A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2008; you can also visit the original URL.
The file type is
We consider the random walk on supercritical percolation clusters in Z d . 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.doi:10.1214/ejp.v14-587 fatcat:a5m7xpds2vdffn4q3dq524vhvi