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Spreading in potentials random in space and time

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If you have a question about this talk, please contact Mustapha Amrani .

Mathematics and Physics of Anderson localization: 50 Years After

For time independent random potentials Anderson localization may take place. For time dependent potentials, Anderson localization is destroyed and hyper-transport, namely transport faster than ballistic, may take place. The spreading for time dependent random ppotentials is classified into universality classes characterized by the dependence of the diffusion coefficient on velocity, in the limit of high velocity. The most interesting behavior is found in one dimension. The work was motivated by experiments in optics and in atom optics.

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