On Écalle-Hakim's theorems in holomorphic dynamics

Details On Écalle-Hakim's theorems in holomorphic dynamics On Écalle-Hakim's theorems in holomorphic dynamics

2011-06-09

arxiv.org/abs/1106.1710v2

Mathematics

Complex Variables

58 pages; revised version accepted in Proceedings of "Frontiers in Complex Dynamics"

Scientific paper

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
$k+1\ge 2$ and fixing the origin.

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