Timeline for Lebesgue entropy zero and positive topological entropy
Current License: CC BY-SA 3.0
3 events
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| Feb 9, 2014 at 0:50 | comment | added | rpotrie | I guess the real analytic case does not help much. Either there is a known example, or it is not known. The standard map (and others which appear in the "coexistence" link above) are real analytic families where the topological entropy is known to be positive, but the metric entropy (or Lyapunov exponents) is not known (as far as I know). | |
| Feb 8, 2014 at 7:15 | comment | added | shurtados | Thanks a lot for the comment, the references are very helpful. I'm actually interested in the real analytic case, do you know anything special about how relevant could be such assumption? | |
| Feb 7, 2014 at 20:34 | history | answered | rpotrie | CC BY-SA 3.0 |