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
Persistent random walks in stationnary environment, Journal of Stat. Phys, vol.944, issue.3, 1999. ,
On sums of symmetrically dependent random variables, Scandinavian Actuarial Journal, vol.1, issue.sup1, pp.123-138, 1953. ,
DOI : 10.1090/S0002-9939-1951-0043405-2
Symmetric random walks in random environments, Communications in Mathematical Physics, vol.113, issue.3, pp.449-470, 1982. ,
DOI : 10.1007/BF01208724
Applied Probability and Queues ,
Convergence of Probability Measures, 1968. ,
DOI : 10.1002/9780470316962
Weak Convergence for Reversible Random Walks in a Random Environment, The Annals of Probability, vol.21, issue.3, pp.1427-1440, 1993. ,
DOI : 10.1214/aop/1176989125
Anomalous diffusion in random media of any dimensionality, Journal de Physique, vol.48, issue.9, pp.1445-1450, 1987. ,
DOI : 10.1051/jphys:019870048090144500
URL : https://hal.archives-ouvertes.fr/jpa-00210574
Random walk in random environment: A counterexample?, Communications in Mathematical Physics, vol.41, issue.2, pp.199-420, 1988. ,
DOI : 10.1007/BF01217738
On some random walks on z in random medium, 2000. ,
A one-dimensional diffusion process in a wiener medium, Ann. Probab, vol.14, issue.4, pp.1206-1218, 1986. ,
Random walks in random environments of a general type, Stochastics and Stochastic Reports, vol.107, issue.3, pp.145-160, 1994. ,
DOI : 10.1080/17442509408833904
Martingale Methods for Random Walks in a One-Dimensional Random Environment, Theory of Probability & Its Applications, vol.39, issue.4, pp.558-572, 1995. ,
DOI : 10.1137/1139043
A functional limit theorem for a symmetric walk in a random environment, Russian Mathematical Surveys, vol.43, issue.2, pp.163-164, 1988. ,
DOI : 10.1070/RM1988v043n02ABEH001710
Asymptotic methods in statistical decision theory, 1986. ,
DOI : 10.1007/978-1-4612-4946-7
The mean velocity of a Brownian motion in a random L??vy
potential, The Annals of Probability, vol.25, issue.4, pp.1774-1788, 1997. ,
DOI : 10.1214/aop/1023481110
One-dimensional Random Field Kac's Model: Localization of the Phases, Electronic Journal of Probability, vol.10, issue.0 ,
DOI : 10.1214/EJP.v10-263
Replication of a multicomponent chain, by the "lightning mechanism, Biophysics, vol.12, pp.336-341, 1962. ,
Probability Theory. Srpinger Markov Chains [24] F. Comets and S. Popov. Limit law for transition probabilities and moderate deviations for sinai's random walk in random environment, 1967. ,
A law of large numbers for random walk in random environments ,
Quenched, annealed and functional large deviations for onedimensional random walk in random environment, 1999. ,
Homogenization of random walk in asymmetric random environment, 2001. ,
Strong Approximations in Probability and Statistics, 1981. ,
Simple random walk on the line in random environment. Probab. Theory Related Fields, pp.215-230, 1986. ,
Aging properties of sinai's model of random walk in random environment, St. Flour summer school 2001 lecture notes, 2001. ,
Random walkers in one-dimensional random environments : Exact renormalization group analysis, Phys, Rev. E, pp.4795-4840, 1999. ,
URL : https://hal.archives-ouvertes.fr/in2p3-00002190
Multidimensional random walks in random environments with subclassical limiting behavior, Communications in Mathematical Physics, vol.1, issue.1, pp.87-102, 1986. ,
DOI : 10.1007/BF01210794
Random walks in random environments, Physical Review A, vol.30, issue.2, pp.960-964, 1984. ,
DOI : 10.1103/PhysRevA.30.960
URL : https://hal.archives-ouvertes.fr/hal-00003998
Random walks in two-dimensional random environments with constrained drift forces, Physical Review A, vol.31, issue.6, pp.31-3841, 1985. ,
DOI : 10.1103/PhysRevA.31.3841
