Dynamics of polynomial automorphisms of Ck

Vincent Guedj; Nessim Sibony

doi:10.1007/BF02384535

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Home > Journals > Ark. Mat. > Volume 40 > Issue 2 > Article

October 2002 Dynamics of polynomial automorphisms of C^k

Vincent Guedj, Nessim Sibony

Author Affiliations +

Vincent Guedj,¹ Nessim Sibony²
¹Laboratoire Emile Picard UMR 5580, Université Paul Sabatier
²Mathémathiques, Université Paris-Sud

Ark. Mat. 40(2): 207-243 (October 2002). DOI: 10.1007/BF02384535

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Abstract

We study the dynamics of polynomial automorphisms of C^k. To an algebraically stable automorphism we associate positive closed currents which are invariant under f, considering f as a rational map on P^k. These currents give information on the dynamics and allow us to construct a canonical invariant measure which is shown to be mixing.

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Vincent Guedj. Nessim Sibony. "Dynamics of polynomial automorphisms of C^k." Ark. Mat. 40 (2) 207 - 243, October 2002. https://doi.org/10.1007/BF02384535