Quenched large deviations for diffusions in a random Gaussian shear flow drift

Mathematics – Probability

Scientific paper

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29 pages

Scientific paper

We prove a full large deviations principle in large time, for a diffusion
process with random drift V, which is a centered Gaussian shear flow random
field. The large deviations principle is established in a ``quenched'' setting,
i.e. is valid almost surely in the randomness of V.

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