Many visits to a single site by a transient random walk in random environment, Stochastic Processes and their applications, pp.159-176, 2002. ,
DOI : 10.1016/S0304-4149(02)00089-3
Large deviations for one-dimensional random walk in random environment a survey, Proceedings of the conference on random walks society mathematical studies, pp.127-165, 1998. ,
Limit distributions for random walks in random environments, Soviet Math. Dokl, vol.28, pp.18-22, 1983. ,
Localization of random walks in one-dimensional random environments, Communications in Mathematical Physics, vol.7, issue.2, pp.491-506, 1984. ,
DOI : 10.1007/BF01215280
On limiting distribution for a random walk in a critical one-dimensional random environment . Com. of the Mosc, Math. Soc, pp.199-200, 1986. ,
Large deviation for a walk in random environment, Ann. probab, vol.27, issue.4, pp.1381-1428, 1994. ,
A diffusion process in a Brownian environment with drift, J. Math. Soc. Japan, vol.49, pp.189-211, 1997. ,
DOI : 10.1142/9789812778550_0028
The logarithmic average of sinai's walk in random environment, Periodica Mathematica Hungarica, vol.41, issue.1/2, pp.175-185, 2000. ,
DOI : 10.1023/A:1010372522910
Tightness of localization and return time in random environment, Stochastic Processes and their Applications, vol.86, issue.1, pp.81-101, 2000. ,
DOI : 10.1016/S0304-4149(99)00087-3
The limits of sinai's simple random walk in random environment, Ann. Probab, vol.26, issue.4, pp.1477-1521, 1998. ,
The local time of simple random walk in random environment, Journal of Theoritical Probability, vol.11, issue.3, 1998. ,
The problem of the most visited site in random environment. Probab. Theory Related Fields, pp.273-302, 2000. ,
Random Walks and Random Environment, 1996. ,
Random walks in asymetric random environments, Comm. in Math. Phys, vol.142, pp.342-420, 1991. ,
Numerical simulations of random walks in random environment, Journal Stat. Phys, vol.92, issue.34, pp.571-586, 1998. ,
Diffusion on a random lattice: Weak-disorder expansion in arbitrary dimension, Physical Review B, vol.28, issue.12, 1983. ,
DOI : 10.1103/PhysRevB.28.7183
Generalized Random Walk in a Random Environment, The Annals of Probability, vol.9, issue.5, pp.753-768, 1981. ,
DOI : 10.1214/aop/1176994306
Limit theorems for one-dimensional diffusions and random walks in random environments. Probab. Theory Related Fields, pp.501-541, 1989. ,
An iterated logarithm law for local time, Duke Mathematical Journal, vol.32, issue.3, pp.447-456, 1965. ,
DOI : 10.1215/S0012-7094-65-03245-X
Random difference equations and rnewal theory for products of random matrices, Acta. Math, vol.131, pp.208-248, 1973. ,
A renewal theorem for random walk in a random environment, Proc. Sympos. Pure Math, pp.67-77, 1977. ,
DOI : 10.1090/pspum/031/0458648
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
A limit law for random walk in a random environment, Comp. Math, vol.30, pp.145-168, 1975. ,
Recurrence and Transience Criteria for Random Walk in a Random Environment, The Annals of Probability, vol.12, issue.2, pp.529-560, 1984. ,
DOI : 10.1214/aop/1176993304
La loi des grands nombres pour des marches al??atoires multidimensionelles au comportement ballistique sur des r??seaux al??atoires avec des sites cor??ll??s, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.39, issue.2, pp.263-285, 2003. ,
DOI : 10.1016/S0246-0203(02)00002-X
A note on central limit theorem for two-fold stochastic random walks in a random environment, Bull. Polish Acad. Sciences, vol.51, pp.1222-1245, 2003. ,
Random Walk in a One-Dimensional Random Medium, Theory of Probability & Its Applications, vol.18, issue.2, pp.387-388, 1973. ,
DOI : 10.1137/1118048
