Abstract
This chapter 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 large bibliography.
Keywords
- Normal Form
- Characteristic Direction
- Siegel Domain
- Parabolic Curf
- Local Dynamical System
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Abate, M. (2010). Discrete Holomorphic Local Dynamical Systems. In: Gentili, G., Guenot, J., Patrizio, G. (eds) Holomorphic Dynamical Systems. Lecture Notes in Mathematics(), vol 1998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13171-4_1
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