| Texto completo | |
| Autor(es): |
Clark, Trevor
;
De Faria, Edson
;
Van Strien, Sebastian
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. N/A, p. 49-pg., 2022-11-29. |
| Resumo | |
The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of asymptotically holomorphic extensions of C-r (r > 3) unimodal maps that are infinitely renormalizable of bounded type. Here we prove a version of the Fatou-Julia-Sullivan theorem and a topological straightening theorem in this setting. In particular, these maps do not have wandering domains and their Julia sets are locally connected. (AU) | |
| Processo FAPESP: | 16/25053-8 - Dinâmica e geometria em baixas dimensões |
| Beneficiário: | André Salles de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 16/25970-0 - Renormalização de sistemas assintoticamente Holomorfos |
| Beneficiário: | Edson de Faria |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |