The long-range Anderson model with weakly decaying off-diagonal terms

Abstract: We review results on the localization properties and eigenvalue statistics of long-range Anderson models in the discrete setting. This includes the fractional Anderson model, a long-range operator with polynomially decaying off-diagonal terms, and diagonal randomness. We discuss the effects of non-locality on the localization properties of the model, in particular, on dynamical localization. The interest in these models lies in their association to stable Levy processes, random walks with long jumps and anomalous diffusion.

mathematical physicsspectral theory

Audience: researchers in the topic

Munich-Copenhagen-Santiago Mathematical Physics seminar

Series comments: The MAS-MP seminar series has now changed name to MCS-MP.

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