36 citations · 389 across the 48 of their papers we have counts for
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The spectra of surface Maryland model for all phases
Wencai Liu
We study the discrete Schrödinger operators on with surface potential of the form , and on $\e…
A lower bound on the Lyapunov exponent for the generalized Harper's model
Svetlana Jitomirskaya, Wencai Liu
We obtain a lower bound for the Lyapunov exponent of a family of discrete Schrödinger operators , that incorporates…
Arithmetic Spectral Transitions for the Maryland Model
Svetlana Jitomirskaya, Wencai Liu
We give a precise description of spectra of the Maryland model for all values of parameters. We introduce an arithmetically defi…
The Möbius transformation of continued fractions with bounded upper and lower partial quotients
Wencai Liu
Let : be the nondegenerate Möbius transformation with integer entries. We get a bound of the continued fraction of by the upper and lower bo…
Universal hierarchical structure of quasiperiodic eigenfunctions
Svetlana Jitomirskaya, Wencai Liu
We determine exact exponential asymptotics of eigenfunctions and of corresponding transfer matrices of the almost Mathieu operators for all frequencies in the localization regime.…
Proof of the HRT conjecture for almost every (1,3) configuration
Wencai Liu
Based on the proof of Demeter \We prove that for almost every (1,3) configuration, there is no linear dependence between the associated time-frequency translates of any $f\in L^2(\…