We study the heat kernel and the Green’s function on the infinite supercritical percolation cluster in dimension d ≥ 2 and prove a quantitative homogenization theorem for these functions with an ...
This is a preview. Log in through your library . Abstract This paper is the companion article to [Ann. Probab. 39 (2011) 779-856]. We consider a discrete elliptic equation on the d-dimensional lattice ...
Course syllabus: In many applications, like e.g. porous media or composite materials, one needs to model heterogeneous media. Often this leads to studying partial differential equations with ...
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