A family of cubic rational maps and matings of cubic polynomials
Shishikura, Mitsuhiro ; Lei, Tan
Experiment. Math., Tome 9 (2000) no. 3, p. 29-53 / Harvested from Project Euclid
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We study a family of cubic branched coverings and matings of cubic polynomials of the form $g\mate f$, with $g=g_a:z\mapsto z^3+a$ and $f=P_i$ for $i=1$, 2, 3 or $4$. We give criteria for matability or not of critically finite $g_a$ with each $P_i$. The maps $g_a\mate P_1$ illustrate features that do not occur for matings of quadratic polynomials: they never have Levy cycles but do sometimes have Thurston obstructions.
Publié le : 2000-05-14
Classification:  37F10,  30C10 
@article{1046889589,
     author = {Shishikura, Mitsuhiro and Lei, Tan},
     title = {A family of cubic rational maps and matings of cubic polynomials},
     journal = {Experiment. Math.},
     volume = {9},
     number = {3},
     year = {2000},
     pages = { 29-53},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1046889589}
}

Shishikura, Mitsuhiro; Lei, Tan. A family of cubic rational maps and matings of cubic polynomials. Experiment. Math., Tome 9 (2000) no. 3, pp.  29-53. http://gdmltest.u-ga.fr/item/1046889589/