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• W3099208766 abstract "The Wegner orbital model is a class of random operators introduced by Wegner to model the motion of a quantum particle with many internal degrees of freedom (orbitals) in a disordered medium. We consider the case when the matrix potential is Gaussian, and prove three results: localisation at strong disorder, a Wegner-type estimate on the mean density of eigenvalues, and a Minami-type estimate on the probability of having multiple eigenvalues in a short interval. The last two results are proved in the more general setting of deformed block-Gaussian matrices, which includes a class of Gaussian band matrices as a special case. Emphasis is placed on the dependence of the bounds on the number of orbitals. As an additional application, we improve the upper bound on the localisation length for one-dimensional Gaussian band matrices." @default.
• W3099208766 created "2020-11-23" @default.
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• W3099208766 date "2017-07-11" @default.
• W3099208766 modified "2023-10-14" @default.
• W3099208766 title "On the Wegner Orbital Model" @default.
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• W3099208766 doi "https://doi.org/10.1093/imrn/rnx145" @default.
• W3099208766 hasPublicationYear "2017" @default.
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