, Volume 40, Issue 2, pp 207-243

Dynamics of polynomial automorphisms ofC k

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Abstract

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