Renormalizing iterated elementary mappings and correspondences of C^2

Details Renormalizing iterated elementary mappings and correspondences of C^2 Renormalizing iterated elementary mappings and correspondences of C^2

2002-11-25

arxiv.org/abs/math/0211381v2

Matematicki Vesnik, Vol. 56, No. 3-4, pp. 85-90 (2004)

Mathematics

Complex Variables

Scientific paper

After proving a multi-dimensional extension of Zalcman's renormalization lemma and considering maximality problems about dimensions, we find renormalizing polynomial families for iterated elementary mappings, extending this result to some kinds of correspondences (by means of 'algebraic' renormalizing families) and to the family of the iterated mappings of an automorphism of $\CI^2$ admitting a repulsive fixed point (by means of a family of polunomial automorphisms composed with a Fatou-Bieberbach one). All families will allow maximal-dimension renormalizations.

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