Discrete harmonic functions in Lipschitz domains
Probability
2019-04-23 v2
Abstract
We prove the existence and uniqueness of a discrete nonnegative harmonic function for a random walk satisfying finite range, centering and ellipticity conditions, killed when leaving a globally Lipschitz domain in . Our method is based on a systematic use of comparison arguments and discrete potential-theoretical techniques.
Cite
@article{arxiv.1901.00637,
title = {Discrete harmonic functions in Lipschitz domains},
author = {Sami Mustapha and Mohamed Sifi},
journal= {arXiv preprint arXiv:1901.00637},
year = {2019}
}
Comments
11 pages