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math.AP2021
Asymptotic expansion of the annealed Green's function and its derivatives
Matthias Keller, Marius Lemm
We consider random elliptic equations in dimension at small ellipticity contrast. We derive the large-distance asymptotic expansion of the annealed Green's function up to…
math.AP2021
Optimal Hardy weights on the Euclidean lattice
Matthias Keller, Marius Lemm
We investigate the large-distance asymptotics of optimal Hardy weights on , , via the super solution construction. For the free discrete Laplacian, the Hardy…