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Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains. (English) Zbl 0589.30022
This paper contains the detailed proof of the result, announced in the author’s paper [C. R. Acad. Sci., Paris, Sér. I 194, 301-303 (1982; Zbl 0496.30016)], that a rational mapping of the sphere has no wandering domains of normality. The methods introduced also allow a new proof of Ahlfors’ finiteness theorem in Kleinian groups.
Reviewer: I.N.Baker

MSC:
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
37B99 Topological dynamics
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