Timeline for Count of non-trivial ergodic measures of a topological dynamical system
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 29, 2021 at 18:50 | vote | accept | Julian Hölz | ||
| Jul 29, 2021 at 18:50 | |||||
| Jul 29, 2021 at 16:24 | comment | added | Yuval Peres | Yes, it is more interesting to restrict to transformations with dense orbits and measures of full support. | |
| Jul 29, 2021 at 16:09 | comment | added | Julian Hölz | I totally forgot about the most trivial dynamical system $\varphi$ that has a large cardinality of ergodic measures, namely the identity mapping $\varphi = \mathrm{id}_X$. Its ergodic measures are exactly the Dirac deltas ${\{\delta_x\}}_{x \in X}$. So the conditions, if they exists, must be more subtle. | |
| Jul 29, 2021 at 15:57 | history | answered | Yuval Peres | CC BY-SA 4.0 |