Parabolic Components in Cubic Polynomial Slice $Per_1(1)$
Dynamical Systems
2022-10-27 v1
Abstract
We prove that the boundary of every parabolic component in the cubic polynomial slice is a Jordan curve by adapting the technique of para-puzzles presented in \cite{Roesch1}. We also give a global description of the connected locus : it is the union of two main parabolic components and the limbs attached on their boundaries.
Cite
@article{arxiv.2210.14305,
title = {Parabolic Components in Cubic Polynomial Slice $Per_1(1)$},
author = {Runze Zhang},
journal= {arXiv preprint arXiv:2210.14305},
year = {2022}
}