52 citations · 247 across the 19 of their papers we have counts for
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math.PR2013★ 46 cited
Harnack inequalities on weighted graphs and some applications to the random conductance model
Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk in…
math.PR2013★ 52 cited
Invariance principle for the random conductance model in a degenerate ergodic environment
Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
We study a continuous time random walk, , on in an environment of random conductances taking values in . We assume that the law of the conductances…