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Harnack inequalities on weighted graphs and some applications to the random conductance model (1312.5473v6)

Published 19 Dec 2013 in math.PR and math.AP

Abstract: 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 $X$ in an environment of ergodic random conductances taking values in $[0, \infty)$ satisfying some moment conditions.

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