[Ahi] L. Ahlfors, Lectures on quasiconformal mappings, Van Nostrand, 1966. | MR | Zbl

[Ah2] L. Ahlfors, Conformal invariants, McGraw-Hill, 1973. | MR | Zbl

[Ber] L. Bers, Finite-dimensional Teichmüller spaces and generalizations, Bull. of the AMS, vol. 5, pp. 131-172, 1981. | MR | Zbl | DOI

[BR] L. Bers & H.L. Royden, Holomorphic families of imjections, Acta Math., vol. 157, pp. 259-286, 1986. | MR | Zbl | DOI

[Beu] A. Beurling, Collected works, Birkäuser, 1989.

[Bil] B. Bielefeld, Changing the order of critical points of polynomials using quasiconformal surgery, Ph.D. Thesis, Cornell University, 1989. | MR

[Bi2] B. Bielefeld (editor), Conformal dynamics problem list, preprint IMS at Stony Brook, 1990.

[Bow] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math. No. 470, 1975. | Zbl | MR

[BD] B. Branner & A. Douady, Surgery on complex polynomials, proc. symp. of dyn. syst., Mexico (1986), Lecture Notes in Math. No. 1345, pp. 11-72, 1988. | MR | Zbl

[BF] B. Branner & N. Fagella, Homeomorphisms between limbs of the Mandelbrot set, preprint MSRI, 1995. | MR | Zbl

[BH] B. Branner & J.H. Hubbard, The iteration of cubic polynomial, part II : Patterns and parapatterns, Acta Math., vol. 169, pp. 229-325, 1992. | MR | Zbl

[Br] A.D. Brjuno, Convergence of transformations of differential equations to normal forms, Dokl. Akad. Nauk. URSS, vol. 165, pp. 987-989, 1965. | MR | Zbl

[Bu] X. Buff, Points fixes de renormalisation, Thèse de doctorat, Université de Paris-Sud, 1996.

[BS] S. Bullett & P. Sentenac, Ordered orbits of the shift, square roots and the devil's staircase, Math. Proc. Camb. Phil. Soc., vol. 155, pp. 451-481, 1994. | MR | Zbl | DOI

[CG] L. Carleson & T.W. Gamelin, Complex dynamics, Springer-Verlag, 1993. | MR | Zbl | DOI

[CJY] L. Carleson, P. Jones & J.C. Yoccoz, Julia & John, Bol. Soc. Brasil. Mat., vol. 25, pp. 1-30, 1994. | MR | Zbl | DOI

[CJS] G. Cui, Y. Jiang & D. Sullivan, On the dynamics of geometrically finite maps, preprint 1996.

[Da] G. David, Solutions de l'équation de Beltrami avec ${∥\mu ∥}_{\infty }=1$, Ann. Acad. Sci. Fenn. Ser. A 1 Math., 13, pp. 25-70, 1988. | MR | Zbl | DOI

[Do1] A. Douady, Systèmes dynamiques holomorphes, Sém. Bourbaki No. 499, nov. 1982. | Zbl | Numdam | MR

[Do2] A. Douady, Algorithms for computing angles in the Mandelbrot set, in Chaotic Dynamics and Fractals, Atlanta 1985, Notes Rep. Math. Sci. Engrg., vol. 2, pp. 155-168, 1986. | MR | Zbl | DOI

[Do3] A. Douady, Applications de la chirurgie holomorphe, proc. Int. Congr. Math., Berkeley, pp. 724-738, 1986. | Zbl

[Do4] A. Douady, Disques de Siegel et anneaux de Herman, Sém. Bourbaki No. 677, 1986-87. | MR | Zbl | Numdam

[Do5] A. Douady, Descriptions of compact sets of C, Topological methods in modem mathematics (Stony Brook, 1991), pp. 429-465, 1993. | MR | Zbl

[Do6] A. Douady, Prolongements de mouvements holomorphes [d'après Slodkowski et autres], Sém. Bourbaki No. 775, nov. 1993. | MR | Numdam

[Do7] A. Douady, Notes manuscrites.

[DE] A. Douady & C.J. Earle, Conformally natural extension of homeomorphisms of the circle, Acta Math., vol. 157, pp.23-48, 1986. | MR | Zbl | DOI

[DH1] A. Douady & J.H. Hubbard, Etude dynamique des polynômes complexes I & II, pub. math. d'Orsay 84-02 et 85-05, 1984/85. | MR | Zbl

[DH2] A. Douady & J.H. Hubbard, On the dynamics of polynomial-like mappings, Ann. Sci. ENS Paris, vol. 18, pp. 287-343, 1985. | MR | Zbl | Numdam

[DH3] A. Douady & J.H. Hubbard, A proof of Thurston's topological characterization of rational functions, Acta Math., vol. 171, pp. 263-297, 1993. | MR | Zbl

