Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
Probability
2010-12-14 v1 Mathematical Physics
math.MP
Abstract
The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied. The moment asymptotics of the total mass of the solution is derived.The results show that the total mass of the solution concentrates on a small set in the space of configuration.
Keywords
Cite
@article{arxiv.1012.2507,
title = {Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential},
author = {Ryoki Fukushima and Naomasa Ueki},
journal= {arXiv preprint arXiv:1012.2507},
year = {2010}
}
Comments
18 pages