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Quenched Invariance Principles for Random Walks with Random Conductances

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Abstract

We prove an almost sure invariance principle for a random walker among i.i.d. conductances in ℤd, d≥2. We assume conductances are bounded from above but we do not require that they are bounded from below.

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  1. Université de Provence, CMI, 39 rue Joliot-Curie, 13013, Marseille, France

    P. Mathieu

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  1. P. Mathieu
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Correspondence to P. Mathieu.

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Mathieu, P. Quenched Invariance Principles for Random Walks with Random Conductances. J Stat Phys 130, 1025–1046 (2008). https://doi.org/10.1007/s10955-007-9465-z

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  • DOI: https://doi.org/10.1007/s10955-007-9465-z

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