Arkiv för Matematik

, Volume 40, Issue 2, pp 207–243

Dynamics of polynomial automorphisms ofCk

  • Vincent Guedj
  • Nessim Sibony
Article

DOI: 10.1007/BF02384535

Cite this article as:
Guedj, V. & Sibony, N. Ark. Mat. (2002) 40: 207. doi:10.1007/BF02384535

Abstract

We study the dynamics of polynomial automorphisms ofCk. To an algebraically stable automorphism we associate positive closed currents which are invariant underf, consideringf as a rational map onPk. These currents give information on the dynamics and allow us to construct a canonical invariant measure which is shown to be mixing.

Copyright information

© Institut Mittag-Leffler 2002

Authors and Affiliations

  • Vincent Guedj
    • 1
  • Nessim Sibony
    • 2
  1. 1.Laboratoire Emile Picard UMR 5580Université Paul SabatierToulouse Cedex 04France
  2. 2.MathémathiquesUniversité Paris-SudOrsay CedexFrance