[1] Arnold, V. Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Editions MIR Moscou - Editions du Globe Paris, 1996 | MR | Zbl

[2] Bargmann, D. Simple proofs of some fundamental properties of the Julia set, Ergodic Theory Dynam. Systems, Volume 19 (1999) no. 3, pp. 553-558 | MR | Zbl

[3] Bedford, E.; Pinchuk, S. Domains in ${\mathbf{C}}^2$ with non-compact automorphism group, Math. USSR Sbornik, Volume 63 (1989), pp. 141-151 | MR | Zbl

[4] Bedford, E.; Pinchuk, S. Convex domains with non-compact automorphism group, J. Geometric Anal., Volume 1 (1991), pp. 165-191 | MR | Zbl

[5] Bell, S. The Bergman kernel function and proper holomorphic mappings, Trans. Amer. Math. Soc., Volume 270 (1982) no. 2, pp. 685-691 | MR | Zbl

[6] Bell, S.; Ligocka, E. A simplification and extension of Fefferman’s theorem on biholomorphic mappings, Invent. Math., Volume 57 (1980) no. 3, pp. 283-289 | MR | Zbl

[7] Bergweiler, W. Rescaling principles in function theory, Analysis and its applications, Allied Publ., New Delhi (2001), pp. 11-29 (Chennai, 2000) | MR | Zbl

[8] Berteloot, F. Attraction de disques analytiques et continuité Höldérienne d’applications holomorphes propres, Topics in Compl.Anal., Banach Center Publ. (1995), pp. 91-98 | MR | Zbl

[9] Berteloot, F. Characterization of models in ${\mathbf{C}}^2$ by their automorphism group, Int. J. Math., Volume 5 (1994) no. 5, pp. 619-634 | MR | Zbl

[10] Berteloot, F. Principe de Bloch et estimations de la métrique de Kobayashi des domaines de ${\mathbf{C}}^2$, J. Geom. Anal., Volume 13 (2003) no. 1, pp. 29-37 | MR | Zbl

[11] Berteloot, F.; Cœuré, G. Domaines de ${\mathbf{C}}^2$, pseudoconvexes et de type fini ayant un groupe non-compact d’automorphismes, Ann. Inst. Fourier Grenoble, Volume 41 (1991) no. 1, pp. 77-86 | EuDML | Numdam | Zbl

[12] Berteloot, F.; Dupont, C. Une caractérisation des exemples de Lattès par leur mesure de Green Comment. Math. Helv. (à paraître) | Zbl

[13] Berteloot, F.; Duval, J. Une démonstration directe de la densité des cycles répulsifs dans l’ensemble de Julia, Complex analysis and geometry, Volume 188, Progr. Math., Basel, 2000, pp. 221-222 (Paris, 1997) | Zbl

[14] Berteloot, F.; Duval, J. Sur l’hyperbolicité de certains complémentaires, L’Enseignement Mathématique, Volume 47 (2001), pp. 253-267 | MR | Zbl

[15] Berteloot, F.; Loeb, J. J. Une caractérisation géométrique des exemples de Lattès de ${\mathbf{P}}^k$, Bull. Soc. Math. Fr., Volume 129 (2001) no. 2, pp. 175-188 | EuDML | Numdam | MR | Zbl

[16] Berteloot, F.; Mayer, V. Rudiments de dynamique holomorphe (Cours Spécialisés), Volume 7, Société Mathématique de France, EDP Sciences, Les Ulis, 2001 | MR | Zbl

[17] Briend, J.-Y.; Duval, J. Exposants de Liapounoff et distribution des points périodiques d’un endomorphisme de ${\mathbf{P}}^k$, Acta Math., Volume 182 (1999) no. 2, pp. 143-157 | MR | Zbl

[18] Briend, J.-Y.; Duval, J. Deux caractérisations de la mesure d’équilibre d’un endomorphisme de ${\mathbf{P}}^k$, Publ. Math. Inst. Hautes Études Sci., Volume 93 (2001), pp. 145-159 | EuDML | Numdam | MR | Zbl

[19] Brody, R. Compact manifolds and hyperbolicity, Trans. Amer. Math. Soc., Volume 235 (1978), pp. 213-219 | MR | Zbl

[20] Byun, J.; Gaussier, H.; Kim, K.-T. Weak-type normal families of holomorphic mappings in Banach spaces and characterization of the Hilbert ball by its automorphism group, J. Geom. Anal., Volume 12 (2002) no. 4, pp. 581-599 | MR | Zbl

[21] Catlin, D. Estimates of Invariant metrics on pseudoconvex domains of dimension two, Math. Z., Volume 200 (1989), pp. 429-466 | EuDML | MR | Zbl

[22] Christ, M. $C^{\infty }$ irregularity of the $\overline{\partial }$-Neumann problem for worm domains, J. Amer. Math. Soc., Volume 9 (1996) no. 4, pp. 1171-1185 | MR | Zbl

[23] Coupet, B. Precise regularity up to the boundary of proper holomorphic mappings, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Volume (4) 20 (1993) no. 3, pp. 461-482 | EuDML | Numdam | MR | Zbl

