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Expansion of the spectrum in the weak disorder regime for random operators in continuum space

Expansion of the spectrum in the weak disorder regime for random operators in continuum space

We study the spectrum of random ergodic Schrödinger-type operators in the weak disorder regime. We give upper and lower bounds on how much the spectrum expands at its bottom for very general perturbations. The background operator is assumed to be a periodic elliptic differential operator on [Formula: see text], not …