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Lifschitz singularities for periodic operators plus random potentials

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Abstract

UsingX-bounding (lower bounds by Laplacians with mixed boundary conditions and discrete analogs), we obtain the Lifschitz exponent at the bottom of the spectrum for random operators of typeH ω =T+V ω, withT a (periodic) generator of a positivity-preserving semigroup, extending results by Kirsch and Simon.

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  1. Institutul de Fizica si Tehnologia Materialelor, Bucuresti-Magurele, Romania

    G. A. Mezincescu

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  1. G. A. Mezincescu
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Mezincescu, G.A. Lifschitz singularities for periodic operators plus random potentials. J Stat Phys 49, 1181–1190 (1987). https://doi.org/10.1007/BF01017565

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