Quenched large deviations for diffusions in a random Gaussian shear flow   drift
  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. 
A. Asselah, F. Castell