Abstract
Nous etablissons des conditions necessaires et suffisantes de convergence faible vers la mesure invariante maximale pour le processus de zero-range asymetrique a plus proche voisin en dimension un, avec des taux de sauts inhomogenes. La classe d’« environnements » consideree est proche de celle consideree dans (Stochastic Process. Appl. 90 (2000) 67–81), mais la classe de processus concernee est plus large. Nous donnons egalement, en dimension quelconque, une preuve plus simple du resultat de (In Asymptotics: Particles, Processes and Inverse Problems (2007) 108–120 Inst. Math. Statist.) sous des hypotheses plus faibles.
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