Timeline for Count of non-trivial ergodic measures of a topological dynamical system
Current License: CC BY-SA 4.0
13 events
when toggle format | what | by | license | comment | |
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Jul 29, 2021 at 23:32 | history | became hot network question | |||
Jul 29, 2021 at 20:16 | answer | added | Ronnie Pavlov | timeline score: 4 | |
Jul 29, 2021 at 19:58 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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S Jul 29, 2021 at 18:50 | vote | accept | Julian Hölz | ||
S Jul 29, 2021 at 18:50 | vote | accept | Julian Hölz | ||
S Jul 29, 2021 at 18:50 | |||||
Jul 29, 2021 at 16:49 | vote | accept | Julian Hölz | ||
S Jul 29, 2021 at 18:50 | |||||
Jul 29, 2021 at 16:29 | history | edited | Julian Hölz | CC BY-SA 4.0 |
Exclude trivial cases from the question
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Jul 29, 2021 at 16:20 | comment | added | Julian Hölz | Thank you. This seemed to have to have crossed my mind only after posting the question. Perhaps we could modify the question to the following: Under which conditions is the set of ergodic measures $\mu$ of $\varphi$ that have a support $\mathrm{supp}(\mu)$ that contains at least 2 elements countable. | |
Jul 29, 2021 at 16:08 | comment | added | Jochen Glueck | Welcome (and Servus :-) ) to MathOverflow! In addition to the answers already given, let's note that if $\varphi$ is simply the identity mapping, then the invariant ergodic measures are precisely the Dirac point measures - so their cardinality equals the cardinality of $X$. | |
Jul 29, 2021 at 15:57 | answer | added | Vaughn Climenhaga | timeline score: 8 | |
Jul 29, 2021 at 15:57 | answer | added | Yuval Peres | timeline score: 7 | |
Jul 29, 2021 at 15:35 | review | First posts | |||
Jul 29, 2021 at 15:54 | |||||
Jul 29, 2021 at 15:30 | history | asked | Julian Hölz | CC BY-SA 4.0 |