- 01-235 Wei-Min Wang
- Long distance correlation structure of intermittency in parabolic Anderson models
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Jun 30, 01
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Abstract. We study the long distance correlation structure of intermittency in parabolic
Anderson models. We use the Green's function formulation and
the analytical frame work established in {W1-4}. Contrary to the case in
{W1-4}, this is the regime of large fluctuations. We prove that for a suitable
class of probability distributions, the higher moments of the Green's functions do
not decay faster than the first moment. The Green's functions therefore exhibit
an intermittent structure. This result on long distance asymptotics is complementary
to other known results on intermittency, which pertain to long time asymptotics.
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