[24] Coupet, B.; Gaussier, H.; Sukhov, A. Regularity of CR maps between convex hypersurfaces of finite type, Proc. Amer. Math. Soc., Volume 127 (1999) no. 11, pp. 3191-3200 | MR | Zbl

[25] Coupet, B.; Pinchuk, S.; Sukhov, A. On boundary rigidity and regularity of holomorphic mappings, Int. J. Math., Volume 7 (1996) no. 5, pp. 617-643 | MR | Zbl

[26] Coupet, B.; Sukhov, A. On CR mappings between pseudoconvex hypersurfaces of finite type in ${\mathbf{C}}^2$, Duke Math. J. Vol., Volume 88 (1997) no. 2, pp. 281-304 | MR | Zbl

[27] Demailly, J.-P. Variétés hyperboliques et équations différentielles algébriques, Gaz. Math., Volume 73 (1997), pp. 3-23 | MR | Zbl

[28] Demailly, J.-P.; ElGoul, J. Hyperbolicity of generic surfaces of high degree in projective 3-space, Amer. J. Math., Volume 122 (2000) no. 3, pp. 515-546 | MR | Zbl

[29] Dethloff, G.; Schumacher, G.; Wong, P. M. On the hyperbolicity of the complements of curves in algebraic surfaces, Duke Math. J., Volume 78 (1995), pp. 193-212 | MR | Zbl

[30] Diederich, K.; Fornaess, J. E. Proper holomorphic maps onto pseudoconvex domains with real analytic boundary, Ann. Math., Volume 110 (1979), pp. 575-592 | MR | Zbl

[31] Diederich, K.; Pinchuk, S. Proper holomorphic maps in dimension 2 extend, Indiana. Math. J., Volume 44 (1995), pp. 1089-1126 | MR | Zbl

[32] Dinh, T. C.; Sibony, N. Dynamique des applications d’allure polynomiale, J. Math. Pures Appl. (9), Volume 82 (2003) no. 4, pp. 367-423 | MR | Zbl

[33] Dixon, P. G.; Esterle, J. Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon, Bull. Amer. Math. Soc. (N.S.), Volume 15 (1986) no. 2, pp. 127-187 | MR | Zbl

[34] Efimov, A. M. A generalization of the Wong-Rosay theorem for the unbounded case, Sb. Math., Volume 186 (1995) no. 7, pp. 967-976 | MR | Zbl

[35] Eremenko, A. A Picard type theorem for holomorphic curves, Period. Math. Hungar., Volume 38 (1999) no. 1-2, pp. 39-42 | MR | Zbl

[36] Fefferman, C. The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math., Volume 26 (1974), pp. 1-65 | EuDML | MR | Zbl

[37] Fornaess, J. E.; Sibony, N. Construction of P.S.H. functions on weakly pseudoconvex domains, Duke Math. J., Volume 58 (1989), pp. 633-656 | MR | Zbl

[38] Fornaess, J. E.; Sibony, N. Complex Dynamics in higher dimensions, Complex potential theory (Montréal, PQ, 1993) (NATO ASI series Math. and Phys. Sci.), Volume 439, Kluwer Acad. Publ. (1994), pp. 131-186 | MR | Zbl

[39] Fornaess, J. E.; Sibony, N. Complex Dynamics in higher dimensions II, Ann. of Math. Studies, Volume 137 (1995) (Princeton Univ. Press, Princeton, NJ) | MR | Zbl

[40] Forstneric, F. An elementary proof of Fefferman’s theorem, Exposition. Math., Volume 10 (1992) no. 2, pp. 135-149 | MR | Zbl

[41] Forstneric, F.; Rosay, J.-P. Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings, Math. Ann., Volume 110 (1987), pp. 239-252 | EuDML | MR | Zbl

[42] Françoise, J.-P. Géométrie analytique et systèmes dynamiques, Presses Universitaires de France, Paris, 1995 (Cours de troisième cycle) | MR

[43] Frankel, S. Complex geometry of convex domains that cover varieties, Acta Math., Volume 163 (1989) no. 1-2, pp. 109-149 | MR | Zbl

[44] Gaussier, H. Characterization of models for convex domains (preprint) | MR

[45] Graham, I. Boundary behavior of the Carathéodory and Kobayashi metrics on strongly pseudoconvex domains in $C^n$ with smooth boundary, Trans. Amer. Math. Soc., Volume 207 (1975), pp. 219-240 | MR | Zbl

[46] Gromov, M. Foliated plateau problem, part II : harmonic maps of foliations, GAFA, Volume 1 (1991) no. 3, pp. 253-320 | EuDML | MR | Zbl

[47] Henkin, G. An analytic polyhedron is not biholomorphic to a strictly pseudoconvex domain, Dokl. Akad. Nauk SSSR, Volume 210 (1973), pp. 1026-1029 | MR | Zbl

[48] Isaev, A.; Krantz, S. Domains with non-compact automorphism group : a survey, Adv. Math., Volume 146 (1999) no. 1, pp. 1-38 | MR | Zbl

