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research article
Crossing velocities for an annealed random walk in a random potential
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 1 we show the existence of the asymptotic positive speed. (C) 2011 Elsevier B.V. All rights reserved.
Type
research article
Web of Science ID
WOS:000298899900012
Authors
Publication date
2012
Published in
Volume
122
Start page
277
End page
304
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 23, 2012
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