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.


Advisor(s):
Mountford, Thomas
Year:
2007
Publisher:
Lausanne, EPFL
Keywords:
Note:
2000 Mathematics Subject Classification: Primary 60K35, 60H15, 60F10; Secondary 60H30, 60G15, 82C43
Other identifiers:
urn: urn:nbn:ch:bel-epfl-thesis3674-2
Laboratories:


Note: The status of this file is: EPFL only


 Record created 2006-09-20, last modified 2018-10-07

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