Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
arXiv:1012.2507 · doi:10.1016/j.jfa.2010.10.016
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.
18 pages