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| Full text | |
| Author(s): |
Siqueira, Carlos
;
Smania, Daniel
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Nonlinearity; v. 30, n. 8, p. 3104-3125, AUG 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We study quasiconformal deformations and mixing properties of hyperbolic sets in the family of holomorphic correspondences z(r) + c, where r > 1 is rational. Julia sets in this family are projections of Julia sets of holomorphic maps on C-2, which are skew-products when r is integer, and solenoids when r is non-integer and c is close to zero. Every hyperbolic Julia set in C2 moves holomorphically. The projection determines a branched holomorphic motion with local (and sometimes global) parameterizations of the plane Julia set by quasiconformal curves. (AU) | |
| FAPESP's process: | 10/17397-2 - Dynamics of holomorphic correspondences |
| Grantee: | Carlos Alberto Siqueira Lima |
| Support Opportunities: | Scholarships in Brazil - Doctorate |