Timeline for List of Bernoulli chaotic systems
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 9, 2016 at 15:41 | comment | added | Ian Morris | I have since learned that the answer to my question above is not "none". In 1980 Katok constructed a discrete-time smooth diffeomorphism of an $8$-manifold which is Kolmogorov but not Bernoulli. Lower-dimensional examples were subsequently constructed by Rudolph (dimension 5) and Kanigowski, Rodriguez-Hertz and Vinhage (dimension 4). | |
| Apr 28, 2016 at 16:34 | answer | added | user39115 | timeline score: 0 | |
| Dec 1, 2015 at 17:07 | comment | added | Ian Morris | An interesting converse question would be "Which (natural invariant measures on) discrete-time smooth dynamical systems are known to be mixing, of positive metric entropy, and not Bernoulli?". I think the answer might be "none". | |
| Dec 1, 2015 at 16:58 | vote | accept | demitau | ||
| Dec 1, 2015 at 15:40 | answer | added | Vaughn Climenhaga | timeline score: 6 | |
| Dec 1, 2015 at 11:47 | history | asked | demitau | CC BY-SA 3.0 |