A. Avila and S. Gouëzel, Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichm??ller flow, Annals of Mathematics, vol.178, issue.2, pp.385-442, 2013.
DOI : 10.4007/annals.2013.178.2.1

A. Avila, S. Gouëzel, and J. Yoccoz, Exponential mixing for the Teichmüllerichm¨ichmüller flow An elementary introduction to modern convex geometry, Flavors of geometry, pp.143-211, 1997.

R. Martin, A. Bridson, and . Haefliger, Metric spaces of non-positive curvature [BP07] Luis Barreira and Yakov Pesin. Nonuniform hyperbolicity, volume 115 of Encyclopedia of Mathematics and its Applications Dynamics of systems with nonzero Lyapunov exponents, Proc. Sympos. Pure Math Smooth Ergodic Theory and its Applications chapter Appendix: H ¨ older continuity of invariant distributions, pp.91-95, 1999.

J. Chaika and A. Eskin, Every flat surface is Birkhoff and Oseledets generic in almost every direction, Journal of Modern Dynamics, vol.9, issue.01, pp.1-23, 2015.

A. Eskin and M. Mirzakhani, Invariant and stationary measures for the SL(2,R) action on Moduli space. ArXiv e-prints, 2013.

A. Eskin, M. Mirzakhani, and A. Mohammadi, Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space. ArXiv e-prints, 2013.

G. Forni, Deviation of Ergodic Averages for Area-Preserving Flows on Surfaces of Higher Genus, of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas, pp.1-103, 1987.
DOI : 10.2307/3062150

V. I. Oseledets, A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems, Trans. Moscow Math. Soc, vol.19, pp.197-231, 1968.

Y. B. Pesin, CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY, Russian Mathematical Surveys, vol.32, issue.4, pp.55-114, 1977.
DOI : 10.1070/RM1977v032n04ABEH001639

C. Pugh and M. Shub, Ergodic elements of ergodic actions, Compositio Math, vol.23, pp.115-122, 1971.

A. Zorich, Flat surfaces In Frontiers in number theory, physics, and geometry. I, pp.437-583, 2006.