S. Aida and D. Stroock, Moment Estimates Derived from Poincar?? and Logarithmic Sobolev Inequalities, Mathematical Research Letters, vol.1, issue.1, pp.75-86, 1994.
DOI : 10.4310/MRL.1994.v1.n1.a9

S. N. Armstrong and J. Mourrat, Lipschitz Regularity for Elliptic Equations with Random Coefficients, Archive for Rational Mechanics and Analysis, vol.47, issue.1???2, pp.255-348, 2016.
DOI : 10.1007/s00526-012-0519-y
URL : https://hal.archives-ouvertes.fr/ensl-01401892

S. N. Armstrong and C. K. Smart, Quantitative, Annales scientifiques de l'??cole normale sup??rieure, vol.49, issue.2, pp.423-481, 2016.
DOI : 10.24033/asens.2287
URL : https://hal.archives-ouvertes.fr/hal-01483473

D. Bakry, I. Gentil, and M. Ledoux, Analysis and geometry of Markov diffusion operators, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2014.
DOI : 10.1007/978-3-319-00227-9
URL : https://hal.archives-ouvertes.fr/hal-00929960

E. N. Barron, P. Cardaliaguet, and R. Jensen, Radon??Nikodym Theorem in L ???, Applied Mathematics and Optimization, vol.42, issue.2, pp.103-126, 2000.
DOI : 10.1007/s002450010006

E. N. Barron, P. Cardaliaguet, and R. Jensen, Conditional Essential Suprema with Applications, Applied Mathematics and Optimization, vol.48, issue.3, pp.229-253, 2003.
DOI : 10.1007/s00245-003-0776-4

S. Bobkov and M. Ledoux, Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution. Probab. Theory Related Fields, pp.383-400, 1997.

P. Doukhan, Mixing. Properties and examples, Lecture Notes in Statistics, vol.85, 1994.

M. Duerinckx and A. Gloria, Weighted functional inequalities: Constructive approach, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01633041

M. Duerinckx and A. Gloria, Weighted second-order Poincaré inequalities: Application to the jamming limit, 2017.

J. Fischer and F. Otto, A higher-order large-scale regularity theory for random elliptic operators, Communications in Partial Differential Equations, vol.26, issue.7, pp.1108-1148, 2016.
DOI : 10.1214/10-AIHP375
URL : http://arxiv.org/pdf/1503.07578

A. Gloria, S. Neukamm, and F. Otto, Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics, Inventiones mathematicae, vol.27, issue.4, pp.455-515, 2015.
DOI : 10.1007/BF02096629
URL : https://hal.archives-ouvertes.fr/hal-01093405

A. Gloria, S. Neukamm, and F. Otto, Quantitative stochastic homogenization for correlated fields, 2017.

A. Gloria, S. Neukamm, and F. Otto, A regularity theory for random elliptic operators, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01093368

A. Gloria and F. Otto, An optimal variance estimate in stochastic homogenization of discrete elliptic equations, The Annals of Probability, vol.39, issue.3, pp.779-856, 2011.
DOI : 10.1214/10-AOP571
URL : https://hal.archives-ouvertes.fr/hal-00383953

A. Gloria and F. Otto, 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

A. Gloria and F. Otto, Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization, CEMRACS 2013?modelling and simulation of complex systems: stochastic and deterministic approaches of ESAIM Proc. Surveys, pp.80-97, 2015.
DOI : 10.1051/proc/201448003
URL : https://hal.archives-ouvertes.fr/hal-01060499

A. Gloria and F. Otto, Quantitative results on the corrector equation in stochastic homogenization, Journal of the European Mathematical Society, vol.19, issue.11, pp.3489-3548, 2017.
DOI : 10.4171/JEMS/745
URL : https://hal.archives-ouvertes.fr/hal-01093381

I. A. Ibragimov and Y. A. Rozanov, Gaussian random processes, Applications of Mathematics, vol.9, 1978.
DOI : 10.1007/978-1-4612-6275-6

M. Ledoux, Concentration of measure and logarithmic Sobolev inequalities, Notes, vol.27, issue.12, 1997.
DOI : 10.1007/s004400050137

M. Ledoux, The concentration of measure phenomenon, volume 89 of Mathematical Surveys and Monographs, 2001.

A. Naddaf and T. Spencer, Estimates on the variance of some homogenization problems, 1998.

M. Rosenblatt, A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION, Proceedings of the National Academy of Sciences, vol.42, issue.1, pp.43-47, 1956.
DOI : 10.1073/pnas.42.1.43
URL : http://doi.org/10.1073/pnas.42.1.43

S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Applied Mechanics Reviews, vol.55, issue.4, 2002.
DOI : 10.1115/1.1483342