Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction
Probability
2016-08-14 v1
Abstract
We consider a ballistic random walk in an i.i.d. random environment that does not allow retreating in a certain fixed direction. We prove an invariance principle (functional central limit theorem) under almost every fixed environment. The assumptions are nonnestling, at least two spatial dimensions, and a moment for the step of the walk uniformly in the environment. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.
Keywords
Cite
@article{arxiv.math/0703787,
title = {Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction},
author = {Firas Rassoul-Agha and Timo Seppäläinen},
journal= {arXiv preprint arXiv:math/0703787},
year = {2016}
}
Comments
Published at http://dx.doi.org/10.1214/009117906000000610 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)