| Автор | Henk Bruin |
| Дата выпуска | 1996-09-01 |
| dc.description | A homeomorphism is quasi-symmetric if there exist such that for every and , . In this paper we demonstrate a topological condition that prohibits a tent-map to be quasi-symmetrically conjugate to any unimodal map. This topological condition is so weak that almost every tent-map satisfies it. We show in a similar way that typically a degree 2 circle map with a critical point cannot be quasi-symmetrically conjugate to the angle doubling map. We discuss another topological condition (persistent recurrence of the critical point), which is almost complementary to the first. We show that a unimodal map f with a persistently recurrent critical point does not satisfy the Collet - Eckmann condition and (if f is non-flat as well), is not quasi-symmetrically conjugate to a tent-map. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Quasi-symmetry of conjugacies between interval maps |
| Тип | paper |
| DOI | 10.1088/0951-7715/9/5/007 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 9 |
| Первая страница | 1191 |
| Последняя страница | 1207 |
| Аффилиация | Henk Bruin; Mathematical Institute, University of Erlangen-Nürnberg, Bismarckstraße , D-91054 Erlangen, Germany |
| Выпуск | 5 |
