| Texto completo | |
| Autor(es): |
Siqueira, Carlos
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Ergodic Theory and Dynamical Systems; v. 42, n. 8, p. 32-pg., 2021-05-04. |
| Resumo | |
This paper establishes the geometric rigidity of certain holomorphic correspondences in the family (w - c)(q) = z(p), whose post-critical set is finite in any bounded domain of C. In spite of being rigid on the sphere, such correspondences are J-stable by means of holomorphic motions when viewed as maps of C-2. The key idea is the association of a conformal iterated function system to the return branches near the critical point, giving a global description of the post-critical set and proving the hyperbolicity of these correspondences. (AU) | |
| Processo FAPESP: | 16/16012-6 - Correspondências renormalizáveis e dimensão de Hausdorff |
| Beneficiário: | Carlos Alberto Siqueira Lima |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |