Fatou flowers and parabolic curves

2015/01/09 by Marco Abate, Abate, Marco
Mathematics · #32H50 #37F75 #37F99 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CV #math.DS #msc:32H50 #msc:37F75 #msc:37F99

paper · pdf · doi:10.48550/arxiv.1501.02176

26 pages, A few more misprints has been corrected, and the survey has been updated to July 2015

arxiv created 2015/07/14 · arxiv updated 2015/07/15

Abstract

In this survey we shall collect the main results known up to now (July 2015) regarding possible generalizations to several complex variables of the classical Leau-Fatou flower theorem in holomorphic parabolic dynamics.

Related

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• Dynamics of surface homeomorphisms Topological versions of the Leau-Fatou flower theorem and the stable manifold theorem
• Introduction to Fatou components in holomorphic dynamics
• Interactions between function theory and holomorphic dynamics
• Geometric methods in holomorphic dynamics