Random walks and exclusion processes among random conductances on random infinite clusters : homogenization and hydrodynamic limit

@inproceedings{Faggionato2008RandomWA,
title={Random walks and exclusion processes among random conductances on random infinite clusters : homogenization and hydrodynamic limit},
author={Alessandra Faggionato},
year={2008}
}

We consider a stationary and ergodic random field {ω(b) : b ∈ Ed} parameterized by the family of bonds in Z , d > 2. The random variableω(b) is thought of as the conductance of bond b and it ranges in a finite interval [0, c0]. Assuming that the set of bonds with positive conductance has a unique infinite cluster C (ω), we prove homogenization results for the random walk among random conductances on C (ω). As a byproduct, applying the general criterion of [F] leading to the hydrodynamic limit… CONTINUE READING

Hydrodynamic limit for the simple exclusion process on non – homogeneous graphs . IMPA preprint Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion

C. Landim. C. Kipnis

Annales de l ’ institut Henri Poincaré ( B ) Probabilités et Statistiques • 2006

Pyatnitskii. Homogenization of random singular structures and random measures

A.L.V.V. Zhikov

(Russian) Izv. Ross. Akad. Nauk Ser. Mat. 70, • 2006