244 citations · 716 across the 28 of their papers we have counts for
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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…
Multiplicative Jensen's formula and quantitative global theory of one-frequency Schrödinger operators
Lingrui Ge, Svetlana Jitomirskaya, Jiangong You +1
We introduce the concept of dual Lyapunov exponents, leading to a multiplicative version of the classical Jensen's formula for one-frequency analytic Schrödinger cocycles. This for…
Dry Ten Martini Problem in the non-critical case
Artur Avila, Jiangong You, Qi Zhou
We solve the Dry Ten Martini Problem in the non-critical case, i.e., all possible spectral gaps are open for almost Mathieu operators with .
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…