Geodesic
Branched coverings and cubic Newton maps
Fundamenta Mathematicae, Tome 154 (1997) no. 3, pp. 207-260.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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).
DOI : 10.4064/fm-154-3-207-260

Lei Tan 1

1 
@article{10_4064_fm_154_3_207_260,
     author = {Lei Tan},
     title = {Branched coverings and cubic {Newton} maps},
     journal = {Fundamenta Mathematicae},
     pages = {207--260},
     publisher = {mathdoc},
     volume = {154},
     number = {3},
     year = {1997},
     doi = {10.4064/fm-154-3-207-260},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-154-3-207-260/}
}
TY  - JOUR
AU  - Lei Tan
TI  - Branched coverings and cubic Newton maps
JO  - Fundamenta Mathematicae
PY  - 1997
SP  - 207
EP  - 260
VL  - 154
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-154-3-207-260/
DO  - 10.4064/fm-154-3-207-260
LA  - en
ID  - 10_4064_fm_154_3_207_260
ER  - 
%0 Journal Article
%A Lei Tan
%T Branched coverings and cubic Newton maps
%J Fundamenta Mathematicae
%D 1997
%P 207-260
%V 154
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-154-3-207-260/
%R 10.4064/fm-154-3-207-260
%G en
%F 10_4064_fm_154_3_207_260
Lei Tan. Branched coverings and cubic Newton maps. Fundamenta Mathematicae, Tome 154 (1997) no. 3, pp. 207-260. doi : 10.4064/fm-154-3-207-260. http://geodesic.mathdoc.fr/articles/10.4064/fm-154-3-207-260/

Cité par Sources :