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.

G. Vladimir and . Berkovich, Spectral theory and analytic geometry over non- Archimedean fields, volume 33 of Mathematical Surveys and Monographs, 1990.

G. Vladimir and . Berkovich, Étale cohomology for non-Archimedean analytic spaces, Inst. Hautes Études Sci. Publ. Math, issue.78, pp.5-161, 1993.

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, Eine bemerkenswerte Eigenschaft der formellen Fasern affinoider Räume Potential theory and dynamics on the Berkovich projective line, Math. Ann. Mathematical Surveys and Monographs, vol.229, issue.159, pp.25-45, 1977.
DOI : 10.1007/bf01420535

R. Brody, Compact manifolds and hyperbolicity, Trans. Amer. Math. Soc, vol.235, pp.213-219, 1978.
DOI : 10.2307/1998216

W. Cherry, Hyperbolic p-adic analytic spaces. Thesis, 1993.

W. Cherry, Non-Archimedean analytic curves in Abelian varieties, Mathematische Annalen, vol.12, issue.1, pp.393-404, 1994.
DOI : 10.1007/BF01450493

W. Cherry, A non-archimedean analogue of the kobayashi semi-distance and its non-degeneracy on abelian varieties, Illinois Journal of Mathematics, vol.40, issue.1, pp.123-140, 1996.

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), 2011.

A. Ducros, La structure des courbes analytiques. preprint, 2014.

C. Favre, J. Kiwi, and E. Trucco, Abstract, Gri15] Nathan Grieve. Diophantine approximation constants for varieties over function fields. preprint, pp.966-990, 2012.
DOI : 10.1090/surv/159

S. Kobayashi and T. Ochiai, Meromorphic mappings onto compact complex spaces of general type, Inventiones Mathematicae, vol.212, issue.1, pp.7-16, 1975.
DOI : 10.1007/BF01389863

S. Kobayashi, Invariant distances on complex manifolds and holomorphic mappings, Journal of the Mathematical Society of Japan, vol.19, issue.4, pp.460-480, 1967.
DOI : 10.2969/jmsj/01940460

S. Kobayashi, Hyperbolic complex spaces, volume 318 of Grundlehren der Mathematischen Wissenschaften, 1998.

S. Lang, Introduction to Complex Hyperbolic Spaces, 1987.
DOI : 10.1007/978-1-4757-1945-1

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

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, Les espaces de Berkovich sont ang??liques, Bulletin de la Société mathématique de France, vol.141, issue.2, pp.267-297, 2013.
DOI : 10.24033/bsmf.2648

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

L. Halsey and . Royden, Remarks on the Kobayashi metric, Several complex variables , II (Proc. Internat. Conf.RV16] Rita Rodríguez Vázquez. Non-Archimedean normal families. preprint, pp.125-137, 1970.

P. Samuel, Lectures on old and new results on algebraic curves. Notes by S, Anantharaman. Tata Institute of Fundamental Research Lectures on Mathematics Tata Institute of Fundamental Research, issue.36, 1966.

M. Temkin, Introduction to Berkovich Analytic Spaces, Berkovich spaces and applications, pp.3-66
DOI : 10.1007/978-3-319-11029-5_1

URL : http://arxiv.org/pdf/1010.2235

A. Thuillier, Potential theory on curves in non-Archimedean geometry, 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

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

L. Zalcman, A Heuristic Principle in Complex Function Theory, The American Mathematical Monthly, vol.82, issue.8, pp.813-817, 1975.
DOI : 10.2307/2319796