References

1. E. D. Andjel. Invariant measures for the zero range process. Ann. Probab. 10 (1982), 525-547. Math. Review 83j:60106
2. P. Antal, A. Pisztora. On the chemical distance for supercritical Bernoulli percolation. Ann. Probab. 24 (1996), 1036-1048. Math. Review 98b:60168
3. D. Ben-Avraham, S. Havlin. Diffusion and Reactions in Fractals and Disordered Systems. Cambridge University Press, Cambridge (2000). Math. Review 2003h:82001
4. O. Benois, C.Kipnis, C. Landim. Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes. Stochastic Process. Appl. 55 (1995), 65-89. Math. Review 96a:60077.
5. H. Brézis, M.G. Crandall. Uniqueness of solutions of the initial--value problem for u_t- ΔΦ(u)=0. J. Math. Pures and appl. 58 (1979), 153-163. Math. Review 80e:35029
6. N. Berger, M. Biskup. Quenched invariance principle for simple random walk on percolation clusters. Probab. Theory Related Fields 137 (2007), 83-120. Math. Review 2007m:60085
7. M. Biskup, T.M. Prescott. Functional CLT for random walk among bounded random conductances. Electronic Journal of Probability 12 (2007), 1323-1348. Math. Review 2009d:60336
8. C-C. Chang, C. Landim, S. Olla. Equilibrium fluctuations of asymmetric simple exclusion processes in dimension d≥3. Probab. Theory Relat. Fields 119 (2001), 381–409. Math. Review 2002e:60157
9. A. De Masi, P. Ferrari, S. Goldstein, W.D. Wick. An invariance principle for reversible Markov processes. Applications to random motions in random environments. J. Statis. Phys. 55 (1985), 787-855. Math. Review 91e:60107
10. J.D. Deuschel, A. Pisztora. Surface order large deviations for high--density percolation. Probab. Theory Related Fields 104 (1996), 467-482. Math. Review 97d:60053
11. A. Faggionato. Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit. Electron. J. Probab. 13 (2008), 2217-2247. Math. Review number not available
12. A. Faggionato. Bulk diffusion of 1D exclusion process with bond disorder. Markov Processes and Related Fields 13 (2007), 519-542. Math. Review 2008j:60230
13. A. Faggionato, M. Jara, C. Landim. Hydrodynamic limit of one dimensional subdiffusive exclusion processes with random conductances. Probab. Theory Related Fields 144 (2009), 633-667. Math. Review number not available
14. A. Faggionato, F. Martinelli. Hydrodynamic limit of a disordered lattice gas. Probab. Theory and Related Fields 127 (2003), 535-608. Math. Review 2004i:82041
15. J. Fritz. Hydrodynamics in a symmetric random medium. Comm. Math. Phys. 125 (1989), 13-25. Math. Review 91c:82060
16. L. Fontes, C.M. Newman. First Passage Percolation for Random Colorings of Z^d. Ann. Appl. Probab. 3 (1993), 746-762. Math. Review 94k:60156a
17. L. Fontes, C.M. Newman. Correction: First Passage Percolation for Random Colorings of Z^d. Ann. Appl. Probab. 4 (1994), 254-254. Math. Review 94k:60156b
18. P. Goncalves, M. Jara. Scaling limit of gradient systems in random environment. J. Stat. Phys. 131 (2008), 691-716. Math. Review 2009d:82068
19. P.Goncalves, M. Jara. Density fluctuations for a zero-range process on the percolation cluster. Electron. Commun. Probab. 14 (2009), 382-395. Math. Review number not available
20. G. Grimmett. Percolation. Second edition. Springer, Berlin (1999). Math. Review 2001a:60114
21. M. Jara. Hydrodynamic limit for a zero-range process in the Sierpinski gasket. Comm. Math. Phys. 288 (2009) 773-797. Math. Review number not available
22. M. Jara, C. Landim. Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion. Ann. Inst. H. Poincaré, Prob. et Stat. 42 (2006), 567-577. Math. Review 2008h:60406
23. H. Kesten. Percolation theory for mathematicians. Progress in Probability and Statistics, Vol. 2, Birkhauser, Boston, (1982). Math. Review 84i:60145
24. C. Kipnis, C. Landim. Scaling limits of interacting particle systems. Springer, Berlin (1999). Math. Review 2000i:60001
25. C. Kipnis, S.R.S. Varadhan. Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusion. Commun. Math. Phys. 104 (1986), 1-19. Math. Review 87i:60038
26. C. Landim, T. Franco. Hydrodynamic limit of gradient exclusion processes with conductances. Archive for Rational Mechanics and Analysis 195 (2010), 409-439. Math. Review number not available
27. C. Landim, M. Mourragui. Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume. Ann. Inst. H. Poincaré, Prob. et Stat. 33 (1997), 65-82. Math. review 98e:60159
28. T.M. Liggett. Interacting particle systems. Springer, New York (1985). Math. Review 86e:60089
29. P. Mathieu. Quenched invariance principles for random walks with random conductances}. J. Stat. Phys. 130 (2008), 1025-1046. Math. Review 2009b:82040
30. P. Mathieu, A.L. Piatnitski. Quenched invariance principles for random walks on percolation clusters}. Proceedings of the Royal Society A 463 (2007), 2287-2307. Math. Review 2008e:82033
31. J. Quastel. Diffusion in disordered media. In Proceedings in Nonlinear Stochastic PDEs (1996), T. Funaki and W. Woyczinky eds, Springer, New York, 65-79. Math. Review 97k:60278
32. J. Quastel. Bulk diffusion in a system with site disorder. Ann. Probab. 34 (2006), 1990-2036. Math. Review 2007i:60133
33. T. Seppäläinen. Translation Invariant Exclusion Processes. Available online
34. V. Sidoravicius, A.-S. Sznitman. Quenched invariance principles for walks on clusters of percolation or among random conductances. Probab. Theory Related Fields 129 (2004), 219–244. Math. Review 2005d:60155
35. F.J. Valentim. Hydrodynamic limit of gradient exclusion processes with conductances on Z^d. Preprint (2009).
36. S.R.S. Varadhan. Nonlinear diffusion limit for a system with nearest neighbor interactions II. Asymptotic Problems in Probability Theory: Stochastic Models and Diffusion on Fractals , edited by K. Elworthy and N. Ikeda, Pitman Research Notes in Mathematics 283 , Wiley, 75-128 (1994). Math. Review 97a:60144
37. J.L. Vázquez. The porous medium equation: mathematical theory. Clarendon Press, Oxford (2007). Math. Review 2008e:35003