Timeline for Do ergodicity, minimality and equicontinuity on a compact space imply total ergodicity?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 10, 2015 at 8:31 | answer | added | Ian Morris | timeline score: 0 | |
| Aug 6, 2015 at 7:59 | history | edited | Stéphane Laurent | CC BY-SA 3.0 |
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| Aug 5, 2015 at 22:52 | vote | accept | Stéphane Laurent | ||
| Aug 5, 2015 at 21:03 | answer | added | V. Delecroix | timeline score: 2 | |
| Aug 5, 2015 at 17:29 | comment | added | Stéphane Laurent | @pavel I am under the impression your remark applies to this Proposition 18.37. The last statement is not true for the transformation you mention, isn't it ? | |
| Aug 5, 2015 at 17:29 | comment | added | Stéphane Laurent | @AnthonyQuas I have just seen in Petersen's book that a minimal transformation on a compact metric space is equicontinuous if and only if it is a group rotation. | |
| Aug 5, 2015 at 17:13 | comment | added | Anthony Quas | I think if the powers of $T$ are equicontinuous, then $T$ has to be a group rotation (look up "maximal equicontinuous factor"). | |
| Aug 5, 2015 at 16:55 | comment | added | Stéphane Laurent | @pavel Thank you for this remark. Is it better with "aperiodic" ? | |
| Aug 5, 2015 at 16:54 | history | edited | Stéphane Laurent | CC BY-SA 3.0 |
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| Aug 5, 2015 at 16:49 | comment | added | pavel | You should probably add some connectedness hypothesis, since otherwise the claim fails for the non-identity transformation on the two point set. | |
| Aug 5, 2015 at 15:49 | history | asked | Stéphane Laurent | CC BY-SA 3.0 |