M. Avellaneda and F. H. Lin, Compactness methods in the theory of homogenization, Communications on Pure and Applied Mathematics, vol.56, issue.6, pp.803-847, 1987.
DOI : 10.1002/cpa.3160400607

X. Blanc, C. Le-bris, and P. Lions, A denition of the ground state energy for systems composed of innitely many particles, Communications in P.D.E, vol.283, pp.1-2, 2003.

X. Blanc, C. Le-bris, and P. Lions, Une variante de la th??orie de l'homog??n??isation stochastique des op??rateurs elliptiques, Note aux Comptes Rendus de l'Académie des Sciences, t. 343, Série 1, pp.711-724, 2006.
DOI : 10.1016/j.crma.2006.09.034

X. Blanc, C. Le-bris, and P. Lions, Stochastic homogenization and random lattices, Journal de Math??matiques Pures et Appliqu??es, vol.88, issue.1, pp.34-63, 2007.
DOI : 10.1016/j.matpur.2007.04.006
URL : https://hal.archives-ouvertes.fr/hal-00140076

X. Blanc, C. Le-bris, and P. Lions, A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects, Milan Journal of Mathematics, vol.88, issue.2, pp.351-367, 2012.
DOI : 10.1007/s00032-012-0186-7

X. Blanc, C. Le-bris, and P. Lions, Local proles for elliptic problems at dierent scales : defects in, and interfaces between periodic structures, en préparation, Blanc, C. Le Bris, P.-L. Lions, en préparation

X. Blanc, F. Legoll, and A. Anantharaman, Asymptotic behaviour of Green functions of divergence form operators with periodic coecients, Applied Mathematics Research Express, issue.1, pp.79-101, 2013.

G. Dolzmann and S. Müller, Estimates for Green's matrices of elliptic systems byL p theory, Manuscripta Mathematica, vol.17, issue.1, pp.261-273, 1995.
DOI : 10.1007/BF02567822

Y. Efendiev and T. Hou, Multiscale Finite Element method, Theory and applications, Surveys and Tutorials in the Applied Mathematical Sciences, 2009.

M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, 1983.

D. Gilbarg and N. S. Trudinger, Elliptic partial dierential equations of second order. Reprint of the 1998 edition, Classics in Mathematics, 2001.

M. Grüter and K. O. Widman, The Green function for uniformly elliptic equations, Manuscripta Mathematica, vol.26, issue.3, pp.303-342, 1982.
DOI : 10.1007/BF01166225

V. V. Jikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of dierential operators and integral functionals, 1994.

J. Moser, On Harnack's theorem for elliptic differential equations, Communications on Pure and Applied Mathematics, vol.13, issue.3, pp.577-591, 1961.
DOI : 10.1002/cpa.3160140329