Timeline for A regular variation in infinite ergodic theory
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Aug 25, 2015 at 14:18 | vote | accept | Uchiha | ||
| Aug 23, 2015 at 20:37 | answer | added | user78465 | timeline score: 1 | |
| Aug 21, 2015 at 12:55 | history | edited | Uchiha | CC BY-SA 3.0 |
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| Aug 21, 2015 at 12:36 | history | edited | Uchiha | CC BY-SA 3.0 |
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| Aug 21, 2015 at 12:26 | comment | added | Uchiha | Thanks. I have seen a related concept in infinite ergodic theory which is called pointwise dual ergodicity. But this is a stronger requirement than that, roughly speaking. | |
| Aug 21, 2015 at 9:46 | comment | added | Asaf | @Ray, when most people say ergodic theory, they mean dynamics on finite measure space, hence the measure limitation is not very interesting either. Moreover, try to mimic the proof of ergodicity out of mixing, and it fails in your definition. Perhaps you should tell us what notation exactly do you have in mind, and do you know a reasonable interesting system which have this property (most favorably, homogeneous one, on which such a statement can be analyzed in algebraic tools). | |
| Aug 21, 2015 at 6:57 | history | edited | Uchiha | CC BY-SA 3.0 |
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| Aug 21, 2015 at 6:56 | comment | added | Uchiha | Probably I should not say for any A and B, but any A and B in some finite measure set. | |
| Aug 20, 2015 at 23:10 | comment | added | Anthony Quas | Then taking $A=B=E$ would make this not make sense. | |
| Aug 20, 2015 at 21:57 | comment | added | Uchiha | Ah sorry. There was a typo in my previous question. It is $\mu(A)\mu(B)$, not $\mu(A\cap B)$. | |
| Aug 20, 2015 at 21:54 | history | edited | Uchiha | CC BY-SA 3.0 |
Corrected a typo.
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| Aug 20, 2015 at 20:00 | comment | added | Anthony Quas | Probably not very interesting as this would say that if $A$ and $B$ don't intersect initially, they never will. (The identity transformation has this property, but not much else). | |
| Aug 20, 2015 at 18:08 | history | asked | Uchiha | CC BY-SA 3.0 |