2003/10/07 by Marco Abate, Abate, Marco · 2 citations
Mathematics · Physics and Astronomy · #32H50 (Secondary) #37F50 #37F99 (Primary) #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.CV #math.DS #msc:32H50 #msc:37F50 #msc:37F99
paper · pdf · doi:10.48550/arxiv.math/0310089
Plain-TeX file, 22 pages, to be published in the proceedings of the 13th Seminar on analysis and its applications, Isfahan, March 16-17, 2003
arxiv created 2003/10/07 · openalex publication_date 2003/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.