Discrete local holomorphic dynamics

Mathematics – Dynamical Systems

Scientific paper

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Plain-TeX file, 22 pages, to be published in the proceedings of the 13th Seminar on analysis and its applications, Isfahan, Ma

Scientific paper

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.

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