Pré-Publication, Document De Travail Année : 2013

On the resurgent approach to Ecalle-Voronin's invariants, II

Artem Dudko
  • Fonction : Auteur
  • PersonId : 944106
David Sauzin

Résumé

Given a holomorphic germ at the origin of C with a simple parabolic fixed point, the Fatou coordinates have a common asymptotic expansion whose formal Borel transform is resurgent. We show how to use Ecalle's alien operators to study the singularities in the Borel plane and relate them to the horn maps, providing each of Ecalle-Voronin's invariants in the form of a convergent numerical series. The proofs are original and self-contained, with ordinary Borel summability as the only prerequisite.

Fichier principal
Vignette du fichier
RAEVIb.pdf (170.21 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-00849401 , version 1 (30-07-2013)
hal-00849401 , version 2 (21-08-2013)
hal-00849401 , version 3 (02-07-2014)

Licence

Identifiants

Citer

Artem Dudko, David Sauzin. On the resurgent approach to Ecalle-Voronin's invariants, II. 2013. ⟨hal-00849401v1⟩
320 Consultations
492 Téléchargements

Altmetric

Partager

  • More