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 ...

Let $L$ be a linear, second order parabolic operator in divergence form and let $U$ be a bounded domain in $E^{n + 1}$. The Dirichlet problem for $Lu = 0$ is solved ...

Funding: This research has received a grant from the CNES (number 4800001159). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the ...