Branched coverings and cubic Newton maps

Tom 154 / 1997

Fundamenta Mathematicae 154 (1997), 207-260 DOI: 10.4064/fm-154-3-207-260

Streszczenie

We construct branched coverings such as matings and captures to describe the dynamics of every critically finite cubic Newton map. This gives a combinatorial model of the set of cubic Newton maps as the gluing of a subset of cubic polynomials with a part of the filled Julia set of a specific polynomial (Figure 1).

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