A note on the Martin boundary of the simple random walk on an example of directed graph
Probability
2012-03-16 v1
Abstract
In this note, we study the Martin boundary of the simple random walk on an example of directed graph. More precisely, the Martin boundary is shown to be trivial, i.e. there is no non-constant positive harmonic functions. The proof involves fine estimates of the Green function which are summarized in this note.
Keywords
Cite
@article{arxiv.1203.3314,
title = {A note on the Martin boundary of the simple random walk on an example of directed graph},
author = {Basile de Loynes},
journal= {arXiv preprint arXiv:1203.3314},
year = {2012}
}