@article{AIHPB_2003__39_3_505_0, author = {Caputo, Pietro and Ioffe, Dmitry}, title = {Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {505--525}, publisher = {Elsevier}, volume = {39}, number = {3}, year = {2003}, doi = {10.1016/S0246-0203(02)00016-X}, mrnumber = {1978989}, zbl = {1014.60094}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/S0246-0203(02)00016-X/} }
TY - JOUR AU - Caputo, Pietro AU - Ioffe, Dmitry TI - Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2003 SP - 505 EP - 525 VL - 39 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S0246-0203(02)00016-X/ DO - 10.1016/S0246-0203(02)00016-X LA - en ID - AIHPB_2003__39_3_505_0 ER -
%0 Journal Article %A Caputo, Pietro %A Ioffe, Dmitry %T Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder %J Annales de l'I.H.P. Probabilités et statistiques %D 2003 %P 505-525 %V 39 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S0246-0203(02)00016-X/ %R 10.1016/S0246-0203(02)00016-X %G en %F AIHPB_2003__39_3_505_0
Caputo, Pietro; Ioffe, Dmitry. Finite volume approximation of the effective diffusion matrix : the case of independent bond disorder. Annales de l'I.H.P. Probabilités et statistiques, Tome 39 (2003) no. 3, pp. 505-525. doi : 10.1016/S0246-0203(02)00016-X. http://archive.numdam.org/articles/10.1016/S0246-0203(02)00016-X/
[1] Weak convergence for reversible random walks in a random environment, Ann. Probab. 21 (1993) 1427-1440. | MR | Zbl
,[2] The ergodic theorem for additive cocycles of Zd or Rd, Ergodic Theory Dynam. Systems 11 (1991) 19-39. | MR | Zbl
, ,[3] An invariance principle for reversible Markov processes. Applications to random motions in random environments, J. Statist. Phys. 55 (1989) 787-855. | MR | Zbl
, , , ,[4] Large deviations and concentration properties for ∇φ interface models, Probab. Theory Related Fields 117 (2000) 49-111. | Zbl
, , ,[5] Motion by mean curvature from the Ginzburg-Landau ∇φ interface model, Comm. Math. Phys. 185 (1997) 1-36. | Zbl
, ,[6] Gibbs Measures and Phase Transitions, de Gruyter Studies in Math., 9, 1988. | MR | Zbl
,[7] G. Giacomin, S. Olla, H. Spohn, Equilibrium fluctuation for a Ginzburg-Landau interface model, Ann. Probab., to appear.
[8] Elliptic Partial Differential Equations of Second Order, Springer, 1983. | MR | Zbl
, ,[9] Homogenization of Differential Operators and Integral Functionals, Springer, 1994. | MR | Zbl
, , ,[10] Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions, Comm. Math. Phys. 104 (1986) 1-19. | MR | Zbl
, ,[11] The method of averaging and walks in inhomogeneous environments, Russian Math. Surveys 40 (2) (1985) 73-145. | MR | Zbl
,[12] C. Landim, S. Olla, S.R.S. Varadhan, Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process, Ann. Probab., to appear. | MR | Zbl
[13] Intersection of Random Walks, Probability and its Applications, Birkhäuser Boston, 1991. | MR | Zbl
,[14] The diffusion limit for reversible jump processes on Zd with ergodic random bond conductivities, Comm. Math. Phys. 90 (1983) 27-68. | MR | Zbl
,[15] An Lp estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Sc. Norm. Sup. Pisa 17 (1963) 189-206. | Numdam | MR | Zbl
,[16] Lectures on Homogenization of Diffusion Processes in Random Fields, Ecole Polytechnique, 1994.
,[17] H. Owhadi, Approximation of the effective conductivity of ergodic media by periodization, Preprint, 2002. | MR
[18] Diffusions with random coefficients, in: Statistics and Probability: Essays in Honor of C.R. Rao, North-Holland, Amsterdam, 1982, pp. 547-552. | MR | Zbl
, ,[19] A new look at independence, Ann. Probab. 24 (1996) 1-34. | MR | Zbl
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