The speed of biased random walk on percolation clusters

• DOI: 10.1007/s00440-003-0258-2
• Publication Date: 2004-10-15T00:42:04Z
• Authors: Noam Berger; Nina Gantert; Yuval Peres
• Keywords: Percolation (cognitive psychology); Continuous-time random walk; Loop-erased random walk

We consider biased random walk on supercritical percolation clusters in $\Z^2$. 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.<br/>This is a corrected version where the result is only proved for percolation clusters on Z^2; 23 Pages, 3 Figures<br/>