35 citations · 68 across the 13 of their papers we have counts for
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math.DS2005★ 1 cited
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…
math-ph2005★ 5 cited
Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
Michael Goldstein, Wilhelm Schlag
We develop some non-perturbative methods for studying the IDS in almost Mathieu and related models. Assuming positive Lyapunov exponents, and assuming that the potential function i…