Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
- Fukushima, Ryoki
- Ueki, Naomasa
Publication date
February 2011
DOI Publisher
Elsevier Inc. ISSN
0022-1236 Citation count (estimate)
8Abstract
AbstractThe 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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