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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Holomorphic motions for unicritical correspondences

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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 type: Scholarships in Brazil - Doctorate