D. Victorovich and A. , Geodesic flows on closed riemannian manifolds of negative curvature, pp.3-210, 1967.

W. Ballmann, Manifolds of non positive curvature, 1985.
DOI : 10.1007/BF02565638

T. Barbot, F. Béguin, and A. Zeghib, Constant Mean Curvature Foliations of Globally Hyperbolic Spacetimes Locally Modelled on AdS 3, Geometriae Dedicata, vol.30, issue.12, pp.71-129, 2007.
DOI : 10.1007/s10711-005-6560-7
URL : https://hal.archives-ouvertes.fr/hal-00003473

G. Besson, G. Courtois, and S. Gallot, Entropies et rigidités des espaces localement symétriques de courbure strictement négative. Geometric and functional analysis, pp.731-799, 1995.

M. Bridgeman and R. Canary, François Labourie, and Andres Sambarino. The pressure metric for convex representations, 2013.

M. Babillot, A. Feres, and . Zeghib, Rigidité, groupe fondamental et dynamique Panoramas et Syntheses, 2002.

D. George and . Birkhoff, Proof of the ergodic theorem, Proceedings of the National Academy of Sciences of the United States of America, vol.17, issue.12, p.656, 1931.

J. Christopher, P. W. Bishop, and . Jones, Hausdorff dimension and Kleinian groups, Acta Math, vol.179, issue.1, pp.1-39, 1997.

F. Bonahon, Bouts des Varietes Hyperboliques de Dimension 3, The Annals of Mathematics, vol.124, issue.1, pp.71-158, 1986.
DOI : 10.2307/1971388

F. Bonahon, The geometry of Teichm???ller space via geodesic currents, Inventiones Mathematicae, vol.25, issue.1, pp.139-162, 1988.
DOI : 10.1007/BF01393996

F. Bonahon, Earthquakes on Riemann surfaces and on measured geodesic laminations, Transactions of the American Mathematical Society, vol.330, issue.1, pp.69-95, 1992.
DOI : 10.1090/S0002-9947-1992-1049611-3

R. Bowen, Periodic Orbits for Hyperbolic Flows, American Journal of Mathematics, vol.94, issue.1, pp.1-30, 1972.
DOI : 10.2307/2373590

R. Bowen, Hausdorff dimension of quasi-circles. Publications Mathématiques de l'IHÉS, pp.11-25, 1979.

M. Bridgeman, Average bending of convex pleated planes in hyperbolic three-space, Inventiones Mathematicae, vol.132, issue.2, pp.381-391, 1998.
DOI : 10.1007/s002220050227

C. Bishop and T. Steger, Three rigidity criteria for psl(2,r) Bulletin of the, pp.117-123, 1991.

S. Buyalo and V. Schroeder, Elements of asymptotic geometry, 2007.
DOI : 10.4171/036

M. Bonk and O. Schramm, Embeddings of gromov hyperbolic spaces, Selected Works of Oded Schramm, pp.243-284, 2011.

F. Bonsante and J. Schlenker, Fixed points of compositions of earthquakes, Duke Mathematical Journal, vol.161, issue.6, pp.1011-1054, 2012.
DOI : 10.1215/00127094-1548434
URL : https://hal.archives-ouvertes.fr/hal-00636430

M. Bridgeman, C. Edward, and . Taylor, Length distortion and the Hausdorff dimension of limit sets, American Journal of Mathematics, vol.122, issue.3, pp.465-482, 2000.
DOI : 10.1353/ajm.2000.0016

M. Burger, Intersection, the manhattan curve, and patterson-sullivan theory in rank 2, International Mathematics research notices, issue.7, pp.217-225, 1993.

D. Calegari, The Ergodic Theory of Hyperbolic Groups, Contemp. Math, vol.597, pp.15-52, 2013.
DOI : 10.1090/conm/597/11762

J. Andrew, . Casson, A. Steven, and . Bleiler, Automorphisms of surfaces after Nielsen and Thurston. Number 9, 1988.

M. Coornaert, Mesures de Patterson-Sullivan sur le bord d???un espace hyperbolique au sens de Gromov, Pacific Journal of Mathematics, vol.159, issue.2, pp.241-270, 1993.
DOI : 10.2140/pjm.1993.159.241
URL : https://hal.archives-ouvertes.fr/hal-00126280

W. James, . Cannon, P. William, and . Thurston, Group invariant peano curves Geometry &amp, pp.1315-1355, 2007.

J. Delsarte, Sur le gitter fuchsien, CR Acad. Sci. Paris, vol.214, issue.1, pp.147-179, 1942.

B. Diallo, Métriques prescrites sur le bord du coeur convexe d'une variété anti-de Sitter globalement hyperbolique maximale compacte de dimension trois, 2014.

