| Full text | |
| Author(s): |
Siqueira, Carlos
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 42, n. 8, p. 32-pg., 2021-05-04. |
| Abstract | |
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) | |
| FAPESP's process: | 16/16012-6 - Renormalizable correspondences and Hausdorff dimension |
| Grantee: | Carlos Alberto Siqueira Lima |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |