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Dynamical localization and eigenvalue asymptotics: power-law unbounded discrete operators

Dynamical localization and eigenvalue asymptotics: power-law unbounded discrete operators

We establish a notion of Strong Power-Law SULE, proving that such an assumption implies uniform power-law dynamical localization. As an application of this study, we obtain a result on dynamical localization for long-range hopping lattice operators with uniform electric field, where the hopping coefficients decay slowly. We also prove, on …