Speed of convergence towards attracting sets for endomorphisms of P k - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Indiana University Mathematics Journal Année : 2013

Speed of convergence towards attracting sets for endomorphisms of P k

Johan Taflin
  • Fonction : Auteur
  • PersonId : 1020228

Résumé

Let f be a non-invertible holomorphic endomorphism of P k having an attracting set A. We show that, under some natural assumptions, A supports a unique invariant positive closed current τ, of the right bidegree and of mass 1. Moreover, if R is a current supported in a small neighborhood of A then its push-forwards by f n converge to τ exponentially fast. We also prove that the equilibrium measure on A is hyperbolic.
Fichier principal
Vignette du fichier
attrac-speed.pdf (348.94 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02375556 , version 1 (22-11-2019)

Identifiants

Citer

Johan Taflin. Speed of convergence towards attracting sets for endomorphisms of P k. Indiana University Mathematics Journal, 2013, 62 (1), pp.33-44. ⟨10.1512/iumj.2013.62.4895⟩. ⟨hal-02375556⟩
31 Consultations
30 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More