加权图上的Harnack不等式及其在随机电导模型中的若干应用
概率论
2019-01-17 v6 偏微分方程分析
摘要
我们在具有无界权重的图上建立了椭圆型和抛物型Harnack不等式。作为应用，我们证明了在满足某些矩条件、取值于的遍历随机电导环境中，连续时间随机游走的局部极限定理。
引用
@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}
}
备注
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