@article{ASENS_2002_4_35_3_353_0, author = {Tan, Lei}, title = {On pinching deformations of rational maps}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {353--370}, publisher = {Elsevier}, volume = {Ser. 4, 35}, number = {3}, year = {2002}, doi = {10.1016/s0012-9593(02)01092-3}, mrnumber = {1914001}, zbl = {1041.37022}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(02)01092-3/} }
TY - JOUR AU - Tan, Lei TI - On pinching deformations of rational maps JO - Annales scientifiques de l'École Normale Supérieure PY - 2002 SP - 353 EP - 370 VL - 35 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(02)01092-3/ DO - 10.1016/s0012-9593(02)01092-3 LA - en ID - ASENS_2002_4_35_3_353_0 ER -
%0 Journal Article %A Tan, Lei %T On pinching deformations of rational maps %J Annales scientifiques de l'École Normale Supérieure %D 2002 %P 353-370 %V 35 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(02)01092-3/ %R 10.1016/s0012-9593(02)01092-3 %G en %F ASENS_2002_4_35_3_353_0
Tan, Lei. On pinching deformations of rational maps. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 35 (2002) no. 3, pp. 353-370. doi : 10.1016/s0012-9593(02)01092-3. http://archive.numdam.org/articles/10.1016/s0012-9593(02)01092-3/
[1] Iteration of Rational Functions, Springer-Verlag, 1991. | MR | Zbl
,[2] Cui G., Geometrically finite rational maps with given combinatorics, preprint, February 1997.
[3] Cui G., Deformations of geometrically finite rational maps, April 1997.
[4] Haïssinsky P., Pincement de polynômes, to appear. | MR | Zbl
[5] Unbounded components in parameter space of rational maps, in: Conformal Geometry and Dynamics, Vol. 4, 2000, pp. 1-21. | MR | Zbl
,[6] Complex Dynamics and Renormalization, Ann. Math. Studies, 135, Princeton Univ. Press, 1994. | MR | Zbl
,[7] Quasiconformal homeomorphisms and dynamics III: The Teichmüller space of a holomorphic dynamical system, Adv. Math. 135 (1998) 351-395. | MR | Zbl
, ,[8] Dynamics in One Complex Variable: Introductory Lectures, Vieweg, 1999. | MR | Zbl
,[9] No elliptic limits for quadratic maps, Ergodic Theory Dynamical Systems 19 (1999) 127-141. | MR | Zbl
,[10] On the Pommerenke-Levin-Yoccoz inequality, Ergodic Theory Dynamical Systems 13 (1993) 785-806. | MR | Zbl
,[11] Pilgrim K., Cylinders for iterated rational maps, Ph.D. Thesis, University of California, Berkeley, 1994.
[12] Combining rational maps and controlling obstructions, Ergodic Theory Dynamical Systems 18 (1998) 221-246. | MR | Zbl
, ,[13] On disc-annulus surgery of rational maps, in: , (Eds.), Proceedings of the International Conference in Dynamical Systems in Honor of Professor Liao Shan-tao 1998, World Scientific, 1999, pp. 237-250.
, ,[14] Branched coverings and cubic Newton maps, Fundamenta Mathematicae 154 (1997) 207-260. | MR | Zbl
,[15] Continuous and discrete Newton's algorithms, in: Proceedings of the Conference on Complex Analysis, Nankai Institute of Mathematics, 1992, International Press, 1994, pp. 208-219. | MR | Zbl
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