Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour
Probability
2012-11-06 v2
Abstract
We consider the solution to the parabolic Anderson model with homogeneous initial condition in large time-dependent boxes. We derive stable limit theorems, ranging over all possible scaling parameters, for the rescaled sum over the solution depending on the growth rate of the boxes. Furthermore, we give sufficient conditions for a strong law of large numbers.
Keywords
Cite
@article{arxiv.1103.4848,
title = {Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour},
author = {Jürgen Gärtner and Adrian Schnitzler},
journal= {arXiv preprint arXiv:1103.4848},
year = {2012}
}
Comments
14 pages, 1 figure