8 research outputs found

    Generalized eigenvalue-counting estimates for the Anderson model

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    We generalize Minami's estimate for the Anderson model and its extensions to nn eigenvalues, allowing for nn arbitrary intervals and arbitrary single-site probability measures with no atoms. As an application, we derive new results about the multiplicity of eigenvalues and Mott's formula for the ac-conductivity when the single site probability distribution is H\"older continuous.Comment: Minor revisio

    Poisson statistics of eigenvalues in the hierarchical Dyson model

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