Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential

Details Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential

2010-12-12

arxiv.org/abs/1012.2507v1

Journal of Functional Analysis 2011, Volume 260, Issue 3, 724-744

Mathematics

Probability

18 pages

Scientific paper

10.1016/j.jfa.2010.10.016

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.

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