Smooth Siegel disks without number theory: A remark on a proof by Buff and Cheritat
Dynamical Systems
2014-04-04 v1 Complex Variables
Abstract
X. Buff and A. Cheritat proved that there are quadratic polynomials having Siegel disks with smooth boundaries. Based on a simplification of A. Avila, we give yet another simplification of their proof. The main tool used is a harmonic function introduced by Yoccoz whose boundary values are the sizes of the Siegel disks. The proof also applies to some other families of polynomials, entire and meromorphic functions.
Cite
@article{arxiv.math/0510578,
title = {Smooth Siegel disks without number theory: A remark on a proof by Buff and Cheritat},
author = {Lukas Geyer},
journal= {arXiv preprint arXiv:math/0510578},
year = {2014}
}
Comments
5 pages