Abstract
We consider a system of random walks or directed polymers interacting weakly with an environment which is random in space and time. In spatial dimensionsd>2, we establish that the behavior is diffusive with probability one. The diffusion constant is not renormalized by the interaction.
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Imbrie, J.Z., Spencer, T. Diffusion of directed polymers in a random environment. J Stat Phys 52, 609–626 (1988). https://doi.org/10.1007/BF01019720
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DOI: https://doi.org/10.1007/BF01019720