T. T. , H. An, W. Cherry, and J. Wang, Algebraic degeneracy of non-Archimedean analytic maps, Indag. Math. (N.S.), vol.19, issue.3, pp.481-492, 2008.
DOI : 10.1016/s0019-3577(08)80014-6
URL : https://doi.org/10.1016/s0019-3577(08)80014-6

G. Vladimir and . Berkovich, Spectral theory and analytic geometry over nonarchimedean fields, Étale cohomology for non-Archimedean analytic spaces, 1990.

F. Berteloot, M??thodes de changement d?????chelles en analyse complexe, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.15, issue.3, pp.427-483, 2006.
DOI : 10.5802/afst.1127
URL : http://afst.cedram.org/cedram-bin/article/AFST_2006_6_15_3_427_0.pdf

S. Bosch, U. Güntzer, and R. Remmert, Nonarchimedean analysis, Grundlehren der Mathematischen Wissenschaften, vol.261, 1984.

S. Bosch, E. Bemerkenswerte-eigenschaft-der-formellen-fasern-affinoider-räume, . Math, and . Ann, Potential theory and dynamics on the Berkovich projective line, Mathematical Surveys and Monographs, vol.159, issue.1, pp.229-254, 1977.

R. Brody, Compact manifolds and hyperbolicity, Trans. Amer. Math. Soc, vol.23557, pp.213-219, 1978.
DOI : 10.2307/1998216

W. Cherry, Hyperbolic p-adic analytic spaces, Thesis, Non-Archimedean analytic curves in abelian varieties, 1993.

A. Chambert-loir, Heights and measures on analytic spaces. A survey of recent results, and some remarks, Motivic integration and its interactions with model theory and non-Archimedean geometry, Soc. Lecture Note Ser, vol.384, pp.1-50, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00455574

A. Chambert-loir and A. Ducros, Formes différentielles réelles et courants sur les espaces de Berkovich, preprint, Min Ru, Rigid analytic Picard theorems, pp.873-889, 2004.

A. Cohen, M. Temkin, and D. Trushin, Morphisms of Berkovich curves and the different function, Advances in Mathematics, vol.303, pp.800-858, 2016.
DOI : 10.1016/j.aim.2016.08.029

S. Diverio and E. Rousseau, A survey on hyperbolicity of projective hypersurfaces, Publicações Matemáticas do IMPA. [IMPA Mathematical Publications], Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2011, [On the title page: A survey on hiperbolicity of projective hypersurfaces]. MR 2933164

A. Ducros, Espaces de Berkovich, polytopes, squelettes et théorie des modèles, MR 3020334 [Duc14] , La structure des courbes analytiques, preprint, 2012.

A. Escassut and N. M. Netti, Shilov boundary for normed algebras , Topics in analysis and its applications, NATO Sci. Ser. II Math. Phys. Chem, vol.147, pp.1-10, 2004.

C. Favre, J. Kiwi, and E. Trucco, Abstract, Compositio Mathematica, vol.148, issue.03, pp.966-990, 2012.
DOI : 10.1090/surv/159

C. Favre and J. Rivera-letelier, Equidistribution quantitative des points de petite hauteur sur la droite projective, Théorie ergodique des fractions rationnelles sur un corps ultramétrique Proc. Lond, pp.271-276, 2004.
DOI : 10.1007/s00208-006-0751-x
URL : http://arxiv.org/pdf/math/0407471

J. E. , F. , and N. Sibony, Complex dynamics in higher dimension. II, Modern methods in complex analysis, Ann. of Math. Stud, vol.137, pp.135-182, 1992.

J. E. , F. Ss, and N. Sibony, Classification of recurrent domains for some holomorphic maps, Math. Ann, vol.301, issue.4, pp.813-820, 1995.

J. Fresnel, M. Van, and . Put, Rigid analytic geometry and its applications Diophantine approximation constants for varieties over function fields, preprint, 2015. [Hsi00] Liang-Chung Hsia, Closure of periodic points over a non-Archimedean field, Progress in Mathematics J. London Math. Soc, vol.218, issue.62, pp.685-700, 2000.
DOI : 10.1007/978-1-4612-0041-3

M. Jonsson, Dynamics on Berkovich Spaces in Low Dimensions, Lecture Notes in Math, vol.2119, pp.205-366, 2015.
DOI : 10.1007/978-3-319-11029-5_6

R. Kiehl, Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inventiones Mathematicae, vol.2, issue.4, pp.256-273, 1967.
DOI : 10.1007/BF01425404

P. Kiernan, Hyperbolically imbedded spaces and the big Picard theorem, Mathematische Annalen, vol.23, issue.3, pp.203-209, 1973.
DOI : 10.1007/BF01351589

S. Kobayashi and P. Kiernan, Holomorphic mappings into projective space with lacunary hyperplanes, Nagoya Math, J, vol.50, pp.199-216, 1973.

