- 00-64 Robert Sims, G\"unter Stolz
- Localization in one dimensional random media: A scattering theoretic
Feb 7, 00
(auto. generated ps),
of related papers
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.