Abstract
In this short note we give a new presentation of the entropy theory of symbolic extensions. Then we deduce from the main results of this theory some continuity properties of the entropy regarding the smoothness of the dynamical system. We also prove that generic continuous interval maps have nowhere continuous entropy function.
| Original language | English |
|---|---|
| Pages (from-to) | 387-400 |
| Number of pages | 14 |
| Journal | Archiv der Mathematik |
| Volume | 96 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Apr 2011 |
| Externally published | Yes |
Keywords
- Entropy
- Entropy structure
- Symbolic extension