Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156102 | Stochastic Processes and their Applications | 2009 | 21 Pages |
Abstract
We consider random walk with a nonzero bias to the right, on the infinite cluster in the following percolation model: take i.i.d. bond percolation with retention parameter pp on the so-called infinite ladder, and condition on the event of having a bi-infinite path from −∞−∞ to ∞∞. The random walk is shown to be transient, and to have an asymptotic speed to the right which is strictly positive or zero depending on whether the bias is below or above a certain critical value which we compute explicitly.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Marina Axelson-Fisk, Olle Häggström,