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).