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math-ph2023★ 7 cited
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 .
math-ph2023
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…