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math.PR2019
Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters
Paul Dario, Chenlin Gu
We study the heat kernel and the Green's function on the infinite supercritical percolation cluster in dimension and prove a quantitative homogenization theorem for thes…
math.PR2019
An efficient algorithm for solving elliptic problems on percolation clusters
Chenlin Gu
We present an efficient algorithm to solve elliptic Dirichlet problems defined on the cluster of supercritical Bernoulli percolation, as a generalization of the iter…