Infoscience

Thesis

On large deviations regimes for random media models

We investigate the behavior of probabilities of large deviations above the mean versus large deviations below the mean for random additive functionals in a variety of random media models. Among others, we treat the large deviations of the point-to-hyperplane first-passage percolation on Zd and both the last-passage and the first-passage oriented percolation in Zd-1 × Z+. We also consider the large deviations of the parabolic Anderson model with white noise potential with respect to the Lyapunov exponent of the model.

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