Finitely Generated Kleinian Groups, American Journal of Mathematics, vol.86, issue.2, pp.413-429, 1964. ,
DOI : 10.2307/2373173
Discretization of harmonic measures for foliated bundles, Comptes Rendus Mathematique, vol.350, issue.11-12, pp.11-12, 2012. ,
DOI : 10.1016/j.crma.2012.06.010
Van de Ven, A. Compact complex surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1984. ,
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
The geometry of discrete groups, Graduate Texts in Mathematics, vol.91, 1983. ,
DOI : 10.1007/978-1-4612-1146-4
The dirichlet problem for a complex Monge-Amp???re equation, Inventiones Mathematicae, vol.18, issue.No. 1, pp.1-44, 1976. ,
DOI : 10.1007/BF01418826
The ????-equation on a positive current, Inventiones Mathematicae, vol.147, issue.2, pp.371-428, 2002. ,
DOI : 10.1007/s002220100178
Sur le comportement statistique des feuilles de certains feuilletages holomorphes. Monographie de l'Enseignement Mathématique, pp.15-41, 2001. ,
The classification of Kleinian surface groups, II: The Ending Lamination Conjecture, Annals of Mathematics, vol.176, issue.3, pp.1-149, 2012. ,
DOI : 10.4007/annals.2012.176.1.1
Simultaneous uniformization, Bulletin of the American Mathematical Society, vol.66, issue.2, pp.94-97, 1960. ,
DOI : 10.1090/S0002-9904-1960-10413-2
Projective structures with degenerate holonomy and the Bers density conjecture, Annals of Mathematics, vol.166, issue.1, pp.77-93, 2007. ,
DOI : 10.4007/annals.2007.166.77
URL : http://arxiv.org/abs/math/0211402
Birational geometry of foliations, Publ. Mat. do IMPA, 2004. ,
DOI : 10.1007/978-3-319-14310-1
The harmonic measures of Lucy Garnett, Advances in Mathematics, vol.176, issue.2, pp.187-247, 2003. ,
DOI : 10.1016/S0001-8708(02)00036-1
Brownian Motion and Nevanlinna Theory, Proc. London Math. Soc. (3), pp.349-368, 1986. ,
DOI : 10.1112/plms/s3-52.2.349
URL : http://plms.oxfordjournals.org/cgi/content/short/s3-52/2/349
Complex analytic sets Mathematics and its Applications (Soviet Series), 46, 1989. ,
Singular sets of holonomy maps for algebraic foliations, Journal of the European Mathematical Society, vol.15, issue.3, pp.1067-1099, 2013. ,
DOI : 10.4171/JEMS/386
Heat kernels and spectral theory, Cambridge Tracts in Mathematics, vol.92, 1989. ,
DOI : 10.1017/CBO9780511566158
Extension of plurisubharmonic currents, Mathematische Zeitschrift, vol.245, issue.3, pp.455-481, 2003. ,
DOI : 10.1007/s00209-003-0538-7
Uniformisation des surfaces de Riemann : retour sur un théorème centenaire, 2010. ,
Hypersurfaces Levi-plates immerg??es dans les surfaces complexes de courbure positive???, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.38, issue.1, pp.57-75, 2005. ,
DOI : 10.1016/j.ansens.2004.10.004
Random walks, Kleinian groups, and bifurcation currents, Inventiones mathematicae, vol.155, issue.3???4, pp.57-118, 2012. ,
DOI : 10.1007/s00222-012-0376-5
URL : https://hal.archives-ouvertes.fr/hal-00836303
Lyapunov Exponents for Surface Group Representations, Communications in Mathematical Physics, vol.155, issue.3-4 ,
DOI : 10.1007/s00220-015-2469-7
URL : https://hal.archives-ouvertes.fr/hal-01068574
Topology and dynamics of Levi-flats in surfaces of general type ,
URL : https://hal.archives-ouvertes.fr/hal-01346564
Random Conformal Dynamical Systems, Geometric and Functional Analysis, vol.17, issue.4, pp.1043-1105, 2007. ,
DOI : 10.1007/s00039-007-0606-y
URL : https://hal.archives-ouvertes.fr/hal-00463764
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
Bifurcation currents and equidistribution in parameter space Preprint (2011), to appear in Frontiers in complex dynamics (celebrating John Milnor's 80th birthday) ,
Complex projective structures In Handbook of Teichmüller Theory, Volume II, Athanase Papadopoulos. EMS, 2009. ,
Complex Hénon mappings in C 2 and Fatou-Bieberbach domains . Duke Math, J, vol.65, pp.345-380, 1992. ,
Harmonic analysis of surface group representations in Diff(S 1 ) and Milnor type inequalities. Prépub. 1125 de l' ´ Ecole Polytechnique, 1996. ,
Harry Boundary theory and stochastic processes on homogeneous spaces Harmonic analysis on homogeneous spaces, Proc. Sympos, pp.193-229, 1972. ,
DOI : 10.1090/pspum/026/0352328
The Monodromy Groups of Schwarzian Equations on Closed Riemann Surfaces, The Annals of Mathematics, vol.151, issue.2, pp.625-704, 2000. ,
DOI : 10.2307/121044
Foliations, the ergodic theorem and Brownian motion, Laminations par surfaces de Riemann. Dynamique et géométrie complexes ix, xi, pp.285-311, 1983. ,