The method of averaging and walks in inhomogeneous environments, Russian Mathematical Surveys, vol.40, issue.2, pp.73-145, 1985. ,
DOI : 10.1070/RM1985v040n02ABEH003558
An extension of Kesten's renewal theorem for random walk in a random environment, Advances in Applied Mathematics, vol.7, issue.1, pp.80-100, 1986. ,
DOI : 10.1016/0196-8858(86)90008-4
Weak convergence of a random walk in a random environment, Communications in Mathematical Physics, vol.5, issue.1, pp.81-87, 1982. ,
DOI : 10.1007/BF01211057
Localization of one-dimensional random walks in random environments, Mathematical Physics Reviews, vol.8, pp.173-220, 1989. ,
A Criterion for Applicability of the Central Limit Theorem to One-Dimensional Random Walks in Random Environments, Theory of Probability & Its Applications, vol.37, issue.3, pp.553-557, 1992. ,
DOI : 10.1137/1137107
Diffusion in a random medium: A renormalization group approach, Nuclear Physics B, vol.225, issue.2, pp.169-184, 1983. ,
DOI : 10.1016/0550-3213(83)90047-0
A numerical study of diffusion and conduction in a 2D random medium, Journal of Physics A: Mathematical and General, vol.17, issue.10, pp.2069-2077, 1984. ,
DOI : 10.1088/0305-4470/17/10/019
On the interpretation of 1/f noise, Communications in Mathematical Physics, vol.48, issue.1, pp.1-12, 1983. ,
DOI : 10.1007/BF01219521
Noise, Physical Review Letters, vol.50, issue.17, pp.1223-1225, 1983. ,
DOI : 10.1103/PhysRevLett.50.1223
URL : https://hal.archives-ouvertes.fr/jpa-00209795
Generalized diffusion coefficient in one-dimensional random walks with static disorder, Phy. Rew. B, vol.24, issue.9, 1981. ,
Zero white noise limit through dirichlet forms, with application to diffusions in a random media ,
Limit theorems for diffusions with a random potential, Stochastic Processes and their Applications, vol.60, issue.1, pp.103-111, 1995. ,
DOI : 10.1016/0304-4149(95)00057-7
On random perturbations of dynamical systems and diffusions with a Brownian potential in dimension one, Stochastic Processes and their Applications, vol.77, issue.1, pp.53-67, 1998. ,
DOI : 10.1016/S0304-4149(98)00015-5
A zero-one law for plamar random walks in random environment, Ann. Probab ,
Lectures On the Random Media (Summer school, St-Floor France), 1994. ,
Random walk in a random medium in one dimension, Journal of Statistical Physics, vol.103, issue.5-6, pp.803-810, 1985. ,
DOI : 10.1007/BF01010004
Martinguales à temps discret, 1972. ,
Notes on the central limit theorems for tagged partcles and diffusions in random fields, Panorama et Synthèses, vol.12, pp.75-100, 2001. ,
Large deviation principle for random walk in a quenched random environment in the low speed regime, Ann. Probab, vol.27, pp.1389-1413, 1999. ,
Random walks in an inhomogeneous one-dimensional medium with reflecting and absorbing barriers, Theoretical and Mathematical Physics, vol.37, issue.1, pp.857-865, 1998. ,
DOI : 10.1007/BF02634100
In random environment the local time can can be very big. Astérisque, pp.157-158321, 1988. ,
Random walk in random and non-random environments, World Scientific, 1989. ,
Stability and instability of local time of random walk in random environment, Stoch Peroc Appl, vol.25, pp.185-202, 1987. ,
Random Walk in a Random Environment, critical case, 1976. ,
Diffusions with random coefficients, Contemp. Math, vol.41, pp.351-356, 1985. ,
DOI : 10.1090/conm/041/814724
A law of large numbers and a central limit theorem for biased random motions in random environment ,
A local time curiosity in random environment, Stochastic Processes and their Applications, vol.76, issue.2, pp.231-250, 1998. ,
DOI : 10.1016/S0304-4149(98)00036-2
Sinai's walk via stochastic calculus. Panoramas et Synthèses, pp.53-74, 2001. ,
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
