215 citations · 217 across the 4 of their papers we have counts for
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math.PR2003★ 2 cited
Some remarks on the elliptic Harnack inequality
Martin T. Barlow
This note gives three short results concerning the elliptic Harnack inequality (EHI), in the context of random walks on graphs. The first is that the EHI implies polynomial growth…
math.PR2003★ 215 cited
Random walks on supercritical percolation clusters
Martin T. Barlow
We obtain Gaussian upper and lower bounds on the transition density q_t(x,y) of the continuous time simple random walk on a supercritical percolation cluster C_{\infty} in the Eucl…