Timeline for partition into the orbits of a dynamical system
Current License: CC BY-SA 3.0
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| Aug 23, 2015 at 23:32 | comment | added | Vaughn Climenhaga | @StéphaneLaurent, thank you for pointing this out -- it seems this is a mistake in a version of our notes that is still posted on A. Katok's website (the link in Jon's answer), but was corrected when we produced a version for the arXiv, which is at arxiv.org/pdf/1208.4550.pdf -- in the corresponding exercise there we removed the false claim about the intersection. It seems there were other very substantial changes too, since the arxiv version is about 12 pages longer. | |
| Aug 18, 2015 at 13:38 | comment | added | Stéphane Laurent | Hello Vaughn. I think there's a mistake in your exercise 2.1 p10. If $\wedge \xi_n$ denotes the set-theoretic intersection, then it is not measurable in general: Vershik's adic representation theorem show that the orbital partition of any ergodic automorphism is such an intersection. But in the Rokhlin school, this intersection is rather denoted by $\cap \xi_n$, whereas $\wedge \xi_n$ denotes its measurable hull. | |
| Feb 13, 2012 at 8:40 | vote | accept | Stéphane Laurent | ||
| Feb 13, 2012 at 4:45 | history | answered | Vaughn Climenhaga | CC BY-SA 3.0 |