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math.DS2022
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…
math.DS2020★ 1 cited
Polynomial decay of the gap length for C^k quasi-periodic Schrodinger operators and spectral application
Ao Cai, Xueyin Wang
For the quasi-periodic Schrödinger operators in the local perturbative regime where the frequency is Diophantine and the potential is sufficiently small depending on the Diop…