Symmetric random walks in random environments, Communications in Mathematical Physics, vol.113, issue.3, pp.449-470, 1982. ,
DOI : 10.1007/BF01208724
Invariance principle for the random conductance model with unbounded conductances, The Annals of Probability, vol.38, issue.1, pp.234-276, 2010. ,
DOI : 10.1214/09-AOP481
Quenched invariance principle for simple random walk on percolation clusters. Probab. Theory Related Fields, pp.83-120, 2007. ,
Functional CLT for Random Walk Among Bounded Random Conductances, Electronic Journal of Probability, vol.12, issue.0, pp.1323-1348, 2007. ,
DOI : 10.1214/EJP.v12-456
An invariance principle for reversible Markov processes. Applications to random motions in random environments, Journal of Statistical Physics, vol.38, issue.1, pp.3-4, 1989. ,
DOI : 10.1007/BF01041608
Probability: theory and examples, 1996. ,
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations. M2AN, pp.1-38, 2012. ,
URL : https://hal.archives-ouvertes.fr/inria-00510514
An optimal variance estimate in stochastic homogenization of discrete elliptic equations, Ann. Probab, vol.39, issue.3, pp.779-856, 2011. ,
An optimal error estimate in stochastic homogenization of discrete elliptic equations, The Annals of Applied Probability, vol.22, issue.1, pp.1-28 ,
DOI : 10.1214/10-AAP745
URL : https://hal.archives-ouvertes.fr/inria-00457020
Spectral measure and approximation of homogenized coefficients . Probab. Theory Related Fields ,
URL : https://hal.archives-ouvertes.fr/inria-00510513
Gaussian Estimates for Markov Chains and Random Walks on Groups, The Annals of Probability, vol.21, issue.2, pp.673-709, 1993. ,
DOI : 10.1214/aop/1176989263
English version appeared as: Probability theory. A comprehensive course, 2006. ,
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions, Communications in Mathematical Physics, vol.28, issue.1, pp.1-19, 1986. ,
DOI : 10.1007/BF01210789
The averaging method and walks in inhomogeneous environments Averaging of difference schemes The diffusion limit for reversible jump processes on Z d with ergodic random bond conductivities, English transl.: Russian Math. Surveys, pp.61-120, 1983. ,
Quenched Invariance Principles for Random Walks with??Random Conductances, Journal of Statistical Physics, vol.129, issue.2, pp.1025-1046, 2008. ,
DOI : 10.1007/s10955-007-9465-z
Quenched invariance principles for random walks on percolation clusters, Proc. R. Soc. A, pp.2287-2307, 2007. ,
DOI : 10.1098/rspa.2007.1876
Variance decay for functionals of the environment viewed by the particle, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.1, pp.294-327, 2011. ,
DOI : 10.1214/10-AIHP375
URL : https://hal.archives-ouvertes.fr/hal-01271688
Boundary value problems with rapidly oscillating random coefficients, Random fields, pp.835-873, 1979. ,
Diffusions and random walks in random media, The mathematics and physics of disordered media, pp.391-399, 1983. ,
DOI : 10.1007/BF01646091
Quenched invariance principles for walks on clusters of percolation or among random conductances. Probab. Theory Related Fields, pp.219-244, 2004. ,
Nord Europe & Université Lille 1, Villeneuve d'Ascq, France E-mail address: antoine.gloria@inria.fr (Jean-Christophe Mourrat) EPFL, institut de mathématiques, station 8, Lausanne, 1015. ,