Critical points on the boundaries of Siegel disks
Dynamical Systems
2009-09-25 v1
Abstract
Let be a polynomial map of the Riemann sphere of degree at least two. We prove that if has a Siegel disk on which the rotation number satisfies a diophantine condition, then the boundary of contains a critical point.
Cite
@article{arxiv.math/9507224,
title = {Critical points on the boundaries of Siegel disks},
author = {James T. Rogers},
journal= {arXiv preprint arXiv:math/9507224},
year = {2009}
}
Comments
5 pages