Rui Han

activity

20182026

most citedEffective multi-scale approach to the Schrödinger cocycle over a skew shift base

6 citations · 7 across the 7 of their papers we have counts for

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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 $L (ω, E)$ and the integrated density of states at energies that satisfy $L (ω, E) > 4 κ (ω, E) \cdot β (ω) \geq 0$ for general analytic pot…

math.SP2024

Sharp localization on the first supercritical stratum for Liouville frequencies

Rui Han

We establish Anderson localization for Schrödinger operators with even analytic potentials on the first supercritical stratum for Liouville frequencies in the sharp regime $\{E: L(…