Direct observation of nondiffusive motion of a Brownian particle

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M \times \mathbb{R} \rightarrow S^2

, where

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is dieomorphic to a two dimensional sphere and admits an action of

SO(2)

by isometries. We assume that metric on

M

can be written as $dr^2+f^2(r)d\theta ...

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Direct observation of nondiffusive motion of a Brownian particle

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