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arXiv · 1001.4702

Invariance principle for the random conductance model with unbounded conductances

M. T. Barlow·J. -D. Deuschel
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Abstract

We study a continuous time random walk $X$ in an environment of i.i.d. random conductances $\mu_e\in[1,\infty)$. We obtain heat kernel bounds and prove a quenched invariance principle for $X$. This holds even when ${\mathbb{E}}\mu_e=\infty$.

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M. T. Barlow, J. -D. Deuschel. 2010-01-26. Invariance principle for the random conductance model with unbounded conductances. https://doi.org/10.1214/09-aop481

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