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Aug 18, 2017 at 21:18 vote accept Nikolayevich
Jul 18, 2017 at 3:13 comment added Ian @Koltchinskii My answer is already along these lines; one derives the LDP for the scaled Wiener process and then uses a Girsanov type argument to reduce white noise perturbations of a dynamical system to the Wiener process case.
Jul 18, 2017 at 1:24 comment added Nikolayevich I actually wondered if we can resolve this problem using Girsanov transformation type of argument ...
Jul 13, 2017 at 22:25 comment added ofer zeitouni The asymptotics you wrote is meaningful when $T/z^2\to 0$. To me this looks like a relation. Anyway, you already got two answers in different asymptotic regimes, unless you clarify what you are after let me guess that you won't get a third.
Jul 13, 2017 at 17:56 comment added Nikolayevich There is no relations, we want nonasymptotic result analogous to the Brownian motion version in the (new) P.S. part in the question
Jul 13, 2017 at 17:55 history edited Nikolayevich CC BY-SA 3.0
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Jul 12, 2017 at 4:26 comment added ofer zeitouni What is the relation between $T$ and $z$ in the asymptotic you are after?
Jul 11, 2017 at 21:55 answer added Nate Eldredge timeline score: 3
Jul 11, 2017 at 19:48 answer added Ian timeline score: 3
Jul 11, 2017 at 18:27 history asked Nikolayevich CC BY-SA 3.0