Parabolic Harnack inequality and local limit theorem for percolation clusters
نویسندگان
چکیده
منابع مشابه
Parabolic Harnack Inequality and Local Limit Theorem for Percolation Clusters
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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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2009
ISSN: 1083-6489
DOI: 10.1214/ejp.v14-587