J. Brémont, On planar random walks in environments invariant by horizontal translations, Markov Processes and Related Fields, vol.22, pp.267-310, 2016.

J. Brémont, Markov chains in a stratified environment, ALEA, Lat. Am. J. Probab. Math. Stat, vol.14, pp.751-798, 2017.

M. Campanino and D. Petritis, Random walks on randomly oriented lattices, Markov Processes and Related Fields, vol.9, pp.391-412, 2003.

M. Campanino and D. Petritis, Type transitions of simple random walks on randomly directed regular lattices, Journal of Applied Probability, vol.51, pp.1065-1080, 2014.

F. Castell, N. Guillotin, F. Pene, and B. Schapira, A local limit theorem for random walks in random scenery and on randomly oriented lattices, Annals of Proba, vol.39, issue.6, pp.2079-2118, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00455154

K. Chung, A course in probability theory, 1974.

A. Devulder and F. Pene, Random walk in random environment in a two-dimensional stratified medium with orientations, Electron. Journal of Probab, vol.18, issue.88, pp.1-23, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00634636

B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, 1968.

N. Guillotin-plantard and A. L. Ny, Transient random walks on 2D-oriented lattices, vol.52, pp.699-711, 2008.

N. Guillotin-plantard and A. L. Ny, A functional limit theorem for a 2d-random walk with dependent marginals, Electronic Communications in Probability, vol.13, pp.337-351, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00148564

S. Kalikow, Generalized random walk in a random environment, Ann. Probab, vol.9, pp.753-768

M. Kochler, Random walks in random environment : random orientations and branching, 2012.

M. Matheron and G. De-marsily, Is transport in porous media always diffusive ? A counterexample, Water resources Res, vol.16, pp.901-907, 1980.

D. Ornstein, Random walks. I, II, Trans. Amer. Math. Soc, vol.138, pp.45-60, 1969.

F. Pene, Transient random walk in Z 2 with stationary orientations, ESAIM Probability and Statistics, vol.13, pp.417-436, 2009.

C. Sabot, Random Walks in Random Dirichlet Environment are transient in dimension d ? 3, Probab. Theory Related Fields, vol.151, pp.297-317, 2011.

Y. Sina¨?sina¨?, The limit behavior of a one-dimensional random walk in a random environment, Teor. Veroyatnost. i Primenen, vol.27, issue.2, pp.247-258, 1982.

F. Solomon, Random walks in a random environment, Ann. Probability, vol.3, pp.1-31, 1975.

F. Spitzer, Principles of random walks, vol.34, 1976.

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