Sublinear variance for directed last-passage percolation
Probability
2010-09-14 v3
Abstract
A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage percolation with Gaussian vertex weights has a sublinear variance property. We also consider other vertex weight distributions. Corresponding results are obtained for the ground state of the `directed polymers in a random environment' model.
Cite
@article{arxiv.0909.1352,
title = {Sublinear variance for directed last-passage percolation},
author = {B. T. Graham},
journal= {arXiv preprint arXiv:0909.1352},
year = {2010}
}
Comments
Revised version. Accepted: Journal of Theoretical Probability