An Asymptotic Comparison of Two Time-homogeneous PAM Models
classification
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math.PR
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solutionsanalyticandersonasymptoticcomparisondifferencefunctionsintensity
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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 e^2 and is non-random.
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