Quadratic polynomials and combinatorics of the principal nest

Mathematics – Dynamical Systems

Scientific paper

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23pages, 8 figures

Scientific paper

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.

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