Abstract
We consider a random displacements model in a Euclidean space with an infinite-range, polynomially decaying interaction potential, without assuming any symmetry properties of the latter, and give an elementary proof of eigenvalue concentration estimates without resorting to a more traditional Wegner-type analysis or explicit ground state energy minimization. In the strong disorder/semi-classical regime, we prove exponential spectral and dynamical localization, with sub-exponential decay of the eigenfunction correlators. Prior works focused on compactly supported interactions.
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