[49] Jonsson, M.; Varolin, D. Stable manifolds of holomorphic diffeomorphisms, Invent. Math., Volume 149 (2002) no. 2, pp. 409-430 | MR | Zbl

[50] Kim, K.-T.; Krantz, S. Some new results on domains in complex space with non-compact automorphism group, J. Math. Anal. Appl., Volume 281 (2003) no. 2, pp. 417-424 | MR | Zbl

[51] Kobayashi, G. Hyperbolic complex spaces, Grundlehren der Mathematischen Wissenschaften, 318, Springer-Verlag, Berlin, 1998 | MR | Zbl

[52] Landau, E. Uber di Blochste Konstante und zwei verwandte Weltkonstanten, Math. Z., Volume 30 (1929), pp. 608-634 | EuDML | JFM | MR

[53] Lang, S. Introduction to complex hyperbolic manifolds, Springer Verlag, 1987 | MR | Zbl

[54] Ligocka, E. Some remarks on extension of biholomorphic mappings, Analytic functions (Lecture Notes in Math.), Springer, Berlin, Proc. Seventh Conf., Kozubnik, 1979 (1980), pp. 350-363 | MR | Zbl

[55] Lohwater, A. J.; Pommerenke, Ch. On normal meromorphic functions, Ann. Acad. Sci. Fenn. Ser. A I (1973) no. 550 | MR | Zbl

[56] Pinchuk, S. On proper holomorphic mappings of strictly pseudoconvex domains, Sib. Math. J., Volume 15 (1974), pp. 909-917 | Zbl

[57] Pinchuk, S. The scaling method ans holomorphic mappings, Proc. Sympos. Pure Math., Volume 52 (1991) no. 1, pp. 151-161 | Zbl

[58] Pinchuk, S.; Khasanov, S. Asymptotically holomorphic functions and their applications, Math. USSR-Sb., Volume 62 (1989) no. 2, pp. 541-550 | MR | Zbl

[59] Range, R. Holomorphic functions and integral representations in several complex variables, Graduate Texts in Mathematics, 108, Springer-Verlag, New York, 1986 | MR | Zbl

[60] Ros, A. The Gauss map of minimal surfaces, Differential Geometry-Valencia (2001), pp. 235-250 | MR | Zbl

[61] Rosay, J.-P. Sur une caractérisation de la boule parmi les domaines de $C^n$ par son groupe d’automorphismes, Ann. Inst. Fourier, Volume 29 (1979) no. 4, pp. 91-97 | EuDML | Numdam | MR | Zbl

[62] Rosay, J.-P.; Rudin, W. Holomorphic maps from $C^n$ to $C^n$, Trans. Amer. Math. Soc., Volume 310 (1988) no. 1, pp. 47-86 | MR | Zbl

[63] Ruelle, D. Elements of differentiable dynamics and bifurcation theory, Academic Press, Inc., Boston, MA, 1989 | MR | Zbl

[64] Schwick, W. Repelling periodic points in the Julia set, Bull. London Math. Soc., Volume 29 (1997) no. 3, pp. 314-316 | MR | Zbl

[65] Sibony, N. A class of hyperbolic manifolds, Ann. Math. Studies (1981) no. 100, pp. 357-372 | MR | Zbl

[66] Sibony, N. Dynamique des applications rationnelles de ${\mathbf{P}}^k$, Panor. Synthèses, Soc. Math. France, Paris, Dynamique et géométrie complexes (Lyon, 1997) (1999), pp. 97-185 | MR | Zbl

[67] Siu, Y. T.; Yeung, S. K. Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane, Invent. Math., Volume 124 (1996) no. 1-3, pp. 573-618 | MR | Zbl

[68] Stensones, B. A proof of the Michael conjecture (1998) (Preprint)

[69] Stensones, B. Fatou-Bieberbach domains with $C^{\infty }$-smooth boundary, Ann. of Math. (2), Volume 145 (1997) no. 2, pp. 365-377 | MR | Zbl

[70] Sternberg, S. Local contractions and a theorem of Poincaré, Amer. J. Math., Volume 79 (1957), pp. 809-824 | MR | Zbl

[71] Sukhov, A. On boundary regularity of holomorphic mappings, Mat. Sb., Volume 185 (1994), pp. 131-142 | MR | Zbl

[72] Webster, S. On the reflection principle in several complex variables, Proc. Amer. Math. Soc., Volume 71 (1978) no. 1, pp. 26-28 | MR | Zbl

[73] Wong, B. Characterization of the unit ball in $C^n$ by its automorphism group, Invent. Math., Volume 41 (1977) no. 3, pp. 253-257 | EuDML | MR | Zbl

[74] Zalcman, L. Normal families : new perspectives, Bull. Amer. Math. Soc., Volume 35 (1998), pp. 215-230 | MR | Zbl

[75] Zalcman, L. A heuristic principle in complex function theory, Amer. Math. Monthly, Volume 82 (1975) no. 8, pp. 813-817 | MR | Zbl