5 citations · 23 across the 15 of their papers we have counts for
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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…
Ballistic transport for one-dimensional quasiperiodic Schrödinger operators
Lingrui Ge, Ilya Kachkovskiy
In this paper, we show that one-dimensional discrete multi-frequency quasiperiodic Schrödinger operators with smooth potentials demonstrate ballistic motion on the set of energies…
The precise regularity of the Lyapunov exponent for Cos-type quasiperiodic Schrödinger cocycles with large couplings
Jiahao Xu, Lingrui Ge, Yiqian Wang
In this paper, we study the regularity of the Lyapunov exponent for quasiperiodic Schrödinger cocycles with cos-type potentials, large coupling constants, and a fixed Diophan…
Arithmetic version of Anderson localization via reducibility
Lingrui Ge, Jiangong You
The arithmetic version of Anderson localization (AL), i.e., AL with explicit arithmetic description on both the localization frequency and the localization phase, was first given b…