TL;DR
This survey reviews the main known results up to 2015 on generalizations of the Leau-Fatou flower theorem from one complex variable to several complex variables in holomorphic parabolic dynamics.
Contribution
It compiles and discusses the existing results and progress on extending classical one-variable dynamics to higher dimensions.
Findings
Summary of key results up to 2015
Identification of open problems in the field
Framework for future research in complex dynamics
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.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Meromorphic and Entire Functions · Advanced Differential Equations and Dynamical Systems