[EM] C.J. Earle & C.T. Mcmullen, Quasiconformal isotopies, proc. MSRI "Holomorphic functions and moduli I" (1986), pp. 143-154, Berkeley, 1988. | MR | Zbl

[EY] A. Epstein & M. Yampolsky, Geography of the cubic connected locus I : intertwining surgery, preprint IMS at Stony Brook, 1996. | MR | Zbl | Numdam

[dF] A. De Faria, Asymptotic rigidity of scaling ratios for critical circle mappings, preprint IMS at Sony Brook, 1996. | MR | Zbl

[F] D. Faught, Local connectivity in a family of cubic polynomials, Ph.D. Thesis, Cornell, 1992. | MR

[Ge] F. W. Gehring, Characterizations of quasidisks, preprint 1997. | MR | Zbl

[Gh] E. Ghys, Transformations holomorphes au voisinage d'une courbe de Jordan, C.R. Acad. Sci. Paris, vol. 298, 1984. | MR | Zbl

[Go] L.R. Goldberg, Fixed points of polynomial maps. I Rotation subsets of the circle, Ann. Sci. ENS Paris, vol. 25, pp. 679-685, 1992. | MR | Zbl | Numdam

[He] M. Herman, Are there critical points on the boundary of a Siegel disk ?, Comm. Math. Phys, vol. 99, pp. 593-612, 1985. | MR | Zbl | DOI

[Hu] J.H. Hubbard, Local connectivity of Julia sets and bifurcation loci : three theorems of J.C. Yoccoz, Topological methods in modern mathematics (Stony Brook, 1991), pp. 467-511, 1993. | MR | Zbl

[HS] J.H. Hubbard & D. Schleicher, The spider algorithm, Complex dyn. syst. (Cincinnati, 1994), Proc. Symp. Appl. Math. vol. 49, pp. 155-180, 1994. | MR | Zbl

[Jo] P. Jones, On removable sets for Sobolev spaces in the plane, Essays on Fourier analysis in homour of E. Stein (Princeton 1991), Princeton Math. Series 42, pp. 250-267, 1995. | MR | Zbl

[La1] P. Lavaurs, Une description combinatoire de l'involution définie par M sur les rationnels à dénominateur impair, C.R.A.S., vol. 303, pp. 143-146, 1986. | MR | Zbl

[La2] P. Lavaurs, Systèmes dynamiques holomorphes : explosion de points paraboliques, Thèse de doctorat, Université Paris-Sud, 1989.

[Lev] S. Levy, Critically finite rational maps, Ph.D. Thesis, Princeton, 1985. | MR

[LV] O. Lehto & K. Virtanen, Quasiconformal maps in the plane, Springer, 1973. | MR | Zbl

[Ly1] M. Lyubich, On the Lebesgue measure of the Julia set of a quadratic polynomial, preprint IMS at Stony Brook, 1991.

[Ly2] M. Lyubich, Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture, preprint IHES, 1996. | MR | Zbl

[Ly3] M. Lyubich, Dynamics of quadratic polynomials I & II, Acta Math., vol. 178, pp. 185-297, 1997. | MR | Zbl | DOI

[Mc1] C.T. Mcmullen, Automorphisms of rational maps, proc. MSRI "Holomorphic functions and moduli I" (1986), pp. 31-60, Berkeley, 1988. | MR | Zbl | DOI

[Mc2] C.T. Mcmullen, Complex dynamics and renormalization, Ann. of Math. Studies, No. 134, Princeton, 1994. | MR | Zbl

[Mc3] C.T. Mcmullen, Renormalization and 3-manifolds which fiber over the circle, Ann. of Math. Studies, No. 142, Princeton, 1996. | MR | Zbl

[Mc4] C.T. Mcmullen, Self-similarity of Siegel disks and Hausdorff dimension of Julia sets, preprint, 1996. | MR | Zbl

[Mc5] C.T. Mcmullen, Hausdorff dimension and conformal dynamics I & II, preprint, 1997. | Zbl

[McS] C.T. Mcmullen & D. Sullivan, Quasiconformal homeomorphism & dynamics III : the Teichmüller space of a holomorphic dynamical system, preprint, 1996. | MR | Zbl

[Mk1] P. Makienko, Unboundedness of hyperbolic components in parameter space, ICTP Trieste preprint IC/93/84, 1993.

[Mk2] P. Makienko, Pinching and Plumbing, ICTP Trieste preprint, 1993.

[Mk3] P. Makienko, Totally disconnected Julia sets, Berkeley preprint 1995-042, 1995.

