Timeline for Minimal elements of minimal R^k actions
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2015 at 11:58 | vote | accept | coudy | ||
| Jul 9, 2010 at 13:57 | comment | added | rpotrie | Ok, I understand. minimality is too much. Transitivity does work in this example though. Thanks | |
| Jul 9, 2010 at 7:42 | comment | added | coudy | Yes, the action of the horocyclic flow is ergodic and mixing of all order. This implies that the diagonal action $(h_s,h_s)$ is also ergodic on SxS. So there are points $(x,y)$ with dense orbit under the diagonal action. But of course this does not imply that all orbits are dense. | |
| Jul 8, 2010 at 19:59 | comment | added | rpotrie | Sorry, this may be naive, but isn't the action of the horocyclic flow also ergodic? this does not also contradicts Pugh-Shub's result? | |
| Jul 7, 2010 at 19:38 | history | answered | coudy | CC BY-SA 2.5 |