Mating non-renormalizable quadratic polynomials
Dynamical Systems
2009-03-25 v5
Abstract
In this paper we prove the existence and uniqueness of matings of the basilica with any quadratic polynomial which lies outside of the 1/2-limb of M, is non-renormalizable, and does not have any non-repelling periodic orbits.
Cite
@article{arxiv.math/0610343,
title = {Mating non-renormalizable quadratic polynomials},
author = {Magnus Aspenberg and Michael Yampolsky},
journal= {arXiv preprint arXiv:math/0610343},
year = {2009}
}
Comments
Proof of Theorem 7.2 corrected in the updated version