[MSS] R. Mané, P. Sad & D. Sullivan, On the dynamics of rational maps, Ann. Sci. ENS Paris, pp. 193-217, 1983. | MR | Zbl | Numdam

[Ms] B. Maskit, Kleinian groups, Springer-Verlag, 1988. | MR | Zbl

[Mi] J. Milnor, Dynamics in one complex variable : Introductory lectures, preprint IMS at Stony Brook, 1990. | MR | Zbl

[Mo] R.L. Moore, Concerning upper semi-continuous collections of compacta, Trans. Amer. Math. Soc., vol. 27, pp. 416-428, 1925. | MR | JFM | DOI

[Pe1] C.L. Petersen, On the Pommerenke-Levin-Yoccoz inequality, Erg. Th. & Dyn. Sys., vol. 13, pp. 785-806, 1993. | MR | Zbl

[Pe2] C.L. Petersen, Local connectivity of some Julia sets containing a circle with an irrational rotation, Acta Math., vol. 177, pp. 163-224, 1996. | MR | Zbl | DOI

[Pe3] C.L. Petersen, No elliptic limits for quadratic maps, to appear in Erg. Th. & Dyn. Sys. | MR | Zbl

[Pi] K. Pilgrim, Noncompactness of hyperbolic components, preprint, 1993.

[PM] R. Perez-Marco, Topology of Julia sets and hedgehogs, prépublication d'Orsay, 1994.

[PTL] K. Pilgrim & Tan L., Surgery on postcritically finite rational maps by blowing up an arc, à paraître dans Erg. Th. & Dyn. Sys.

[Po] A. Poirier, Hubbard Trees, preprint IMS at Stony Brook, 1994. | MR | Zbl

[Ru] D. Ruelle, Repellers for real analytic maps, Erg. Th. and Dyn. Syst., vol. 2, pp. 99-107, 1982. | MR | Zbl | DOI

[Sh1] M. Shishikura, On the quasiconformal surgery of rational functions, Ann. Sci. de l'ENS, vol. 20, pp. 1-29, 1987. | MR | Zbl | Numdam

[Sh2] M. Shishikura, On a theorem of M. Rees for the matings of polynomials, preprint IHES, juin 1990. | MR | Zbl

[Sh3] M. Shishikura, The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets, preprint IMS at Sony Brook, 1991. | MR | Zbl

[STL] M. Shishikura & Tan L., A family of cubic rational maps & matings of cubic polynomials, preprint. | MR | Zbl | DOI

[Sł] Z. Słodkowski, Holomorphic motions and polynomial hulls, Proc. AMS, vol. 111, pp. 347-355, 1991. | MR | Zbl | DOI

[St] E. Stein, Singular integrals and differentiability properties of functions, Princeton Math. Series No. 30, 1970. | MR | Zbl

[SN] S. Van Strien & T. Nowicki, Polynomials maps with a Julia set of positive measure, preprint IMS at Stony Brook, 1994.

[Sul] D. Sullivan, Conformal dynamical systems, Lecture Notes in Math., No. 1007, pp. 725-752, 1984. | MR | Zbl

[Su2] D. Sullivan, Quasiconformal homeomorphisms and dynamics I : Solution of the Fatou/Julia problem on wandering domains, Ann. of Math., vol. 122, pp. 401-418, 1985. | MR | Zbl | DOI

[Su3] D. Sullivan, Quasiconformal homeomorphisms in dynamics, toplogy and geometry, proc. Int. Congr. Math., Berkeley, pp. 1216-1228, 1986. | MR | Zbl

[Su4] D. Sullivan, Bounds, quadratic differentials and renormalization conjectures, Math. in the 21st century : 1988 Centennial Symp., pp.417-466, 1992. | MR | Zbl

[ST] D. Sullivan & W.P. Thurston, Extending holomorphic motions, Acta Math., vol. 157, pp. 243-257, 1986. | MR | Zbl | DOI

[Sw] G. Światek, Rational rotation numbers for maps of the circle, Comm. Math. Phys, vol. 119, pp. 109-128, 1988. | MR | Zbl

[TL1] Tan L., Accouplements de polynômes complexes, Thèse de doctorat, Université de Paris-Sud, 1987.

[TL2] Tan L., Branched coverings and cubic Newton maps, Fund. Math., vol. 154, pp. 207-260, 1997. | MR | Zbl | DOI

[TLY] Tan L. & Y. Yongcheng, Local connectivity of the Julia set for geometrically finite rational maps, Science in China, vol. 39, pp. 39-47, 1996. | MR | Zbl

[Th] W.P. Thurston, The combinatorics of iterated rational maps, Princeton preprint, 1983.

[Wl] P. Willumsen, Holomorphic surgery on the Basilica, preprint.

[Wt] B. Wittner, On the bifurcation loci of rational maps of degree two, Ph.D. Thesis, Cornell University, 1986. | MR

[Yo] J.C. Yoccoz, Petits diviseurs en dimension 1, Astérisque No. 231, 1995. | Zbl | Numdam