Invariance principle for the random conductance model
We study a continuous time random walk X in an environment of i.i.d. random conductances {Mathematical expression} in {Mathematical expression} . We assume that {Mathematical expression}, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the...
| Main Authors: | , , , |
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| Format: | Journal article |
| Published: |
2013
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| Summary: | We study a continuous time random walk X in an environment of i.i.d. random conductances {Mathematical expression} in {Mathematical expression} . We assume that {Mathematical expression}, so that the bonds with strictly positive conductances percolate, but make no other assumptions on the law of the μ . We prove a quenched invariance principle for X, and obtain Green's functions bounds and an elliptic Harnack inequality. © 2012 Springer-Verlag. |
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