Behavior of random walk on discrete point processes

Details Behavior of random walk on discrete point processes Behavior of random walk on discrete point processes

2011-10-26

arxiv.org/abs/1110.5740v1

Mathematics

Probability

34 pages, 1 figure, this is the article version of the masters thesis of the second author, appearing at arXiv:1005.1398

Scientific paper

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.

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