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Very Strong Disorder for the Parabolic Anderson model in low dimensions
We study the free energy of the Parabolic Anderson Model, a time-continuous model of directed polymers in random environment. We prove that in dimension 1 and 2, the... -
Overlaps and Pathwise Localization in the Anderson Polymer Model
We consider large time behavior of typical paths under the Anderson polymer measure. If $P$ is the measure induced by rate $\kappa,$ simple, symmetric random walk on...
