On the Fröhlich-Spencer-Estimate in the theory of anderson localization.

Jürgen Pöschel

Displaying similar documents to “On the Fröhlich-Spencer-Estimate in the theory of anderson localization.”

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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.

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A comprehensive proof of localization for continuous Anderson models with singular random potentials

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We study continuous Anderson Hamiltonians with non-degenerate single site probability distribution of bounded support, without any regularity condition on the single site probability distribution. We prove the existence of a strong form of localization at the bottom of the spectrum, which includes Anderson localization (pure point spectrum with exponentially decaying eigenfunctions) with finite multiplicity of eigenvalues, dynamical localization (no spreading of wave packets under the...