English

On \'Ecalle-Hakim's theorems in holomorphic dynamics

Complex Variables 2011-11-09 v2 Dynamical Systems

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 k+12k+1\ge 2 and fixing the origin.

Cite

@article{arxiv.1106.1710,
  title  = {On \'Ecalle-Hakim's theorems in holomorphic dynamics},
  author = {Marco Arizzi and Jasmin Raissy},
  journal= {arXiv preprint arXiv:1106.1710},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T18:19:46.065Z