A remark on a result of Xia Chen

preprint2015arXivOpen access

Abstract

We consider the parabolic Anderson model which is driven by a Gaussian noise fractional in time and having certain scaling property in the spatial variables. Recently, Xia Chen has obtained exact Lyapunov exponent for all moments of positive integer orders. In this note, we explain how to extend Xia Chen's result for all moments of order pp, where pp is any real number at least 2.

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