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Harnack inequalities on weighted graphs and some applications to the random conductance model |
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| Authors: | |
| Institution: | 1.Rheinische Friedrich-Wilhelms Universit?t Bonn,Bonn,Germany;2.Technische Universit?t Berlin,Berlin,Germany |
| 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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