Scaling limits for sub-ballistic biased random walks in random conductances
Probability
2016-09-07 v2
Abstract
We consider biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. We obtain a functional Law of Large Numbers for the position of the walker, properly rescaled. Moreover, we state a functional Central Limit Theorem where an atypical process, related to the Fractional Kinetics, appears in the limit.
Cite
@article{arxiv.1601.00889,
title = {Scaling limits for sub-ballistic biased random walks in random conductances},
author = {Alexander Fribergh and Daniel Kious},
journal= {arXiv preprint arXiv:1601.00889},
year = {2016}
}