Long Distance Correlation Structure of Intermittency in Parabolic Anderson Models
نویسنده
چکیده
We study the long distance correlation structure of intermittency in par-abolic 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 uctuations. We prove that for a suitable class of probability distributions, the higher moments of the Green's functions do not decay faster than the rst 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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