Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains (Q1073953)
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scientific article; zbMATH DE number 3946540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains |
scientific article; zbMATH DE number 3946540 |
Statements
Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains (English)
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1985
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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.
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quasiconformal homeomorphisms
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wandering domains
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Kleinian groups
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0.8870669
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0.8842335
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0.8799094
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0.8752863
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