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Jumps of entropy for $C^r$ interval maps
| Content Provider | Semantic Scholar |
|---|---|
| Author | Burguet, David |
| Copyright Year | 2015 |
| Abstract | We study the jump of topological entropy for $C^r$ interval or circle maps. We prove in particular that the topological entropy is continuous at any $f \in C^r([0; 1])$ with $h_{top}(f) > \frac{\log^+ \|f'\|_\infty}{r}$. To this end we study the continuity of the entropy of the Buzzi-Hofbauer diagrams associated to $C^r$ interval maps. |
| Starting Page | 299 |
| Ending Page | 317 |
| Page Count | 19 |
| File Format | PDF HTM / HTML |
| DOI | 10.4064/fm231-3-5 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1504.02670v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.4064/fm231-3-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
