@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}, volume = {32}, year = {1999}, pages = {151-185}, doi = {10.1016/s0012-9593(99)80013-5}, mrnumber = {2000i:37067}, zbl = {0959.37036}, language = {en}, url = {http://dml.mathdoc.fr/item/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, Tome 32 (1999) pp. 151-185. doi : 10.1016/s0012-9593(99)80013-5. http://gdmltest.u-ga.fr/item/ASENS_1999_4_32_2_151_0/
[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] Surgery on complex polynomials, in Proceedings of the Symposium on Dynamical Systems, Mexico, 1986, Lecture Notes in Math., Vol. 1345, Springer-Verlag, 1987. | Zbl 0668.58026
and ,[BF] Homeomorphisms between limbs of the Mandelbrot set, MSRI Preprint 043-95.
and ,[BH] The iteration of cubic polynomials. Part I : The global topology of parameter space, Acta Mathematica, Vol. 160, 1988, pp. 143-206. | MR 90d:30073 | Zbl 0668.30008
and ,[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 1315535 | Zbl 0934.30023
,[DH1] Étude dynamique des polynômes complexes, I & II, Publ. Math. Orsay, 1984-1985. | Zbl 0552.30018
and ,[DH2] On the dynamics of polynomial-like mappings, Ann. scient. Éc. Norm. Sup., 4e série, Vol. 18, 1985, pp. 287-343. | Numdam | MR 87f:58083 | Zbl 0587.30028
and ,[Ep] Counterexamples to the quadratic mating conjecture, Manuscript in preparation.
,[Fa] Local connectivity in a family of cubic polynomials, Thesis, Cornell 1992.
,[GM] Fixed points of polynomial maps II, Ann. Scient. Éc. Norm. Sup., 4e série, Vol. 26, 1993, pp. 51-98. | Numdam | MR 95d:58107 | Zbl 0771.30028
and ,[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] Quasiconformal Mappings in the Plane, Springer-Verlag, 1973. | MR 49 #9202 | Zbl 0267.30016
and ,[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 84f:30036 | Zbl 0595.30034
,[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] On the dynamics of rational maps, Ann. Scient. Éc. Norm. Sup., 4e série, Vol. 16, 1983, pp. 51-98. | Numdam | Zbl 0524.58025
, and ,[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 97f:57022 | Zbl 0860.58002
,[McS] Quasiconformal homeomorphisms and dynamics III : The Teichmüller space of a rational map, Preprint, 1996.
and ,[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 94c:58096 | Zbl 0762.58018
,[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] Non-local connectivity of the tricorn and multicorns, in Proceedings of the International Conference on Dynamical Systems and Chaos, World Scientific, 1994. | Zbl 0989.37537
and ,[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.
,