On the Structure of Abstract Hubbard Trees and the Space of Abstract Kneading Sequences of Degree Two

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dc.creatorKaffl, Alexandra
dc.date2007-01-05
dc.date.accessioned2026-07-07T07:39:08Z
dc.date.available2026-07-07T07:39:08Z
dc.descriptionOne of the fundamental properties of the Mandelbrot set is that the set of postcritically finite parameters is structured like a tree. We extend this result to the set of quadratic kneading sequences and show that this space contains no irrational decorations. Along the way, we prove a combinatorial analogue to the correspondence principle of dynamic and parameter rays. Our key tool is to work simultaneously with the two equivalent combinatorial concepts of Hubbard trees and kneading sequences.
dc.description30 pages, 2 figures. To appear in Ergodic Theory and Dynamical Systems
dc.identifierhttps://arxiv.org/abs/math/0701182
dc.identifierhttp://arxiv.org/abs/math/0701182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121335
dc.subjectDynamical Systems
dc.subject37F20; 37F10; 37E25
dc.titleOn the Structure of Abstract Hubbard Trees and the Space of Abstract Kneading Sequences of Degree Two
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