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Abstract: Spectral averaging techniques for one-dimensional discrete Schroedingeroperators are revisited and extended. In particular, simultaneous averagingover several parameters is discussed. Special focus is put on proving lowerbounds on the density of the averaged spectral measures. These Wegner typeestimates are used to analyze stability properties for the spectral types ofJacobi matrices under local perturbations.



Autor: Rafael del Rio, Carmen Martinez, Hermann Schulz-Baldes

Fuente: https://arxiv.org/







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