Antipode Preserving Cubic Maps: the Fjord Theorem
Dynamical Systems
2021-02-23 v1
Abstract
This note will study a family of cubic rational maps which carry antipodal points of the Riemann sphere to antipodal points. We focus particularly on the fjords, which are part of the central hyperbolic component but stretch out to infinity. These serve to decompose the parameter plane into subsets, each of which is characterized by a corresponding rotation number.
Keywords
Cite
@article{arxiv.1512.01850,
title = {Antipode Preserving Cubic Maps: the Fjord Theorem},
author = {Araceli Bonifant and Xavier Buff and John Milnor},
journal= {arXiv preprint arXiv:1512.01850},
year = {2021}
}
Comments
54 pages, 26 figures