6 citations · 7 across the 7 of their papers we have counts for
7 papers
On the small denominator problem for generalized Minkowski--Funk transforms
Rui Han, Yaghoub Rahimi
Rubin's generalized Minkowski--Funk transforms on the sphere give rise, for irrational radii , to a small denominator problem governed by the asy…
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…
On the Ballistic Transport for limit-periodic Jacobi Matrices
Rui Han, Moises Gomez Solis
Motivated by Open Problem 17 in Damanik-Fillman's manuscript , we study the decay rate of limit-periodic approximation such that ballistic transport persists in the limit-periodic…
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…
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(…
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…
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…