Parabolic Harnack Inequality and Local Limit Theorem for Percolation Clusters
نویسندگان
چکیده
We consider the random walk on supercritical percolation clusters in Z . Previous papers have obtained Gaussian heat kernel bounds, and a.s. invariance principles for this process. We show how this information leads to a parabolic Harnack inequality, a local limit theorem and estimates on the Green’s function.
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تاریخ انتشار 2008