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arXiv · 1312.5473

Harnack inequalities on weighted graphs and some applications to the random conductance model

Sebastian Andres·Jean-Dominique Deuschel·Martin Slowik
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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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Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik. 2013-12-19. Harnack inequalities on weighted graphs and some applications to the random conductance model. https://doi.org/10.1007/s00440-015-0623-y

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