3 papers
math.DS2006
On non-perturbative Anderson localization for C^αpotentials generated by shifts and skew-shifts
Jackson Chan, Michael Goldstein, Wilhelm Schlag
In this paper we address the question of proving Anderson localization (AL) for the operator [H(x,ω)ψ](n) := - \vp(n+1) - \vp(n-1) + V\bigl(T^n_ωx\bigr)ψ(n), n\in\mathbb Z where T:…
math.DS2005
On resonances and the formation of gaps in the spectrum of quasi-periodic Schroedinger equations
Michael Goldstein, Wilhelm Schlag
We consider one-dimensional difference Schroedinger equations on the discrete line with a potential generated by evaluating a real-analytic potential function V(x) on the one-dimen…
math-ph2005
On Schroedinger operators with dynamically defined potentials
Michael Goldstein, Wilhelm Schlag
We review some of the work by the authors on this topic. In particular, we discuss the recent paper "Fine properties of the IDS and a quantitative separation property of the Dirich…