231 citations · 266 across the 9 of their papers we have counts for
9 papers
Hölder continuity of the integrated density of states for quasi-periodic Jacobi block matrices
Rui Han, Wilhelm Schlag
In this paper, we prove Hölder continuity of the integrated density of states for discrete quasiperiodic Jacobi block matrices with Diophantine frequencies. The Hölder…
The cubic NLS on the line with an inverse square potential
Joachim Krieger, Wilhelm Schlag, Klaus Widmayer
We establish modified scattering for solutions of the cubic NLS on the line with a repulsive inverse square potential and small localized data. The method is based on a comparison…
Hölder continuity of the integrated density of states for Liouville frequencies
Rui Han, Wilhelm Schlag
We prove Hölder continuity of the Lyapunov exponent and the integrated density of states at energies that satisfy for general analytic pot…
Non-perturbative localization for quasi-periodic Jacobi block matrices
Rui Han, Wilhelm Schlag
We prove non-perturbative Anderson localization for quasi-periodic Jacobi block matrix operators assuming non-vanishing of all Lyapunov exponents. The base dynamics on tori $\mathb…
Uniqueness of excited states to in three dimensions
Alex Cohen, Zhenhao Li, Wilhelm Schlag
We prove the uniqueness of several excited states to the ODE , , and for the model nonlinearity $f(y) =…
Effective multi-scale approach to the Schrödinger cocycle over a skew shift base
Rui Han, Marius Lemm, Wilhelm Schlag
We prove a conditional theorem on the positivity of the Lyapunov exponent for a Schrödinger cocycle over a skew shift base with a cosine potential and the golden ratio as frequency…