Behavior of random walk on discrete point processes
Probability
2015-09-08 v2
Abstract
We consider a model for random walks on random environments (RWRE) with random subset of Z^d as the vertices, and uniform transition probabilities on 2d points (two "coordinate nearest points" in each of the d coordinate directions). We give partial characterization of transience and recurrence in the different dimensions. Finally we prove Central Limit Theorem (CLT) for such random walks, under a condition on the distance between coordinate nearest points.
Cite
@article{arxiv.1110.5740,
title = {Behavior of random walk on discrete point processes},
author = {Noam Berger and Ron Rosenthal},
journal= {arXiv preprint arXiv:1110.5740},
year = {2015}
}
Comments
33 pages, 3 figures, this is the article version of the masters thesis of the second author, appearing at arXiv:1005.1398