5 citations · 23 across the 15 of their papers we have counts for
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The Dry Ten Martini Problem for subcritical Type I operators
Lingrui Ge
We supply the details of the subcritical dry Ten Martini statement announced in [6, Remark 1.3]: for every irrational frequency, every subcritical Type I energy with resonant rotat…
Intrinsic Symplectic Structure and Sharp Arithmetic Universality
Lingrui Ge, Svetlana Jitomirskaya
We show that formal eigenvalue equations of analytic one-frequency Schröd-inger operators admit intrinsic analytic $Sp(2k,\C)$ structures, where is the T-acceleration in g…
Kotani theory, Puig's argument, and stability of The Ten Martini Problem
Lingrui Ge, Svetlana Jitomirskaya, Jiangong You
We solve the ten martini problem (Cantor spectrum with no condition on irrational frequencies, previously only established for the almost Mathieu) for a large class of one-frequenc…
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…