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On decomposable rational maps - MaRDI portal

On decomposable rational maps (Q2888646)

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scientific article; zbMATH DE number 6040471
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On decomposable rational maps
scientific article; zbMATH DE number 6040471

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    On decomposable rational maps (English)
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    1 June 2012
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    decomposable rational maps
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    uniformization theorem
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    hyperbolicity
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    The paper under review gives a dynamical approach to the algebraic problem of the decomposition of rational maps by describing the set of decompositions of a rational map, along with the decompositions of all its iterates. The authors give a uniformization for the space of decompositions of the iterates of a rational map and show that J-stablity implies hyperbolicity for decomposable rational maps.
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