Discrete holomorphic local dynamical systems
Dynamical Systems
2009-03-20 v1 Complex Variables
Abstract
This is a survey on local dynamics of holomorphic maps in one and several complex variables, discussing in particular normal forms and the structure of local stable sets in the non-hyperbolic case, and including several proofs and a vast bibliography. It updates and enlarge the previous survey arXiv:math/0310089v1.
Cite
@article{arxiv.0903.3289,
title = {Discrete holomorphic local dynamical systems},
author = {Marco Abate},
journal= {arXiv preprint arXiv:0903.3289},
year = {2009}
}
Comments
Notes of the CIME course given in Cetraro (Italy) in July 2008. To appear in "Holomorphic dynamics", G.Gentili, J. Guenot, G. Patrizio eds., Lect. Notes in Math., Springer, Berlin, 2009