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Quadratic polynomials and combinatorics of the principal nest

Rodrigo A. Pérez
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Abstract

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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Rodrigo A. Pérez. 2003-10-19. Quadratic polynomials and combinatorics of the principal nest. https://arxiv.org/abs/math/0310300

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