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arXiv · 1110.5740

Behavior of random walk on discrete point processes

Noam Berger·Ron Rosenthal
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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.

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Noam Berger, Ron Rosenthal. 2011-10-26. Behavior of random walk on discrete point processes. https://doi.org/10.1214/13-aihp593

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