93 citations · 292 across the 31 of their papers we have counts for
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Stability of Spectral Types of Quasi-Periodic Schrödinger Operators With Respect to Perturbations by Decaying Potentials
David Damanik, Xianzhe Li, Jiangong You +1
We consider perturbations of quasi-periodic Schrödinger operators on the integer lattice with analytic sampling functions by decaying potentials and seek decay conditions under whi…
Almost reducibility and oscillatory growth of Sobolev norms
Zhenguo Liang, Zhiyan Zhao, Qi Zhou
For 1D quantum harmonic oscillator perturbed by a time quasi-periodic quadratic form of , we show its almost reducibility. The growth of Sobolev norms of so…
Isospectrum of non-self-adjoint almost-periodic Schrodinger operators
Xueyin Wang, Jiangong You, Qi Zhou
For non-self-adjoint almost-periodic Schrödinger operators, a criterion is given to guarantee that they have both the same spectrum and same Lyapunov exponents with the discrete fr…
Almost-periodic ground state of the non-self-adjoint Jacobi operator and its applications
Xing Liang, Honngze Wang, Qi Zhou
We study the ground states of the one-dimensional non-self-adjoint Jacobi operators in the almost periodic media by using the method of dynamical systems. We show the existence of…
Nevanlinna class, Dirichlet series and Szegö's problem
Kunyu Guo, Jiaqi Ni, Qi Zhou
This paper is associated with Nevanlinna class, Dirichlet series and Szegö's problem in infinitely many variables. As we will see, there is a natural connection between these topic…