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Aug 1, 2019 at 11:07 comment added Stephen Paul Thanks! And If we assume the function $f$ is smooth and sufficiently regular, could we find something more about $\tilde B_{t}$ ? I'm confused why a Brownian motion independent of both $W$ and $B$ would appear in this question.
Aug 1, 2019 at 8:16 history answered Martin Hairer CC BY-SA 4.0