1 citations · 1 across the 9 of their papers we have counts for
4 papers · 2 filters
Square-Root Profiles and Sharp Fourier Decay of Quasiperiodic Spectral Measures
Zhenfu Wang, Qi Zhou
We study spectral measures of one-dimensional quasiperiodic Schrödinger operators. For subcritical Schrödinger operator with Diophantine frequency, we prove sharp measurable-set bo…
The Ultimate Ishii-Pastur Theorem for Whole-Line Ergodic Block Jacobi Operators
Zhenfu Wang, Bei Zhang, Qi Zhou
We establish an ultimate Ishii-Pastur theorem for whole-line ergodic block Jacobi operators. We prove that, for almost every realization, the restriction of a maximal spectral meas…
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…