Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour

Details Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour Stable limit laws for the parabolic Anderson model between quenched and annealed behaviour

2011-03-24

arxiv.org/abs/1103.4848v1

Mathematics

Probability

13 pages, 1 figure

Scientific paper

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.

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