L. Baum and M. Katz, Convergence rates in the law of large numbers, Bulletin of the American Mathematical Society, vol.69, issue.6, pp.771-772, 1963.
DOI : 10.1090/S0002-9904-1963-11027-7

Y. Benoist and J. Quint, Central limit theorem for linear groups, The Annals of Probability, vol.44, issue.2, pp.1308-1340, 2016.
DOI : 10.1214/15-AOP1002
URL : http://arxiv.org/abs/1603.09086

I. Berkes, W. Liu, and W. Wu, Koml??s???Major???Tusn??dy approximation under dependence, The Annals of Probability, vol.42, issue.2, pp.794-817, 2014.
DOI : 10.1214/13-AOP850
URL : http://arxiv.org/abs/1402.6517

P. Bougerol and J. Lacroix, Products of random matrices with applications to Schrödinger operators, Progress in Probability and Statistics, 1985.

R. C. Bradley, On quantiles and the central limit question for strongly mixing sequences, Journal of Theoretical Probability, vol.10, issue.2, pp.507-555, 1997.
DOI : 10.1023/A:1022624919588

R. C. Bradley, Introduction to strong mixing conditions, 2007.
DOI : 10.1007/978-1-4615-8162-8_8
URL : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA158740

C. Cuny, J. Dedecker, and C. Jan, Limit theorems for the left random walk on GL d (R). (2017). hal-01283929

C. Cuny and F. Merlevède, On martingale approximations and the quenched weak invariance principle, The Annals of Probability, vol.42, issue.2, pp.760-793, 2014.
DOI : 10.1214/13-AOP856
URL : https://hal.archives-ouvertes.fr/hal-00745641

C. Cuny and F. Merlevède, Strong Invariance Principles with Rate for ?Reverse? Martingale Differences and Applications, Journal of Theoretical Probability, vol.110, issue.2, pp.137-183, 2015.
DOI : 10.1007/BF02808180
URL : https://hal.archives-ouvertes.fr/hal-00745647

J. Dedecker and P. Doukhan, A new covariance inequality and applications. Stochastic Process, Appl, vol.106, issue.1, pp.63-80, 2003.
DOI : 10.1016/s0304-4149(03)00040-1
URL : http://doi.org/10.1016/s0304-4149(03)00040-1

J. Dedecker, F. Merlevède, and E. Rio, Strong approximation of the empirical distribution function for absolutely regular sequences in ${\mathbb R}^d$, Electronic Journal of Probability, vol.19, issue.0, p.pp, 2014.
DOI : 10.1214/EJP.v19-2658

J. Dedecker and C. Prieur, Coupling for ?-Dependent Sequences and Applications, Journal of Theoretical Probability, vol.3, issue.4, pp.861-885, 2004.
DOI : 10.1007/s10959-004-0578-x

J. Dedecker and E. Rio, On the functional central limit theorem for stationary processes, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.36, issue.1, pp.1-34, 2000.
DOI : 10.1016/S0246-0203(00)00111-4

H. Furstenberg and H. Kesten, Products of Random Matrices, The Annals of Mathematical Statistics, vol.31, issue.2, pp.31-457, 1960.
DOI : 10.1214/aoms/1177705909

J. Komlós, P. Major, and G. Tusnády, An approximation of partial sums of independent RV's, and the sample DF. II, Zeitschrift f?r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.3, issue.1, pp.33-58, 1976.
DOI : 10.1007/BF00532688

T. Lindvall, On coupling of discrete renewal processes, Zeitschrift f?r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.XX, issue.1, pp.57-70, 1979.
DOI : 10.1007/BF00534882

P. Major, The approximation of partial sums of independent RV's, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.2, issue.3, pp.213-220, 1976.
DOI : 10.1007/BF00532673

F. Merlevède, C. Peligrad, and M. Peligrad, Almost sure invariance principles via martingale approximation. Stochastic Process, Appl, vol.122, issue.1, pp.170-190, 2012.

F. Merlevède and M. Peligrad, On the Weak Invariance Principle for Stationary Sequences under Projective Criteria, Journal of Theoretical Probability, vol.32, issue.2, pp.647-689, 2006.
DOI : 10.1002/9780470316962

F. Merlevède and E. Rio, Strong approximation of partial sums under dependence conditions with application to dynamical systems, Stochastic Processes and their Applications, vol.122, issue.1, pp.386-417, 2012.
DOI : 10.1016/j.spa.2011.08.012

M. Peligrad, S. Utev, and W. B. Wu, A maximal L p ?inequality for stationary sequences and its applications, Proc. Amer, pp.541-550, 2007.

E. Rio, Théorie asymptotique des processus aléatoires faiblement dpendants, Mathématiques & Applications, vol.31, 2000.

A. Sakhanenko, Estimates in the invariance principle in terms of truncated power moments, Siberian Mathematical Journal, vol.36, issue.2, pp.1355-1371, 2006.
DOI : 10.1007/s11202-006-0119-1

X. Shao and W. B. Wu, Limit theorems for iterated random functions, J. Appl. Prob, vol.41, pp.425-436, 2004.