@article{ASENS_1999_4_32_2_151_0,
author = {Epstein, Adam and Yampolsky, Michael},
title = {Geography of the cubic connectedness locus : intertwining surgery},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {151--185},
publisher = {Elsevier},
volume = {Ser. 4, 32},
number = {2},
year = {1999},
doi = {10.1016/s0012-9593(99)80013-5},
mrnumber = {2000i:37067},
zbl = {0959.37036},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/s0012-9593(99)80013-5/}
}
TY - JOUR AU - Epstein, Adam AU - Yampolsky, Michael TI - Geography of the cubic connectedness locus : intertwining surgery JO - Annales scientifiques de l'École Normale Supérieure PY - 1999 SP - 151 EP - 185 VL - 32 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(99)80013-5/ DO - 10.1016/s0012-9593(99)80013-5 LA - en ID - ASENS_1999_4_32_2_151_0 ER -
%0 Journal Article %A Epstein, Adam %A Yampolsky, Michael %T Geography of the cubic connectedness locus : intertwining surgery %J Annales scientifiques de l'École Normale Supérieure %D 1999 %P 151-185 %V 32 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(99)80013-5/ %R 10.1016/s0012-9593(99)80013-5 %G en %F ASENS_1999_4_32_2_151_0
Epstein, Adam; Yampolsky, Michael. Geography of the cubic connectedness locus : intertwining surgery. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 32 (1999) no. 2, pp. 151-185. doi : 10.1016/s0012-9593(99)80013-5. http://archive.numdam.org/articles/10.1016/s0012-9593(99)80013-5/
[Bi1] , Changing the order of critical points of polynomials using quasiconformal surgery, Thesis, Cornell, 1989.
[Bi2] , Questions in quasiconformal surgery, pp. 2-8, in Conformal Dynamics Problem List, ed. B. Bielefeld, Stony Brook IMS Preprint 1990/1991, and in part 2 of Linear and Complex Analysis Problem Book 3, ed. V. Havin and N. Nikolskii, Lecture Notes in Math., Vol. 1574, Springer-Verlag, 1994.
[BD] and , Surgery on complex polynomials, in Proceedings of the Symposium on Dynamical Systems, Mexico, 1986, Lecture Notes in Math., Vol. 1345, Springer-Verlag, 1987. | Zbl
[BF] and , Homeomorphisms between limbs of the Mandelbrot set, MSRI Preprint 043-95.
[BH] and , The iteration of cubic polynomials. Part I : The global topology of parameter space, Acta Mathematica, Vol. 160, 1988, pp. 143-206. | MR | Zbl
[Bu] , Extension d'homéomorphismes de compacts de ℂ, Manuscript, and personal communication.
[Do] , Does a Julia set depend continuously on a polynomial ?, Proc. of Symp. in Applied Math., Vol. 49, 1994. | MR | Zbl
[DH1] and , Étude dynamique des polynômes complexes, I & II, Publ. Math. Orsay, 1984-1985. | Zbl
[DH2] and , On the dynamics of polynomial-like mappings, Ann. scient. Éc. Norm. Sup., 4e série, Vol. 18, 1985, pp. 287-343. | Numdam | MR | Zbl
[Ep] , Counterexamples to the quadratic mating conjecture, Manuscript in preparation.
[Fa] , Local connectivity in a family of cubic polynomials, Thesis, Cornell 1992.
[GM] and , Fixed points of polynomial maps II, Ann. Scient. Éc. Norm. Sup., 4e série, Vol. 26, 1993, pp. 51-98. | Numdam | MR | Zbl
[Haï] , Chirurgie croisée, Manuscript, 1996.
[Hub] , Local connectivity of Julia sets and bifurcation loci : three theorems of J.-C. Yoccoz, in Topological methods in Modern Mathematics, Publish or Perish, 1992, pp. 467-511 and 375-378.
[Ki] , Non-accessible critical points of Cremer polynomials, IMS at Stony Brook Preprint 1995/2.
[La] , Systèmes dynamiques holomorphes : Explosion de points périodiques, Thèse, Université de Paris-Sud, 1989.
[LV] and , Quasiconformal Mappings in the Plane, Springer-Verlag, 1973. | MR | Zbl
[Lyu1] , On typical behavior of the trajectories of a rational mapping of the sphere, Soviet. Math. Dokl., Vol. 27, 1983, No. 1, pp. 22-25. | MR | Zbl
[Lyu2] , On the Lebesgue measure of a quadratic polynomial, IMS at Stony Brook Preprint 1991/2010.
[Lyu3] , Dynamics of quadratic polynomials, I. Combinatorics and geometry of the Yoccoz puzzle, MSRI Preprint 026-95.
[MSS] , and , On the dynamics of rational maps, Ann. Scient. Éc. Norm. Sup., 4e série, Vol. 16, 1983, pp. 51-98. | Numdam | Zbl
[McM1] , Complex Dynamics and Renormalization, Annals of Math. Studies, Princeton Univ. Press, 1993.
[McM2] , Renormalization and 3-Manifolds which Fiber over the Circle, Annals of Math. Studies, Princeton Univ. Press, 1996. | MR | Zbl
[McS] and , Quasiconformal homeomorphisms and dynamics III : The Teichmüller space of a rational map, Preprint, 1996.
[Mil1] , Dynamics in one complex variable : Introductory lectures, IMS at Stony Brook Preprint 1990/1995.
[Mil2] , Remarks on iterated cubic maps, Experimental Math., Vol. 1 1992, pp. 5-24. | MR | Zbl
[Mil3] , On cubic polynomials with periodic critical point, Manuscript, 1991.
[Mil4] , Hyperbolic components in spaces of polynomial maps, with an appendix by A. Poirier, IMS at Stony Brook Preprint 1992/1993.
[Mil5] , Periodic orbits, external rays and the Mandelbrot set ; An expository account, Preprint, 1995.
[NS] and , Non-local connectivity of the tricorn and multicorns, in Proceedings of the International Conference on Dynamical Systems and Chaos, World Scientific, 1994. | Zbl
[Sh] , The parabolic bifurcation of rational maps, Colóquio Brasileiro de Matemática 19, IMPA, 1992.
[Win] , Bifurcations in families of antiholomorphic and biquadratic maps, Thesis, Boston University, 1989.
[Yar] , Local connectivity and Lebesgue measure of polynomial Julia sets, Thesis, SUNY at Stony Brook, 1995.
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