14 citations · 15 across the 4 of their papers we have counts for
5 papers
A Continuum Version of the Kunz-Souillard Approach to Localization in One Dimension
David Damanik, Günter Stolz
We consider continuum one-dimensional Schrödinger operators with potentials that are given by a sum of a suitable background potential and an Anderson-type potential whose single-s…
Localization for Discrete One Dimensional Random Word Models
David Damanik, Robert Sims, Günter Stolz
We consider Schrödinger operators in whose potentials are obtained by randomly concatenating words from an underlying set according to some probability m…
Lyapunov exponents in continuum Bernoulli-Anderson models
David Damanik, Robert Sims, Gunter Stolz
We study one-dimensional, continuum Bernoulli-Anderson models with general single-site potentials and prove positivity of the Lyapunov exponent away from a discrete set of critical…
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…
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…