Abstract
We study random Anderson Hamiltonians in Euclidean spaces with a long-range particle-media interaction potential
{\mathfrak{u}(r)=r^{-A}}
. Improving earlier results, for any
{A>2d}
, we establish spectral and strong dynamical localization with sub-exponential decay of eigenfunction correlators, both in the strong disorder regime and at low energies.
Multi-fidelity machine-learning with uncertainty quantification and Bayesian optimization for materials design: Application to ternary random alloys
