On \'Ecalle-Hakim's theorems in holomorphic dynamics
Marco Arizzi, Jasmin Raissy
TL;DR
This survey offers detailed proofs of Hakim's theorems on the dynamics of biholomorphic germs tangent to the identity, enhancing understanding of local complex dynamical systems.
Contribution
Provides comprehensive, detailed proofs of Hakim's results, clarifying the behavior of holomorphic germs tangent to the identity.
Findings
Clarifies the dynamics of biholomorphisms tangent to the identity
Provides detailed proofs of Hakim's theorems
Enhances understanding of local holomorphic dynamics
Abstract
In this survey we provide detailed proofs for the results by Hakim regarding the dynamics of germs of biholomorphisms tangent to the identity of order and fixing the origin.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals · Functional Equations Stability Results