Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155884 | Stochastic Processes and their Applications | 2012 | 28 Pages |
Abstract
We consider a random walk in an i.i.d. non-negative potential on the dd-dimensional integer lattice. The walk starts at the origin and is conditioned to hit a remote location yy on the lattice. We prove that the expected time under the annealed path measure needed by the random walk to reach yy grows only linearly in the distance from yy to the origin. In dimension 1 we show the existence of the asymptotic positive speed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Elena Kosygina, Thomas Mountford,