6 citations · 9 across the 7 of their papers we have counts for
7 papers
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…
Global structure of the spectrum of periodic Non-hermitian Jacobi operators
Hui Lu, Jiangong You
The global structure of the spectrum of periodic non-Hermitian Jacobi operators is described by the discriminant and its stationary points. We also give necessary and sufficient co…
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…
Non-Self-Adjoint Quasi-periodic Operators with complex spectrum
Zhenfu Wang, Jiangong You, Qi Zhou
We give a precise and complete description on the spectrum for a class of non-self-adjoint quasi-periodic operators acting on which contains the Sarnak's mod…
Absolute continuity of the integrated density of states in the localized regime
Jing Wang, Xu Xu, Jiangong You +1
We establish the absolute continuity of the integrated density of states (IDS) for quasi-periodic Schrödinger operators with a large trigonometric potential and Diophantine frequen…
Winding number, density of states and acceleration
Xueyin Wang, Zhenfu Wang, Jiangong You +1
Winding number and density of states are two fundamental physical quantities for non-self-adjoint quasi-periodic Schrödinger operators, which reflect the asymptotic distribution of…