S. Daniel and . Alexander, A history of complex dynamics, Aspects of Mathematics, E24. Friedr. Vieweg & Sohn, 1994.

M. Aspenberg, Perturbations of rational misiurewicz maps, 2008.

M. Aspenberg, Rational Misiurewicz Maps are Rare, Communications in Mathematical Physics, vol.163, issue.1, pp.645-658, 2009.
DOI : 10.1007/s00220-009-0813-5
URL : http://arxiv.org/abs/math/0701382

G. Bassanelli and F. Berteloot, Bifurcation currents in holomorphic dynamics on, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2007, issue.608, pp.201-235, 2007.
DOI : 10.1515/CRELLE.2007.058
URL : https://hal.archives-ouvertes.fr/hal-00631420

G. Bassanelli and F. Berteloot, Lyapunov exponents, bifurcation currents and laminations in bifurcation loci, Mathematische Annalen, vol.35, issue.1, pp.1-23, 2009.
DOI : 10.1007/s00208-008-0325-1
URL : https://hal.archives-ouvertes.fr/hal-00666017

G. Bassanelli and F. Berteloot, Abstract, Nagoya Mathematical Journal, vol.201, pp.23-43, 2011.
DOI : 10.1215/00277630-2010-016

E. Bedford and B. A. Taylor, The Dirichlet problem for a complex Monge-Ampere equation, Bulletin of the American Mathematical Society, vol.82, issue.1, pp.102-104, 1976.
DOI : 10.1090/S0002-9904-1976-13977-8

H. L. Br-]-lipman-bers and . Royden, Holomorphic families of injections, Acta Mathematica, vol.157, issue.0, pp.259-286, 1986.
DOI : 10.1007/BF02392595

[. Berteloot, Lyapunov exponent of a rational map and multipliers of repelling cycles, Riv. Math. Univ. Parma, vol.1, issue.2, pp.263-269, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00629266

[. Berteloot, C. Dupont, and L. Molino, Normalisation de contractions holomorphes fibr??es et applications en dynamique, Annales de l???institut Fourier, vol.58, issue.6, pp.2137-2168, 2008.
DOI : 10.5802/aif.2409

J. H. Branner and . Hubbard, The iteration of cubic polynomials Part I: The global topology of parameter space, Acta Mathematica, vol.160, issue.0, pp.3-4143, 1988.
DOI : 10.1007/BF02392275

F. Berteloot and V. Mayer, Rudiments de dynamique holomorphe, of Cours Spécialisés. Société Mathématique de France, 2001.

R. Bowen, Hausdorff dimension of quasi-circles, Publications math??matiques de l'IH??S, vol.34, issue.3, pp.11-25, 1979.
DOI : 10.1007/BF02684767

B. Branner, The Mandelbrot set, Chaos and fractals, pp.75-105, 1988.
DOI : 10.1090/psapm/039/1010237

J. Briend and J. Duval, Exposants de Liapounoff et distribution des points p??riodiques d'un endomorphisme de CPk, Acta Mathematica, vol.182, issue.2, pp.143-157, 1999.
DOI : 10.1007/BF02392572

H. Brolin, Invariant sets under iteration of rational functions, Arkiv f??r Matematik, vol.6, issue.2, pp.103-144, 1965.
DOI : 10.1007/BF02591353

X. Buff and A. L. Epstein, Bifurcation Measure and Postcritically Finite Rational Maps, Complex dynamics : families and friends, pp.491-512, 2009.
DOI : 10.1201/b10617-16
URL : https://hal.archives-ouvertes.fr/hal-00666023

S. Bullett and P. Sentenac, Ordered orbits of the shift, square roots, and the devil's staircase, Mathematical Proceedings of the Cambridge Philosophical Society, vol.62, issue.03, pp.451-481, 1994.
DOI : 10.1016/0378-4371(86)90015-4

[. Carleson, T. W. Gamelinc-]-e, and . Chirka, Complex dynamics Complex analytic sets, volume 46 of Mathematics and its Applications (Soviet Series), Universitext : Tracts in Mathematics, 1989.

]. Dem and . Demailly, Complex analytic and differential geometry, 2011.

[. Demarco, Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity, Mathematische Annalen, vol.326, issue.1, pp.43-73, 2003.
DOI : 10.1007/s00208-002-0404-7

S. Welington-de-melo and . Van-strien, One-dimensional dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas, 1993.

[. Dinh and N. Sibony, Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings, Holomorphic dynamical systems, pp.165-294, 1998.
DOI : 10.1007/978-3-642-13171-4_4

A. L. Douady, ensemble de Julia dépend-il continûment du polynôme ?, Aspects des systèmes dynamiques, pp.125-166, 2009.

R. Dujardin, Approximation des fonctions lisses sur certaines laminations, Indiana University Mathematics Journal, vol.55, issue.2, pp.579-592, 2006.
DOI : 10.1512/iumj.2006.55.2903
URL : http://arxiv.org/abs/math/0502229

R. Dujardin, Cubic Polynomials, Complex dynamics : families and friends, pp.451-490
DOI : 10.1201/b10617-15
URL : https://hal.archives-ouvertes.fr/hal-00836320

R. Dujardin and C. Favre, Distribution of rational maps with a preperiodic critical point, American Journal of Mathematics, vol.130, issue.4, pp.979-1032, 2008.
DOI : 10.1353/ajm.0.0009

A. Lawrence-epstein, Bounded hyperbolic components of quadratic rational maps. Ergodic Theory Dynam, Systems, vol.20, issue.3, pp.727-748, 2000.

