Newton maps as matings of cubic polynomials
Dynamical Systems
2018-05-16 v1
Abstract
In this paper we prove existence of matings between a large class of renormalizable cubic polynomials with one fixed critical point and another cubic polynomial having two fixed critical points. The resulting mating is a Newton map. Our result is the first part towards a conjecture by Tan Lei, stating that all (cubic) Newton maps can be described as matings or captures.
Keywords
Cite
@article{arxiv.1408.3971,
title = {Newton maps as matings of cubic polynomials},
author = {Magnus Aspenberg and Pascale Roesch},
journal= {arXiv preprint arXiv:1408.3971},
year = {2018}
}
Comments
15 figures