We give a Thurston classification of those bicritical rational maps which have two period two superattracting cycles. We also show that all such maps are constructed by the mating of two unicritical degree polynomials.
Nous donnons une classification de Thurston des fractions rationnelles bicritiques possédant deux cycles superattractifs de période deux. Nous montrons également que toutes les fractions rationnelles de ce type sont construites par accouplement de deux polynômes unicritiques de degré .
@article{AFST_2012_6_21_S5_907_0,
author = {Adam Epstein and Thomas Sharland},
title = {A classification of bicritical rational maps with a pair of period two superattracting cycles},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {907--934},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 21},
number = {S5},
year = {2012},
doi = {10.5802/afst.1357},
mrnumber = {3088262},
zbl = {06167096},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1357/}
}
TY - JOUR AU - Adam Epstein AU - Thomas Sharland TI - A classification of bicritical rational maps with a pair of period two superattracting cycles JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2012 SP - 907 EP - 934 VL - 21 IS - S5 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1357/ DO - 10.5802/afst.1357 LA - en ID - AFST_2012_6_21_S5_907_0 ER -
%0 Journal Article %A Adam Epstein %A Thomas Sharland %T A classification of bicritical rational maps with a pair of period two superattracting cycles %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2012 %P 907-934 %V 21 %N S5 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1357/ %R 10.5802/afst.1357 %G en %F AFST_2012_6_21_S5_907_0
Adam Epstein; Thomas Sharland. A classification of bicritical rational maps with a pair of period two superattracting cycles. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 21 (2012) no. S5, pp. 907-934. doi : 10.5802/afst.1357. https://afst.centre-mersenne.org/articles/10.5802/afst.1357/
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