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math-ph2024
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…
math-ph2023★ 1 cited
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…
math-ph2018★ 6 cited
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…