1 citations · 1 across the 4 of their papers we have counts for
6 papers
Admissible Fourier Lengths, KAM Reducibility, and Spectral Applications
Xueyin Wang, Jiangong You
We develop a perturbative KAM reducibility theory for one-frequency cocycles based on an admissible Fourier length . The regularity relevant to th…
Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators
Xianzhe Li, Zhenfu Wang, Jiangong You +1
We introduce an operator-theoretic framework for long-range operators over general dynamical systems with analytic hopping and small potential. By establishing a partially hyperbol…
Anderson localization of long-range quasi-periodic operators via Dynamical Rigidity
Zhenfu Wang, Jiangong You, Qi Zhou
We establish Anderson localization for long-range quasi-periodic operators with large trigonometric potentials and Diophantine frequencies, the proof is based on a novel dynamical…
Exact local distribution of the absolutely continuous spectral measure
Xianzhe Li, Jiangong You, Qi Zhou
It is well-established that the spectral measure for one-frequency Schrödinger operators with Diophantine frequencies exhibits optimal -Hölder continuity within the absolutely…
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…
Spectrum of Hatano-Nelson model with strictly ergodic potentials
Xueyin Wang, Zhenfu Wang, Jiangong You +1
We provide a precise formula for the spectrum of the Hatano-Nelson model with strictly ergodic potentials in terms of its Lyapunov exponent. As applications, one clearly observes t…