Timeline for Mixing property of first return map
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 21, 2014 at 0:39 | comment | added | Pengfei | I see. Pick a smaller set $B\subset A$ such that the return of $B$ does not intersect $B$. Then we can adjust the roof function on $B$ and its return such that they are rationally independent, but their combining effect is constant. | |
| Mar 21, 2014 at 0:13 | comment | added | Anthony Quas | This doesn't change anything. Make the roof function 10 in most places; occasionally 9 and then next time around 11. The new system is conjugate to something with constant roof function, but is aperiodic. If you want unbounded, you can arrange that as well by deleting some parts of the base from $A$. | |
| Mar 20, 2014 at 22:48 | comment | added | Pengfei | I just added one forgotten assumption that I had in mind when asking my question. Sorry about this. | |
| Mar 20, 2014 at 21:56 | comment | added | Pengfei | The suspension with constant roof function! How could I even forgot this? Thanks! | |
| Mar 20, 2014 at 21:15 | history | answered | Anthony Quas | CC BY-SA 3.0 |