01-335 G\"unter Stolz

Strategies in Localization Proofs for One-Dimensional Random Schr\"odinger Operators (386K, Postscript) Sep 24, 01

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Abstract. Recent results on localization, both exponential and dynamical, for various models of one-dimensional, continuum, random Schr\"odinger operators are reviewed. This includes Anderson models with indefinite single site potentials, the Bernoulli-Anderson model, the Poisson model, and the random displacement model. Among the tools which are used to analyze these models are generalized spectral averaging techniques and results from inverse spectral and scattering theory. A discussion of open problems is included.

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