S. Kobayashi and T. Ochiai, Meromorphic mappings onto compact complex spaces of general type, Inventiones Mathematicae, vol.212, issue.1, pp.31-38, 1975.
DOI : 10.1007/BF01389863

S. Kobayashi, [. Kawaguchi, and J. H. Silverman, Invariant distances on complex manifolds and holomorphic mappings, #736) [Kob98] , Hyperbolic complex spaces, Grundlehren der Mathematischen Wissenschaften Proc. Lond) [KS09] , Non-archimedean Green functions and dynamics on projective space, pp.460-480, 1967.
DOI : 10.2969/jmsj/01940460

S. Lang, Higher dimensional diophantine problems, MR 0360464 [Lan87] , Introduction to complex hyperbolic spaces, pp.779-787, 1974.
DOI : 10.1090/S0002-9904-1974-13516-0
URL : http://www.ams.org/bull/1974-80-05/S0002-9904-1974-13516-0/S0002-9904-1974-13516-0.pdf

K. Maegawa, Fatou sets for rational maps of P k , Michigan Math, J, vol.52, issue.1, pp.3-11, 2004.

P. Montel, Sur les suites infinies de fonctions, Annales scientifiques de l'??cole normale sup??rieure, vol.24, issue.3, pp.233-334, 1907.
DOI : 10.24033/asens.580

J. Noguchi, MEROMORPHIC MAPPINGS INTO COMPACT HYPERBOLIC COMPLEX SPACES AND GEOMETRIC DIOPHANTINE PROBLEMS, International Journal of Mathematics, vol.03, issue.02, pp.277-289, 1992.
DOI : 10.1142/S0129167X92000084

Y. Okuyama, Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics, Acta Arith, pp.267-277, 2012.
DOI : 10.4064/aa152-3-3
URL : http://arxiv.org/abs/1106.3363

C. Petsche, Nonarchimedean equidistribution on elliptic curves with global applications, Pacific Journal of Mathematics, vol.1, issue.2, pp.345-375, 2009.
DOI : 10.1007/978-1-4612-0851-8
URL : http://msp.org/pjm/2009/242-2/pjm-v242-n2-p08-s.pdf

J. Poineau, Abstract, Forum of Mathematics, Sigma, vol.261, pp.14-21, 2014.
DOI : 10.1007/BF02712916

M. Van and D. Put, The class group of a one-dimensional affinoid space, Annales de l'institut Fourier, pp.155-164, 1980.

L. Halsey and . Royden, Remarks on the Kobayashi metric, Several complex variables, II (Proc. Internat. Conf, pp.125-137, 1970.

P. Samuel, Tata Institute of Fundamental Research, Panor. Synthèses, pp.97-185, 1966.

J. H. Silverman, The arithmetic of dynamical systems, MR 2316407 [Ste57] Shlomo Sternberg, Local contractions and a theorem of Poincaré, pp.79-809, 1957.
DOI : 10.1007/978-0-387-69904-2

M. Temkin, 14037) [Tem04] , On local properties of non-Archimedean analytic spaces, ) [Tem15] , Introduction to Berkovich analytic spaces, Berkovich spaces and applications, pp.318-585, 2000.

A. Thuillier, Potential theory on curves in non-Archimedean geometry . Applications to Arakelov theory, 2005.
URL : https://hal.archives-ouvertes.fr/tel-00010990

R. Tsushima, Rational maps to varieties of hyperbolic type, Proceedings of the Japan Academy, Series A, Mathematical Sciences, vol.55, issue.3, pp.95-100, 1979.
DOI : 10.3792/pjaa.55.95

T. Ueda, Fatou sets in complex dynamics on projective spaces, Journal of the Mathematical Society of Japan, vol.46, issue.3, pp.545-555, 1994.
DOI : 10.2969/jmsj/04630545

C. Voisin, On some problems of Kobayashi and Lang; algebraic approaches, Current developments in mathematics, pp.53-125, 2003.

H. Wu, Normal families of holomorphic mappings MR 0224869 [Zal75] Lawrence Zalcman, A heuristic principle in complex function theory, Acta Math. Amer. Math. Monthly, vol.119, issue.82 8, pp.193-233, 1967.