, Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N -body Schrödinger operators, Mathematical Notes 29, 1982.
DOI : 10.1515/9781400853076
, Integral Representation Results for Energies Defined on Stochastic Lattices and Application to Nonlinear Elasticity, Archive for Rational Mechanics and Analysis, vol.262, issue.1, pp.881-943, 2011.
DOI : 10.1007/s00205-010-0378-7
URL : https://hal.archives-ouvertes.fr/inria-00437765
, Approximations of effective coefficients in stochastic homogenization, Annales de l?Institut Henri Poincare (B) Probability and Statistics, vol.40, issue.2, pp.153-165, 2004.
DOI : 10.1016/j.anihpb.2003.07.003
, Finite volume approximation of the effective diffusion matrix: the case of independent bond disorder. Ann. Inst. H. PoincaréP r o b a b, pp.39-505, 2003.
, Inégalité de Harnack elliptique sur les graphes, Colloq. Math, vol.72, pp.19-37, 1997.
, Conductivity of a two-dimensional two-phase system Russian version: Zh, Sov. Phys. JETP Eksp. Teor. Fiz, vol.32, pp.63-65, 1970.
, Analysis of the heterogeneous multiscale method for elliptic homogenization problems, J. Amer. Math. Soc, vol.18, pp.121-156, 2005.
, REDUCTION OF THE RESONANCE ERROR ??? PART 1: APPROXIMATION OF HOMOGENIZED COEFFICIENTS, Mathematical Models and Methods in Applied Sciences, vol.21, issue.08
DOI : 10.1142/S0218202511005507
URL : https://hal.archives-ouvertes.fr/inria-00457159
, 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
, An optimal error estimate in stochastic homogenization of discrete elliptic equations, The Annals of Applied Probability, vol.22, issue.1
DOI : 10.1214/10-AAP745
URL : https://hal.archives-ouvertes.fr/inria-00457020
, Quantitative estimates in stochastic homogenization of linear elliptic equations
, A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media, Journal of Computational Physics, vol.134, issue.1, pp.169-189, 1997.
DOI : 10.1006/jcph.1997.5682
, Homogenization of Differential Operators and Integral Functionals, 1994.
DOI : 10.1007/978-3-642-84659-5
, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.40-3647, 2003.
DOI : 10.1016/S0020-7683(03)00143-4
, AVERAGING OF RANDOM OPERATORS, Mathematics of the USSR-Sbornik, vol.37, issue.2, pp.188-202, 1979.
DOI : 10.1070/SM1980v037n02ABEH001948
, AVERAGING OF DIFFERENCE SCHEMES, Mathematics of the USSR-Sbornik, vol.57, issue.2, pp.351-369, 1987.
DOI : 10.1070/SM1987v057n02ABEH003072
, The diffusion limit for reversible jump processes onZ d with ergodic random bond conductivities, Communications in Mathematical Physics, vol.80, issue.1, pp.90-117, 1983.
DOI : 10.1007/BF01209386
, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M -matrix, Math. Comp, pp.31-148, 1977.
, Estimates on the variance of some homogenization problems, 1998.
, Approximation of the effective conductivity of ergodic media by periodization. Probab. Theory Relat, pp.225-258, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00138275
, Boundary value problems with rapidly oscillating random coefficients, in Random fields I, II (Esztergom, 1979), Colloq, Math. Soc. János Bolyai, vol.27, pp.835-873, 1981.
, The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size, Journal of Computational Physics, vol.222, issue.2, pp.556-572, 2007.
DOI : 10.1016/j.jcp.2006.07.034
, Averaging of symmetric diffusion in random medium, Siberian Mathematical Journal, vol.34, issue.No. 4, pp.167-180, 1986.
DOI : 10.1007/BF00969174