P. Eberlein and B. O. Neill, Visibility manifolds, Pacific Journal of Mathematics, vol.46, issue.1, pp.45-109, 1973.
DOI : 10.2140/pjm.1973.46.45

A. Fathi, F. Laudenbach, and V. Poénaru, Travaux de Thurston sur les surfaces : Séminaire Orsay, 1979.

C. Friedrich and G. , Disquisitiones Arithmaticae, 1965.

É. Ghys, P. , and L. Harpe, Espaces M??triques Hyperboliques, Sur les groupes hyperboliques d'apres Mikhael Gromov, pp.27-45, 1990.
DOI : 10.1007/978-1-4684-9167-8_2

N. Halpern, A Proof of the Collar Lemma, Bulletin of the London Mathematical Society, vol.13, issue.2, pp.141-144, 1981.
DOI : 10.1112/blms/13.2.141

U. Hamenstädt, Time-preserving conjugacies of geodesic flows. Ergodic Theory and Dynamical Systems, pp.67-74, 1992.

U. Hamenstädt, Ergodic properties of function groups, Geometriae Dedicata, vol.93, issue.1, pp.163-176, 2002.
DOI : 10.1023/A:1020378617830

Y. Jaramillo, Intersection numbers in a hyperbolic surface, THE UNIVERSITY OF OKLAHOMA, 2013.

H. Huber, Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen, Mathematische Annalen, vol.33, issue.1, pp.1-26, 1959.
DOI : 10.1007/BF01369663
URL : http://www.digizeitschriften.de/download/PPN235181684_0138/PPN235181684_0138___log7.pdf

Z. Huang and B. Wang, Mean curvature flows in almost fuchsian manifolds . arXiv preprint, 2010.

H. Espaces-métriques, Sur les groupes hyperboliques d'apres mikhael gromov, Progress in mathematics, 1990.

]. S. Ker83 and . Kerckhoff, The nielsen realization problem, Annals of Mathematics, pp.253-265, 1983.

A. Katok, Entropy and closed geodesies Ergodic theory and dynamical Systems, pp.339-365, 1982.

Y. Kifer, Large deviations in dynamical systems and stochastic processes. Transactions of the, pp.505-524, 1990.

Y. Kifer, Large deviations, averaging and periodic orbits of dynamical systems, Communications in Mathematical Physics, vol.77, issue.no. 5, pp.33-46, 1994.
DOI : 10.1007/BF02105185

A. Katok, G. Knieper, and H. Weiss, Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows, Communications in Mathematical Physics, vol.57, issue.10, pp.19-31, 1991.
DOI : 10.1007/BF02099667

G. Knieper, Das Wachstum der ???quivalenzklassen geschlossener Geod???tischer in kompakten Mannigfaltigkeiten, Archiv der Mathematik, vol.210, issue.1, pp.559-568, 1983.
DOI : 10.1007/BF01192824

G. Knieper, Volume growth, entropy and the geodesic stretch, Mathematical Research Letters, vol.2, issue.1, pp.39-58, 1995.
DOI : 10.4310/MRL.1995.v2.n1.a5

]. S. Lal87 and . Lalley, Distribution of periodic orbits of symbolic and axiom A flows, Adv. Appl. Math, vol.8, pp.154-193, 1987.

F. Ledrappier, Structure au bord des variétés à courbure négative. Séminaire de théorie spectrale et géométrie, pp.97-122, 1994.

