Some Abstract Wegner Estimates with Applications |
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| Authors: | Mostafa Sabri |
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| Institution: | 1. Institut de Mathématiques de Jussieu, Université Paris Diderot Paris 7, Batiment Sophie Germain, 75013, Paris, France
2. Department of Mathematics, Faculty of Science, Cairo University, Cairo, 12613, Egypt
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| Abstract: | We prove some abstract Wegner bounds for random self-adjoint operators. Applications include elementary proofs of Wegner estimates for discrete and continuous Anderson Hamiltonians with possibly sparse potentials, as well as Wegner bounds for quantum graphs with random edge length or random vertex coupling. We allow the coupling constants describing the randomness to be correlated and to have quite general distributions. |
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