The Siegel-Bruno linearization Theorem
Dynamical Systems
2023-12-13 v1
Abstract
The purpose of this paper is to provide a short and self-contained account on Siegel's Theorem, as improved by Bruno, which states that a holomorphic map f of C which fixes 0 can be locally linearized, under certain conditions on the multiplier.
Cite
@article{arxiv.2312.07119,
title = {The Siegel-Bruno linearization Theorem},
author = {Patrick Bernard},
journal= {arXiv preprint arXiv:2312.07119},
year = {2023}
}