Timeline for K-flows reference
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 5, 2022 at 13:42 | vote | accept | jason | ||
| Feb 3, 2022 at 16:57 | comment | added | LSpice | @user103342's reference, clickably: Totoki - On a class of special flows. | |
| Feb 3, 2022 at 16:43 | history | edited | LSpice | CC BY-SA 4.0 |
Inlining link, including name of author, and using preferred link syntax
|
| Feb 3, 2022 at 16:38 | answer | added | Alp Uzman | timeline score: 2 | |
| Dec 27, 2021 at 18:55 | comment | added | jason | @user103342 great, this is very helpful. But it is strange, Totoki's paper cited Gurevič's paper, but in Mathscient, Totoki's paper is not in the list of citations of Gurevič's paper. | |
| Dec 27, 2021 at 8:27 | comment | added | user103342 | Its not true that all suspensions of K-induced map are K-flows, its true if the roof function is not "essentially-constant". You can show this by (extending/understandng) the proof in: Totoki, Haruo. On a class of special flows. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 15 (1970), 157–167. | |
| Dec 26, 2021 at 21:44 | comment | added | Asaf | I guess the quickest way would be to either show that the conditions holds for powers (shouldn't be hard, given a generating partition) and then play a bit with the definition of the suspension, or otherwise go through the equivalence to uniform mixing, then the theorem is clear for powers, probably suspension is not hard as well... | |
| Dec 26, 2021 at 14:48 | history | edited | YCor |
edited tags
|
|
| Dec 26, 2021 at 14:31 | comment | added | jason | yes, but want to understand its proof. Do you know which textbooks/notes talk about it? Thanks! | |
| Dec 26, 2021 at 7:45 | comment | added | Asaf | I don't read/understand Russian, but just skimming through the paper it seems very clear (i.e. p. 93) they use a suspension construction. Are you asking whether if one $T$ is a K-map, then all other powers (and the suspension map) are K-maps? this is indeed correct... | |
| Dec 26, 2021 at 2:59 | history | asked | jason | CC BY-SA 4.0 |