S. Alili, Asymptotic behaviour for random walks in random environments, Journal of Applied Probability, vol.93, issue.02, pp.334-349, 1999.
DOI : 10.1214/aop/1176996444

S. Alili, Persistent random walks in stationary environment, Journal of Statistical Physics, vol.94, issue.3/4, pp.469-494, 1999.
DOI : 10.1023/A:1004577104030

B. Arous, G. , and J. , Dynamics of trap models, Ecole d' ´ Ete de Physique des Houches, Session LXXXIII, Mathematical Statistical Physics, pp.331-394, 2006.

J. Chamayou and G. Letac, Explicit stationary distributions for compositions of random functions and products of random matrices, Journal of Theoretical Probability, vol.11, issue.1, pp.3-36, 1991.
DOI : 10.1007/BF01046992

A. Dembo and O. Zeitouni, Large deviations techniques and applications Applications of, Mathematics, vol.38, 1998.

N. Enriquez, C. Sabot, and O. Zindy, A probabilistic representation of constants in Kesten???s renewal theorem, Probability Theory and Related Fields, vol.8, issue.3-4, 2009.
DOI : 10.1007/s00440-008-0155-9

W. Feller, An Introduction to Probability Theory and its Applications, 1971.

C. M. Goldie, Implicit Renewal Theory and Tails of Solutions of Random Equations, The Annals of Applied Probability, vol.1, issue.1, pp.126-166, 1991.
DOI : 10.1214/aoap/1177005985

I. Goldsheid and . Ya, Simple transient random walks in one-dimensional random environment: the central limit theorem, Probability Theory and Related Fields, vol.3, issue.1-2, pp.41-64, 2007.
DOI : 10.1007/s00440-006-0038-x

A. O. Golosov, Limit distributions for random walks in random environments, Soviet Math. Dokl, vol.28, pp.18-22, 1986.

Y. Hu, Z. Shi, and M. Yor, Rates of convergence of diffusions with drifted Brownian potentials, Transactions of the American Mathematical Society, vol.351, issue.10, pp.3915-3934, 2004.
DOI : 10.1090/S0002-9947-99-02421-6

D. L. Iglehart, Extreme Values in the GI/G/1 Queue, The Annals of Mathematical Statistics, vol.43, issue.2, pp.627-635, 1972.
DOI : 10.1214/aoms/1177692642

K. Kawazu and H. Tanaka, A diffusion process in a Brownian environment with drift, J. Math. Soc. Japan, vol.49, pp.189-211, 1997.
DOI : 10.1142/9789812778550_0028

H. Kesten, Random difference equations and Renewal theory for products of random matrices, Acta Mathematica, vol.131, issue.0, pp.207-248, 1973.
DOI : 10.1007/BF02392040

H. Kesten, The limit distribution of Sinai's random walk in random environment, Physica A: Statistical Mechanics and its Applications, vol.138, issue.1-2, pp.299-309, 1986.
DOI : 10.1016/0378-4371(86)90186-X

H. Kesten, M. V. Kozlov, and F. Spitzer, A limit law for random walk in a random environment, Compositio Math, vol.30, pp.145-168, 1975.

E. Mayer-wolf, A. Roitershtein, and O. Zeitouni, Limit theorems for one-dimensional transient random walks in Markov environments, Probab. Stat, vol.40, pp.635-659, 2004.

J. Peterson and O. Zeitouni, Quenched limits for transient, zero speed one-dimensional random walk in random environment, The Annals of Probability, vol.37, issue.1, pp.143-188, 2009.
DOI : 10.1214/08-AOP399

D. Siegmund, Note on a stochastic recursion, IMS Lecture Notes Monogr. Ser. Inst. Math. Statist, vol.36, pp.547-554, 1999.
DOI : 10.1214/lnms/1215090088

Y. G. Sinai, The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium, Theory of Probability & Its Applications, vol.27, issue.2, pp.256-268, 1982.
DOI : 10.1137/1127028

A. Singh, Rates of convergence of a transient diffusion in a spectrally negative L??vy potential, The Annals of Probability, vol.36, issue.1, pp.279-318, 2008.
DOI : 10.1214/009117907000000123

F. Solomon, Random Walks in a Random Environment, The Annals of Probability, vol.3, issue.1, pp.1-31, 1975.
DOI : 10.1214/aop/1176996444

O. Zeitouni, Random Walks in Random Environment, XXXI summer school in probability, Lecture Notes in Math. 1837, pp.193-312, 2001.

F. Nanterre, C. Laboratoire-de-probabilités-et-modèles-aléatoires, and . Umr, 75252 Paris Cedex 05, France E-mail address: nenriquez@u-paris10.fr Institut Camille Jordan Villeurbanne Cedex E-mail address: sabot@math.univ-lyon1, CNRS UMR, vol.7599, issue.5208, pp.69622-92000, 0200.