Z. Li, LENGTH SPECTRUMS OF RIEMANN SURFACES AND THE TEICHM??LLER METRIC, Bulletin of the London Mathematical Society, vol.35, issue.02, pp.247-254, 2003.
DOI : 10.1112/S0024609302001789

G. Link, Hausdorff dimension of limit sets of discrete subgroups of higher rank Lie groups, Geometric And Functional Analysis, vol.14, issue.2, pp.400-432, 2004.
DOI : 10.1007/s00039-004-0462-y

G. Link, Asymptotic Geometry in the product of Hadamard spaces with rank one isometries. ArXiv e-prints, 2008.

T. Curtis and . Mcmullen, Hausdorff dimension and conformal dynamics i : Strong convergence of kleinian groups, 1999.

[. Mess, Lorentz spacetimes of constant curvature, Geometriae Dedicata, vol.21, issue.2, pp.3-45, 2007.
DOI : 10.1007/s10711-007-9155-7

D. Mumford, A remark on Mahler's compactness theorem, Proc. Am, pp.289-294, 1971.

J. Peter and . Nicholls, The ergodic theory of discrete groups, 1989.

J. Otal, Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)

J. Otal, Sur la g??ometrie symplectique de l'espace des g??od??siques d'une vari??t?? ?? courbure n??gative, Revista Matem??tica Iberoamericana, vol.8, issue.3, pp.441-456, 1992.
DOI : 10.4171/RMI/130

J. Samuel and . Patterson, The limit set of a fuchsian group, Acta mathematica, vol.136, issue.1, pp.241-273, 1976.

[. Paulin, On the critical exponent of a discrete group of hyperbolic isometries. Differential Geometry and its Applications, pp.231-236, 1997.

M. Peigné, Autour de l'exposant critique d'un groupe kleinien. arXiv preprint, 2010.

W. Parry and M. Pollicott, Zeta functions and closed orbit structure for hyperbolic systems, Asterisque, vol.187, issue.188, pp.1-268, 1990.

J. Quint, Divergence exponentielle des sous-groupes discrets en rang sup??rieur, Commentarii Mathematici Helvetici, vol.77, issue.3, pp.563-608, 2002.
DOI : 10.1007/s00014-002-8352-0

T. Roblin, Ergodicité et équidistribution en courbure négative Mémoire de la Société mathématique de France, p.96, 2003.

A. Sanders, Entropy, minimal surfaces, and negatively curved manifolds. arXiv preprint, 2014.

A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric riemannian spaces with applications to dirichlet series, J. Indian Math. Soc, vol.20, pp.47-87, 1956.

R. Sharp, The Manhattan curve and the correlation of length spectra on hyperbolic surfaces, Mathematische Zeitschrift, vol.228, issue.4, pp.745-750, 1998.
DOI : 10.1007/PL00004643

R. Schwartz and R. Sharp, The correlation of length spectra of two hyperbolic surfaces, Communications in Mathematical Physics, vol.23, issue.2, pp.423-430, 1993.
DOI : 10.1007/BF02096650

D. Sullivan, The density at infinity of a discrete group of hyperbolic motions, Publications Mathématiques de l'IHÉS, pp.171-202, 1979.
DOI : 10.1007/BF02684773

D. Sullivan, Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups, Acta Mathematica, vol.153, issue.0, pp.259-277, 1984.
DOI : 10.1007/BF02392379

P. William and . Thurston, Minimal stretch maps between hyperbolic surfaces. arXiv preprint math, 1998.

P. William, J. W. Thurston, and . Milnor, The geometry and topology of three-manifolds, 1979.

K. Karen and . Uhlenbeck, Closed minimal surfaces in hyperbolic 3-manifolds, Seminar on minimal submanifolds, pp.147-168, 1983.

P. Walters, A Variational Principle for the Pressure of Continuous Transformations, American Journal of Mathematics, vol.97, issue.4, pp.937-971, 1975.
DOI : 10.2307/2373682

P. Walters, An introduction to ergodic theory, 2000.
DOI : 10.1007/978-1-4612-5775-2

S. Wolpert, Noncompleteness of the Weil-Petersson metric for Teichm??ller space, Pacific Journal of Mathematics, vol.61, issue.2, pp.573-577, 1975.
DOI : 10.2140/pjm.1975.61.573

S. Wolpert, An elementary formula for the Fenchel-Nielsen twist, Commentarii Mathematici Helvetici, vol.56, issue.1, pp.132-135, 1981.
DOI : 10.1007/BF02566203