00-64 Robert Sims, G\"unter Stolz

Localization in one dimensional random media: A scattering theoretic approach (74K, LaTeX2e) Feb 7, 00

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Abstract. This is a new version of a paper originally posted in August 1999. We use scattering theoretic methods to prove exponential localization for random displacement models in one dimension. The new version includes a full proof of a conjecture made in the original paper regarding inverse scattering for one-dimensional divergence-type operators. In particular, a new asymptotic formula for the corresponding Weyl-Titchmarsh m-functions is established.

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