Harnack inequalities on weighted graphs and some applications to the random conductance model
Probability
2019-01-17 v6 Analysis of PDEs
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 in an environment of ergodic random conductances taking values in satisfying some moment conditions.
Keywords
Cite
@article{arxiv.1312.5473,
title = {Harnack inequalities on weighted graphs and some applications to the random conductance model},
author = {Sebastian Andres and Jean-Dominique Deuschel and Martin Slowik},
journal= {arXiv preprint arXiv:1312.5473},
year = {2019}
}
Comments
49 pages, 2 figures, companion paper to arXiv:1306.2521, in this version minor technical gaps in the iteration arguments have been closed and some typos have been removed