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).
@article{bwmeta1.element.bwnjournal-article-fmv154i3p207bwm,
author = {Lei Tan},
title = {Branched coverings and cubic Newton maps},
journal = {Fundamenta Mathematicae},
volume = {154},
year = {1997},
pages = {207-260},
zbl = {0903.58029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv154i3p207bwm}
}
Tan, Lei. Branched coverings and cubic Newton maps. Fundamenta Mathematicae, Tome 154 (1997) pp. 207-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv154i3p207bwm/
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