| Full text | |
| Author(s): |
Hazard, Peter
Total Authors: 1
|
| Document type: | Journal article |
| Source: | ARKIV FOR MATEMATIK; v. 58, n. 1, p. 95-119, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
For each real alpha, 0 <= alpha < 1, we give examples of endomorphisms in dimension one with infinite topological entropy which are alpha-Holder; and for each real p, 1 <= p<infinity, we also give examples of endomorphisms in dimension one with infinite topological entropy which are (1, p)-Sobolev. These examples are constructed within a family of endomorphisms with infinite topological entropy and which traverse all-Holder and (1, p)-Sobolev classes. Finally, we also give examples of endomorphisms, also in dimension one, which lie in the big and little Zygmund classes, answering a question of M. Benedicks. (AU) | |
| FAPESP's process: | 15/17909-7 - Regularity and the boundary of chaos |
| Grantee: | Edson de Faria |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |