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arxiv: 0903.3289 · v1 · submitted 2009-03-19 · 🧮 math.DS · math.CV

Discrete holomorphic local dynamical systems

classification 🧮 math.DS math.CV
keywords localholomorphicseveralsurveyarxivbibliographycasecomplex
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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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