19 citations · 77 across the 23 of their papers we have counts for
5 papers · 1 filter
Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials
Rui Han, C. A. Marx
We quantify the coupling asymptotics for the Lyapunov-exponent of a one-frequency quasi-periodic Schrödinger operator with analytic potential sampling function. The result refines…
Full measure reducibility and localization for Jacobi operators: a topological criterion
Rui Han, Svetlana Jitomirskaya
We establish a topological criterion for connection between reducibility to constant rotations and dual localization, for the general family of analytic quasiperiodic Jacobi operat…
Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy
Rui Han, Svetlana Jitomirskaya
In this paper we obtain upper quantum dynamical bounds as a corollary of positive Lyapunov exponent for Schrödinger operators , where $ϕ: \…
Dry Ten Martini problem for non self-dual extended Harper's model
Rui Han
In this paper we prove the dry version of the Ten Martini problem: Cantor spectrum with all gaps open, for the extended Harper's model in the non self-dual region for Diophantine f…
Uniform localization is always uniform
Rui Han
In this note we show that if a family of ergodic Schrödinger operators on with continuous potentials have uniformly localized eigenfunctions then these eigenfunct…