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

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

2007-01-05

arxiv.org/abs/math/0701182v1

Mathematics

Dynamical Systems

30 pages, 2 figures. To appear in Ergodic Theory and Dynamical Systems

Scientific paper

One 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.

Affiliated with

Also associated with

No associations

Rating

On the Structure of Abstract Hubbard Trees and the Space of Abstract Kneading Sequences of Degree Two does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Structure of Abstract Hubbard Trees and the Space of Abstract Kneading Sequences of Degree Two, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Structure of Abstract Hubbard Trees and the Space of Abstract Kneading Sequences of Degree Two will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-305585