Talk by Constanza Rojas-Molina
On November 6th, 2024, Constanza Rojas-Molina (CY Cergy Paris Université), will give a talk about "The long-range Anderson model with weakly decaying off-diagonal terms" as part of the research seminar applied stoachastics of the FernUniversität in Hagen.
Abstract
We review results on the localization properties 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.