| Texto completo | |
| Autor(es): |
Hazard, Peter
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | ARKIV FOR MATEMATIK; v. 58, n. 1, p. 95-119, 2020. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 15/17909-7 - Regularidade e fronteira do caos |
| Beneficiário: | Edson de Faria |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |