On Écalle-Hakim's theorems in holomorphic dynamics

Marco Arizzi , Jasmin Raissy (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

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.

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Marco Arizzi, Jasmin Raissy. On Écalle-Hakim's theorems in holomorphic dynamics. Frontiers in complex dynamics, 2014. ⟨hal-01610386⟩