3 citations · 8 across the 5 of their papers we have counts for
5 papers
Stability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states
Lingrui Ge, Svetlana Jitomirskaya, Xin Zhao
We prove absolute continuity of the integrated density of states for frequency-independent analytic perturbations of the non-critical almost Mathieu operator under arithmetic condi…
Arithmetic version of anderson localization for quasiperiodic Schrödinger operators with even cosine type potentials
Lingrui Ge, Jiangong You, Xin Zhao
We propose a new method to prove Anderson localization for quasiperiodic Schrödinger operators and apply it to the quasiperiodic model considered by Sinai and Fröhlich-Spencer-Witt…
Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles
Lingrui Ge, Yiqian Wang, Jiangong You +1
We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space with . In contrast, the Lyapunov exponent has been…
Hölder regularity of the integrated density of states for quasi-periodic long-range operators on
Lingrui Ge, Jiangong You, Xin Zhao
We prove the Hölder continuity of the integrated density of states for a class of quasi-periodic long-range operators on with large trigonometric polynomial potentia…
Holder Continuity of Absolutely Continuous Spectral Measure for Multi-frequency Schrodinger Operators
Xin Zhao
We establish sharp results on the modulus of continuity of the distribution of the spectral measure for multi-frequency Schrodinger operators with Diphantine frequencies and small…