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math.PR2002
Large deviations for Brownian motion in a random scenery
A. Asselah, F. Castell
We prove large deviations principles in large time, for the Brownian occupation time in random scenery. The random scenery is constant on unit cubes, and consist of i.i.d. bounded…
math.PR2002
Existence of quasi-stationary measures for asymmetric attractive particle systems on $\ZZ^d$
A. Asselah, F. Castell
We show the existence of non-trivial quasi-stationary measures for conservative attractive particle systems on $\ZZ^d$ conditioned on avoiding an increasing local set $\A$. Moreove…
math.PR2002
Quenched large deviations for diffusions in a random Gaussian shear flow drift
A. Asselah, F. Castell
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 pr…