Discrete holomorphic local dynamical systems

Details Discrete holomorphic local dynamical systems Discrete holomorphic local dynamical systems

2009-03-19

arxiv.org/abs/0903.3289v1

Mathematics

Dynamical Systems

Notes of the CIME course given in Cetraro (Italy) in July 2008. To appear in "Holomorphic dynamics", G.Gentili, J. Guenot, G.

Scientific paper

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.

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