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math.DS2005
Une caracterisation des endomorphismes de Lattes par leur mesure de Green
Francois Berteloot, Christophe Dupont
We show that the Lattes endomorphisms are the only holomorphic endomorphisms of the complex k-dimensional projective space whose measure of maximal entropy is absolutely continuous…
math.DS2004★ 1 cited
Linearisation d'endomorphismes holomorphes de CP(k) et caracterisation des exemples de Lattes par leur mesure de Green
Francois Berteloot, Christophe Dupont
Let f an holomorphic endomorphism of CP(k) with degree larger than 2. We show that if the Green measure of f is not singular, then f is rigid : it is a Lattes example. The proof re…