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Detalles Bibliográficos
Autor principal: Kawahira, Tomoki
Formato: Preprint
Publicado: 2006
Materias:
Acceso en línea:https://arxiv.org/abs/math/0609280
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  • We introduce tessellation of the filled Julia sets for hyperbolic and parabolic quadratic maps. Then the dynamics inside their Julia sets are organized by tiles which work like external rays outside. We also construct continuous families of pinching semiconjugacies associated with hyperblic-to-parabolic degenerations without using quasiconformal deformation. Instead we use tessellation and investigation on the hyperbolic-to-parabolic degeneration of linearizing coordinates inside the Julia sets.