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Paper detail

Large deviation principle of Freidlin-Wentzell type for pinned diffusion processes

Since T. Lyons invented rough path theory, one of its most successful applications is a new proof of Freidlin-Wentzell's large deviation principle for diffusion processes. In this paper we extend this method to the case of pinned diffusion processes under a mild ellipticity assumption. Besides rough path theory, our main tool is quasi-sure analysis, which is a kind of potential theory in Malliavin calculus.

preprint2013arXivOpen access
Yuzuru Inahama
math.PR
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Yuzuru Inahama

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