Wegner estimate for random divergence-type operators monotone in the randomness
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Date
2021-06-19
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Abstract
In this note, a Wegner estimate for random divergence-type operators that are monotone in the randomness is proven. The proof is based on a recently shown unique continuation estimate for the gradient and the ensuing eigenvalue liftings. The random model which is studied here contains quite general random perturbations, among others, some that have a non-linear dependence on the random parameters.
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Random divergence-type operators, Wegner estimate, Eigenvalue lifting, Breather type