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

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.