3 papers
math.SP2026
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…
math.DS2025
Sharp Spectral Gaps, Arithmetic Localization, and Reducibility via Resonance Analys
Lingrui Ge, Jiangong You, Qi Zhou
This paper establishes several sharp spectral results for analytic quasiperiodic Schrodinger operators. Key contributions include: (1) exact exponential decay rates for spectral ga…
math.DS2025
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 Diopha…