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A Central Limit Theorem for isotropic flows

M. Cranston and Yves Le Jan

Stochastic Processes and their Applications, 2009, vol. 119, issue 10, 3767-3784

Abstract: We establish that the image of a measure, which satisfies a certain energy condition, moving under a standard isotropic Brownian flow will, when properly scaled, have an asymptotically normal distribution under almost every realization of the flow. We derive the same result for an initial point mass moved by an isotropic Kraichnan flow.

Keywords: Kraichnan; flows; Central; Limit; Theorem (search for similar items in EconPapers)
Date: 2009
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