Quadratic polynomials and combinatorics of the principal nest

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The definition of principal nest is supplemented with a system of frames that make possible the classification of combinatorial types for every level of the nest. As a consequence, we give necessary and sufficient conditions for the admissibility of a type and prove that given a sequence of non-renormalizable finite admissible types, there is a quadratic polynomial whose nest realizes the sequence.
23pages, 8 figures

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Dynamical Systems, 37F20

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http://salesiana.dossiersoluciones.com/handle/123456789/68916

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310300
 http://arxiv.org/abs/math/0310300

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arXiv