A. Epstein, Transversality in holomorphic dynamics Fractal geometry, Mathematical foundations and applications, 1990.

R. Lisa, L. Goldberg, and . Keen, The mapping class group of a generic quadratic rational map and automorphisms of the 2-shift, Invent. Math, vol.101, issue.2, pp.335-372, 1990.

. H. Hw-]-g, E. M. Hardy, and . Wright, An introduction to the theory of numbers, 1979.

L. Hörmander, The analysis of linear partial differential operators. I, volume 256 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1983.

J. Hubbard, Teichmüller theory and applications to geometry, topology, and dynamics Teichmüller theory, With contributions by, Matrix Editions, vol.1, 2006.

J. Kiwi and M. Rees, Counting hyperbolic components, 2010. preprint arXiv : math.DS/1003, pp.6104-6105
DOI : 10.1112/jlms/jdt027
URL : http://arxiv.org/abs/1003.6104

[. Ledrappier, Quelques propriétés ergodiques des applications rationnelles, C. R. Acad. Sci. Paris Sér. I Math, vol.299, issue.1, pp.37-40, 1984.

]. M. Lj, . Ju, and . Ljubich, Entropy properties of rational endomorphisms of the Riemann sphere. Ergodic Theory Dynam, Systems, vol.3, issue.3, pp.351-385, 1983.

[. Mañé, On the uniqueness of the maximizing measure for rational maps, Boletim da Sociedade Brasileira de Matem??tica, vol.9, issue.1, pp.27-43, 1983.
DOI : 10.1007/BF02584743

P. [. Mañé, D. Sad, and . Sullivan, On the dynamics of rational maps, Annales scientifiques de l'??cole normale sup??rieure, vol.16, issue.2, pp.193-217, 1983.
DOI : 10.24033/asens.1446

P. Mattila, Geometry of sets and measures in Euclidean spaces, volume 44 of Cambridge Studies in Advanced Mathematics, Fractals and rectifiability, 1995.

C. T. Mcmullen, Complex dynamics and renormalization, Annals of Mathematics Studies, vol.135, 1994.

C. T. Mcmullen, Hausdorff dimension and conformal dynamics II: Geometrically finite rational maps, Commentarii Mathematici Helvetici, vol.75, issue.4, pp.535-593, 2000.
DOI : 10.1007/s000140050140

C. T. Mcmullen, The Mandelbrot set is universal In The Mandelbrot set, theme and variations, London Math. Soc. Lecture Note Ser, vol.274, pp.1-17, 2000.

J. Milnor, Geometry and Dynamics of Quadratic Rational Maps, Experimental Mathematics, vol.18, issue.1, pp.37-83, 1993.
DOI : 10.1080/10586458.1993.10504267

J. Milnor, Dynamics in one complex variable, Annals of Mathematics Studies, vol.160, 2006.
DOI : 10.1007/978-3-663-08092-3

J. Milnor, On Latt??s Maps, Dynamics on the Riemann sphere, pp.9-43, 2006.
DOI : 10.4171/011-1/1

Y. Okuyama, Lyapunov exponents in complex dynamics and potential theory, 2010. preprint arXiv math

C. Lunde-petersen, No elliptic limits for quadratic maps, Ergodic Theory and Dynamical Systems, vol.19, issue.1, pp.127-141, 1999.
DOI : 10.1017/S0143385799120996

[. Pham, Lyapunov exponents and bifurcation current for polynomial-like maps, 2005.

[. Przytycki, Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map, Inventiones Mathematicae, vol.2, issue.1, pp.161-179, 1985.
DOI : 10.1007/BF01388554

[. Przytycki, J. Rivera-letelier, and S. Smirnov, Equality of pressures for rational functions. Ergodic Theory Dynam, Systems, vol.24, issue.3, pp.891-914, 2004.

T. Ransford, Potential theory in the complex plane, 1995.
DOI : 10.1017/CBO9780511623776

J. Rivera-letelier, On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets, Fundamenta Mathematicae, vol.170, issue.3, pp.287-317, 2001.
DOI : 10.4064/fm170-3-6

W. Rudin, Function theory in the unit ball of C n , volume 241 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science, 1980.

[. Shishikura, The Hausdorff Dimension of the Boundary of the Mandelbrot Set and Julia Sets, The Annals of Mathematics, vol.147, issue.2, pp.225-267, 1998.
DOI : 10.2307/121009

. St-]-mitsuhiro, L. Shishikura, and . Tan, An alternative proof of Mañé's theorem on nonexpanding Julia sets In The Mandelbrot set, theme and variations, London Math. Soc. Lecture Note Ser, vol.274, pp.265-279, 2000.

[. Sibony, Dynamique des applications rationnelles de P k, Dynamique et géométrie complexes of Panor. Synthèses, pp.97-185, 1997.

J. H. Silverman, The arithmetic of dynamical systems, Graduate Texts in Mathematics, vol.241, 2007.
DOI : 10.1007/978-0-387-69904-2

N. Steinmetz, Rational iteration, volume 16 of de Gruyter Studies in Mathematics, 1993.

L. Tan, Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura's result), Nonlinearity, vol.11, issue.2, pp.233-246, 1998.

M. Urba?ski, Rational functions with no recurrent critical points. Ergodic Theory Dynam, Systems, vol.14, issue.2, pp.391-414, 1994.

. Sebastian-van-strien, Misiurewicz maps unfold generically (even if they are critically non-finite), Fund. Math, vol.163, issue.1, pp.39-54, 2000.

M. Zinsmeister and . Fleur-de-leau-fatou-et-dimension-de-hausdorff, Fleur de Leau-Fatou et dimension de Hausdorff, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.326, issue.10, pp.1227-1232, 1998.
DOI : 10.1016/S0764-4442(98)80233-4