neumann's mean ergodic theorem
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 29, 2011 at 11:16 | vote | accept | Quinn Culver | ||
| Aug 21, 2011 at 21:09 | history | edited | Quinn Culver | CC BY-SA 3.0 |
Changed "Von" to "von".
|
| Aug 21, 2011 at 20:51 | answer | added | Barry Simon | timeline score: 9 | |
| Aug 21, 2011 at 16:18 | history | edited | Quinn Culver | CC BY-SA 3.0 |
added 36 characters in body
|
| Aug 21, 2011 at 13:13 | history | edited | Quinn Culver | CC BY-SA 3.0 |
Added Edit and Question 3
|
| Aug 21, 2011 at 13:08 | comment | added | Quinn Culver | @Mark Thanks, I think I see what you mean: VNMET just gives $L^{2}$ (or even $L^{1}$) convergence instead of pointwise. But the reason I'm asking is because I want to be able to convince my audience that VNMET is important in its own right (if it actually is). Do you know of any applications of this type that show VNMET to be useful/important? | |
| Aug 21, 2011 at 13:00 | history | edited | Quinn Culver | CC BY-SA 3.0 |
Added background and reordered questions
|
| Aug 20, 2011 at 18:09 | comment | added | Mark | I think that in any application of the pointwise ergodic theorem, you can apply the mean ergodic theorem instead and it will yield some weaker statistical conclusion. | |
| Aug 20, 2011 at 14:39 | answer | added | Alain Valette | timeline score: 11 | |
| Aug 20, 2011 at 13:10 | answer | added | Ian Morris | timeline score: 9 | |
| Aug 20, 2011 at 8:42 | comment | added | Alain Valette | For the history of the von Neumann ergodic theorem, look at Halmos' reminiscences: poncelet.math.nthu.edu.tw/disk5/js/biography/v-n.pdf or else at: phil.elte.hu/redei/Utrecht/neumannergod.ps | |
| Aug 19, 2011 at 23:10 | comment | added | Will Jagy | Ellenberg-Venkatesh is described as an application of ergodic theory, math.wisc.edu/~ellenber/papers.html#QF | |
| Aug 19, 2011 at 22:59 | history | edited | Quinn Culver |
edited tags
|
|
| Aug 19, 2011 at 22:52 | comment | added | Yemon Choi | Since this question asks for a list rather than a best answer, I think it should be made "community wiki" | |
| Aug 19, 2011 at 22:46 | history | asked | Quinn Culver | CC BY-SA 3.0 |