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

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