Timeline for Dynamics of $3^x$ mod 1
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2016 at 12:55 | vote | accept | Jörg Neunhäuserer | ||
| Oct 1, 2013 at 21:26 | comment | added | Anthony Quas | Estimate? Yes, easily; Calculate? Probably not. You can get a good estimate of the entropy using the fact that for absolutely continuous invariant measures, the entropy is the same as the Lyapunov exponent. Just pick a point arbitrarily, and compute $(1/n)\log (f^n)'(x)$. This is easy because you're just averaging the log of the derivative along the orbit. | |
| Oct 1, 2013 at 16:00 | comment | added | Jörg Neunhäuserer | Dear Anthony, thanks for Your answer. Is there the possibility to calculate the entropy of the a.c. measure using the techniques You refer to? Best 9i | |
| Oct 1, 2013 at 15:51 | history | answered | Anthony Quas | CC BY-SA 3.0 |