27 citations · 166 across the 39 of their papers we have counts for
5 papers · 1 filter
On Liouville theorems for Dirichlet forms
Bobo Hua, Matthias Keller, Daniel Lenz +1
We study harmonic functions for general Dirichlet forms. First we review consequences of Fukushima's ergodic theorem for the harmonic functions in the domain of the gener…
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…
Agmon estimates for Schrödinger operators on graphs
Matthias Keller, Felix Pogorzelski
We prove decay estimates for generalized eigenfunctions of discrete Schrödinger operators on weighted infinite graphs in the spirit of Agmon.
Eigenvalue asymptotics and unique continuation of eigenfunctions on planar graphs
Michel Bonnefont, Sylvain Golenia, Matthias Keller
We study planar graphs with large negative curvature outside of a finite set and the spectral theory of Schr{ö}dinger operators on these graphs. We obtain estimates on the first an…
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…