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math-ph2000★ 1 cited
Localization for One Dimensional, Continuum, Bernoulli-Anderson Models
David Damanik, Robert Sims, Günter Stolz
We use scattering theoretic methods to prove strong dynamical and exponential localization for one dimensional, continuum, Anderson-type models with singular distributions; in part…
math-ph2000★ 14 cited
A generalization of Gordon's theorem and applications to quasiperiodic Schrödinger operators
David Damanik, Günter Stolz
We prove a criterion for absence of eigenvalues for one-dimensional Schrödinger operators. This criterion can be regarded as an -version of Gordon's theorem and it has a broad…