Abstract
We consider a model for random walks on random environments (RWRE) with a random subset of double-struck Zd as the vertices, and uniform transition probabilities on 2d points (the closest in each of the coordinate directions). We prove that the velocity of such random walks is almost surely zero, give partial characterization of transience and recurrence in the different dimensions and prove a Central Limit Theorem (CLT) for such random walks, under a condition on the distance between coordinate nearest neighbors.
Original language | English |
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Pages (from-to) | 727-755 |
Number of pages | 29 |
Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
Volume | 51 |
Issue number | 2 |
DOIs | |
State | Published - 1 May 2015 |
Externally published | Yes |
Keywords
- Discrete point processes
- Random walk in random environment
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty