Crossing velocities for an annealed random walk in a random potential
Probability
2012-01-04 v2 Mathematical Physics
math.MP
Abstract
We consider a random walk in an i.i.d. non-negative potential on the d-dimensional integer lattice. The walk starts at the origin and is conditioned to hit a remote location y on the lattice. We prove that the expected time under the annealed path measure needed by the random walk to reach y grows only linearly in the distance from y to the origin. In dimension one we show the existence of the asymptotic positive speed.
Keywords
Cite
@article{arxiv.1103.0515,
title = {Crossing velocities for an annealed random walk in a random potential},
author = {Elena Kosygina and Thomas Mountford},
journal= {arXiv preprint arXiv:1103.0515},
year = {2012}
}
Comments
29 pages