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1 Background The purpose of this note is to study the Fatou–Julia dichotomy, not for the iterates of a single holomorphic endomorphism of C , k ≥ 2, but for a family F of such maps. The Fatou set of F will be by definition the largest open set where the family is normal, i.e., given any sequence in F there exists a subsequence which is uniformly convergent(More)
We study some dynamical properties of skew products of Hénon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical behavior of the composition of a pseudorandom sequence of Hénon mappings. In analogy with the dynamics of the iterates of a single Hénon map, it is possible to construct fibered Green(More)
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