Discrete local holomorphic dynamics
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
This is a survey on the local structure about a fixed point of discrete finite-dimensional holomorphic dynamical systems, discussing in particular the existence of local topological conjugacies to normal forms, and the structure of local stable sets in the non-hyperbolic case. The author hopes to keep the survey up to date, and thus it would be grateful to anybody pointing out missing (or mistaken) results and references, and/or suggesting topics to be included or expanded in it.
Cite
@article{arxiv.math/0310089,
title = {Discrete local holomorphic dynamics},
author = {Marco Abate},
journal= {arXiv preprint arXiv:math/0310089},
year = {2007}
}
Comments
Plain-TeX file, 22 pages, to be published in the proceedings of the 13th Seminar on analysis and its applications, Isfahan, March 16-17, 2003