Lorentz gas and random walks, Physics, Lecture Notes in Physics, vol.153, pp.12-14, 1982. ,
DOI : 10.1007/3-540-11192-1_4
A random walk with random potential. Theory Probab, Appl, vol.38, pp.382-385, 1985. ,
Random walks in random environment. The Annals of Probability, pp.1-31, 1975. ,
Diffusion in a one-dimensional disordered system, Physical Review B, vol.26, issue.6, p.2917, 1982. ,
DOI : 10.1103/PhysRevB.26.2917
The Growth of a Random Walk, The Annals of Mathematical Statistics, vol.40, issue.6, pp.2203-2206, 1969. ,
DOI : 10.1214/aoms/1177697300
Almost sure convergence, 1974. ,
Persistent random walks in one dimensional random environment, Journal of Stat. Phys, vol.37, issue.12, 1984. ,
An effective criterion for ballistic behavior of random walk in random environement. Probability Theory and Related Fields, 1999. ,
Lectures on random motions in random media, 1999. ,
Slowdown and neutral pockets for a random walk in random environment. Probability Theory and Related Fields, p.115, 1999. ,
Topics in random wlks in random environment, Preprint ; School in Trieste, 1999. ,
On a Class Of Transient Random Walks in Random Environment, The Annals of Probability, vol.29, issue.2, pp.723-764, 2001. ,
DOI : 10.1214/aop/1008956691
On new examples of ballistic random walks in random environment, The Annals of Probability, vol.31, issue.1, pp.285-322, 2003. ,
DOI : 10.1214/aop/1046294312
A law of large number for random walks in random environment, Ann. Probab, vol.27, issue.4, pp.1851-1869, 1999. ,
Grandes déviations pour une diffusion en milieu aléatoire, 2000. ,
Potential, The Annals of Probability, vol.29, issue.3, pp.1173-1204, 2001. ,
DOI : 10.1214/aop/1015345601
Tail estimates for a brownian motion in a drifted brownian potential, 2001. ,
Localization of a diffusion process in a one-dimensional brownian environmement, Comm. Pure Appl. Math, vol.17, pp.755-766, 1994. ,
Diffusion processes in random environment, Birkhäuser Boston, pp.1047-1054, 1995. ,
Limit theorems for a Brownian motion with drift in a white noise environment, Chaos, Solitons & Fractals, vol.8, issue.11, pp.1807-1816, 1997. ,
DOI : 10.1016/S0960-0779(97)00029-5
Persistent random walks in random environment, Probability Theory and Related Fields, vol.37, issue.4, pp.615-625, 1986. ,
DOI : 10.1007/BF00699043
Large deviations for random walks in a random environment, Communications on Pure and Applied Mathematics, vol.29, issue.8, pp.1222-1245, 2003. ,
DOI : 10.1002/cpa.10093
Effective-Medium Approximation for Diffusion on a Random Lattice, Physical Review Letters, vol.47, issue.21, p.47, 1981. ,
DOI : 10.1103/PhysRevLett.47.1496
Rates of convergence for one-dimensional diffusion in a drifted brownian potential, Trans. Amer, Math. Soc, 2000. ,
Lectures notes on random walks in random environment, 2001. ,
Notes of Rio lectures, 2003. ,
Tail estimates for one-dimensional random walk in random environment, Com. Math. Phy, vol.181, pp.667-683, 1996. ,
Quenched sub-exponential tail estimates for one-dimentional random walk in random environment, Comm. Math. Phys, vol.194, pp.177-190, 1998. ,
Precise large deviation estimates for a one-dimensional random walk in a random environment, Probab. Theory Related Fields, vol.113, pp.191-219, 1999. ,
multidimensional random walk in random environment, The Annals of Probability, vol.26, issue.4, pp.1446-1476, 1998. ,
DOI : 10.1214/aop/1022855870
Velocity and Lyapounov exponents of some random walks in random environment, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.36, issue.6, pp.737-748, 2000. ,
DOI : 10.1016/S0246-0203(00)00144-8
A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment, Electronic Communications in Probability, vol.7, issue.0, pp.191-197, 2002. ,
DOI : 10.1214/ECP.v7-1060