eng Green currents for quasi-algebraically stable meromorphic self-maps of Pk Nguyên, Viêt-Anh info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2012 Quasi-algebraically stable meromorphic map Algebraic degree Rst dy-namical degree Green current Publicacions matemàtiques http://ddd.uab.cat/record/85169 oai:ddd.uab.cat:85169 02141493v56n1p127 10.5565/PUBLMAT_56112_05 Tots els drets reservats http://www.europeana.eu/rights/rr-f/ We construct a canonical Green current Tf for every quasi-algebraically stable meromorphic self-map f of Pk such that its rst dynamical degree 1(f) is a simple root of its characteristic polynomial and that λ1(f) > 1: We establish a functional equation for Tf and show that the support of Tf is contained in the Julia set, which is thus non empty.