Abstract
We consider biased random walk on supercritical percolation clusters in ℤ2. We show that the random walk is transient and that there are two speed regimes: If the bias is large enough, the random walk has speed zero, while if the bias is small enough, the speed of the random walk is positive.
Original language | English |
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Pages (from-to) | 221-242 |
Number of pages | 22 |
Journal | Probability Theory and Related Fields |
Volume | 126 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2003 |
Keywords
- Percolation
- Random walk