Timeline for Existence of a continuous ergodic dynamical system for a given distribution?
Current License: CC BY-SA 4.0
4 events
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| Sep 13, 2021 at 21:03 | comment | added | Martin M. W. | It might be simplest to ask a new question, and make reference to this one as motivation. But feel free to add an update if you want (it's your question!), just make it clear what the old version of the question was, so this answer and other comments still make sense. | |
| Sep 13, 2021 at 18:53 | comment | added | Cupitor | Thank you, great example. Do you mind if I update my question by asking that for the given measure with support $M$, and $\delta>0$ there exist another measure such as $\mu'$, where $\mu'$ with support $M$ which is the time average of a dynamical system, and additionally $\|\mu-\mu'\|_{KS}<\delta$. I feel your example is in line with how one makes a counter-example to convert Boltzmannean ergodicity to von Neumannean ergodicity. No? | |
| Sep 13, 2021 at 15:03 | history | edited | Martin M. W. | CC BY-SA 4.0 |
Clarified answer, made reference to a connectivity of support
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| Sep 13, 2021 at 0:53 | history | answered | Martin M. W. | CC BY-SA 4.0 |