An Asymptotic Comparison of Two Time-homogeneous PAM Models (1809.05796v1)

Published 16 Sep 2018 in math.AP and math.PR

Abstract: Both Wick-Ito-Skorokhod and Stratonovich interpretations of the parabolic Anderson model (PAM) lead to solutions that are real analytic as functions of the noise intensity e, and, in the limit e->0, the difference between the two solutions is of order e² and is non-random.

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