DOI : 10.1016/0022-1236(83)90015-0
Projective structures with Fuchsian holonomy, Journal of Differential Geometry, vol.25, issue.3, pp.297-326, 1987. ,
DOI : 10.4310/jdg/1214440978
Special coordinate coverings of Riemann surfaces, Mathematische Annalen, vol.11, issue.1, pp.67-86, 1967. ,
DOI : 10.1007/BF01362287
Monodromy groups and linearly polymorphic functions, Acta Mathematica, vol.135, issue.0, pp.1-55, 1975. ,
DOI : 10.1007/BF02392015
On Schottky and Koebe-like uniformizations. Duke Math, J, vol.55, pp.267-286, 1987. ,
Analytic continuation of holonomy germs of Riccati foliations along brownian paths, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00855708
Schottky groups and Bers boundary of Teichmüller space, Osaka J. Math, vol.40, issue.3, pp.639-657, 2003. ,
Hausdorff dimension of harmonic measures in the plane, Acta Mathematica, vol.161, issue.0, pp.131-144, 1988. ,
DOI : 10.1007/BF02392296
Hyperbolic manifolds and discrete groups, Progress in Mathematics, vol.183, 2001. ,
DOI : 10.1007/978-0-8176-4913-5
Deformations of Fuchsian groups. Duke Math, J, vol.36, pp.1969-537 ,
Deformations of Fuchsian groups. II. Duke Math, J, vol.38, pp.499-508, 1971. ,
Remarks on projective structures Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference, Ann. of Math. Stud, vol.97, pp.343-359, 1981. ,
Modèles et laminations terminales (d'après Minsky et Brock-Canary-Minsky) ,
Quelques propriétés des exposants caractéristiques. ´ Ecole d'´ eté de probabilités de Saint-Flour, XII?, Lecture Notes in Math, pp.305-396, 1097. ,
François Une relation entre entropie, dimension et exposant pour certaines marches aléatoires, C. R. Acad. Sci. Paris Sér. I Math, vol.296, issue.8, pp.369-372, 1983. ,
Projective structures and projective bundles over compact Riemann surfaces, pp.223-252, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00157037
On the Distortion of Boundary Sets Under Conformal Mappings, Proc. London Math. Soc. (3), pp.369-384, 1985. ,
DOI : 10.1112/plms/s3-51.2.369
The Dimension of the Maximal Measure for a Polynomial Map, The Annals of Mathematics, vol.119, issue.2, pp.425-430, 1984. ,
DOI : 10.2307/2007044
On some aspects of the theory of Anosov systems. With a survey by Richard Sharp, 2004. ,
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1, Inventiones Mathematicae, vol.109, issue.1, pp.93-120, 1984. ,
DOI : 10.1007/BF01388494
The interior of discrete projective structures in the Bers fiber, Ann. Acad. Sci. Fenn. Math, vol.32, pp.3-12, 2007. ,
Renormalization and 3-manifolds which fiber over the circle, Annals of Mathematics Studies, vol.142, 1996. ,
DOI : 10.1515/9781400865178
The Classification of Punctured-Torus Groups, The Annals of Mathematics, vol.149, issue.2, pp.559-626, 1999. ,
DOI : 10.2307/120976
Non-realizability and ending laminations: Proof of the density conjecture, Acta Mathematica, vol.209, issue.2, pp.323-395, 2012. ,
DOI : 10.1007/s11511-012-0088-0
Analytic functions. Grundlehren der Mathematischen Wissenschaften, 1970. ,
Realising end invariants by limits of minimally parabolic, geometrically finite groups, Geometry & Topology, vol.15, issue.2, pp.827-890, 2011. ,
DOI : 10.2140/gt.2011.15.827
Sur le bord du prolongement de Bers de l'espace de Teichmüller, C. R. Acad. Sci. Paris Sér. I Math, pp.316-157, 1993. ,
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
Harmonic, Gibbs and Hausdorff Measures on Repellers for Holomorphic Maps, I, The Annals of Mathematics, vol.130, issue.1, pp.1-40, 1989. ,
DOI : 10.2307/1971475
On analytic and geometric properties of Teichm??ller spaces, Journal of Mathematics of Kyoto University, vol.24, issue.3, pp.441-452, 1984. ,
DOI : 10.1215/kjm/1250521274
Projective structures with discrete holonomy representations, Transactions of the American Mathematical Society, vol.351, issue.02, pp.813-823, 1999. ,
DOI : 10.1090/S0002-9947-99-02043-7
Un théorème sur les continus, Tohoku Math. J, vol.13, pp.300-305, 1918. ,
Polynomial convexity, Progress in Mathematics, vol.261, 2007. ,
Prescribing curvature on compact surfaces with conical singularities, Transactions of the American Mathematical Society, vol.324, issue.2, pp.793-821, 1991. ,
DOI : 10.1090/S0002-9947-1991-1005085-9
Flat Surfaces, American Journal of Mathematics, vol.115, issue.3, pp.589-689, 1993. ,
DOI : 10.2307/2375075
91405 Orsay cedex, France. E-mail address: bertrand.deroin@math.u-psud.fr LAMA ,