On the quasiconformal surgery of rational functions
Annales scientifiques de l'École Normale Supérieure (1987)
- Volume: 20, Issue: 1, page 1-29
- ISSN: 0012-9593
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topShishikura, Mitsuhiro. "On the quasiconformal surgery of rational functions." Annales scientifiques de l'École Normale Supérieure 20.1 (1987): 1-29. <http://eudml.org/doc/82191>.
@article{Shishikura1987,
author = {Shishikura, Mitsuhiro},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {periodic point; stable region; rational map; nonrepelling cycles; attractive basins; parabolic basins; Herman rings},
language = {eng},
number = {1},
pages = {1-29},
publisher = {Elsevier},
title = {On the quasiconformal surgery of rational functions},
url = {http://eudml.org/doc/82191},
volume = {20},
year = {1987},
}
TY - JOUR
AU - Shishikura, Mitsuhiro
TI - On the quasiconformal surgery of rational functions
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 1
SP - 1
EP - 29
LA - eng
KW - periodic point; stable region; rational map; nonrepelling cycles; attractive basins; parabolic basins; Herman rings
UR - http://eudml.org/doc/82191
ER -
References
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- [10] M. R. HERMAN, Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann (Bull. Soc. Math. Fr., Vol. 112, 1984, pp. 93-142). Zbl0559.58020MR86d:58055
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- [12] G. JULIA, Mémoire sur l'itération des fonctions rationnelles (J. Math. pures et appl., Vol. 8, 1918, pp. 47-245). Zbl46.0520.06JFM46.0520.06
- [13] O. LEHTO and K. VIRTANEN, Quasiconformal Mappings in the Plane, Springer-Verlag, 1973. Zbl0267.30016MR49 #9202
- [14] R. MAÑ;É, P. SAD and D. SULLIVAN, On the Dynamics of Rational Maps (Ann. scient. Éc. Norm. Sup., 4th Serie, T. 16, 1983. pp. 193-217). Zbl0524.58025MR85j:58089
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- [16] M. SHISHIKURA, Surgery of Complex Analytic Dynamical systems, Dynamical Systems and Nonlinear Oscillations, G. IKEGAMI Ed., World Scientific Advanced Series in Dynamical Systems, Vol. 1, World Scientific, 1986, pp. 93-105.
- [17] D. SULLIVAN, Quasiconformal Homeomorphisms and Dynamics I, III, preprint I.H.E.S.
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