01-235 Wei-Min Wang
Long distance correlation structure of intermittency in parabolic Anderson models (249K, ps file) 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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