Timeline for Measure concentrated on the $\omega$-limit set
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jul 7, 2021 at 6:11 | comment | added | Alessandro Della Corte | Yes, this seems to point in the right direction, thanks. | |
| Jul 7, 2021 at 1:16 | comment | added | rpotrie | Maybe you find this useful arxiv.org/abs/1106.4074 | |
| Jul 6, 2021 at 21:51 | comment | added | Alessandro Della Corte | I want that the measure is supported on $\omega(x)$ plus additional conditions ensuring that it describes how densely it is attained. And of course it is imprecise... In fact the real question is: is it worth trying to make this precise or (as I believe) someone already did that? :) | |
| Jul 6, 2021 at 21:42 | comment | added | rpotrie | I think that the question is still imprecise. For $A=\{x\}$ do you just want a measure supported on $\omega(x)$? That can certainly be done. If you want it to describe more accurately how it distributes I guess empirical measures are the only way to go... | |
| Jul 6, 2021 at 13:53 | history | edited | Alessandro Della Corte | CC BY-SA 4.0 |
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| Jul 6, 2021 at 13:49 | comment | added | Alessandro Della Corte | The EDC is meaningful in the ergodic context indeed, while I'm thinking more to the topological dynamical framework. I'm going to edit the question to make it clearer. | |
| Jul 6, 2021 at 13:31 | comment | added | rpotrie | I am not sure I understand what the precise question is, but if I do, I would suggest you look for the "ergodic decomposition theorem" which associates to a full measure set of points an ergodic measure that describes how the point distributes. | |
| Jul 6, 2021 at 13:18 | history | edited | Alessandro Della Corte |
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| Jul 6, 2021 at 12:17 | history | edited | Alessandro Della Corte | CC BY-SA 4.0 |
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| Jul 6, 2021 at 12:12 | history | asked | Alessandro Della Corte | CC BY-SA 4.0 |