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math.DS2026
Monotonicity, global symplectification and the stability of Dry Ten Martini Problem
Xianzhe Li, Disheng Xu, Qi Zhou
We prove that, for every irrational frequency and every analytic Type I potential, each supercritical spectral energy satisfying the gap-labelling condition is an endpoint of an op…
math.DS2021
Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications
Xianzhe Li
We establish a quantitative version of strong almost reducibility result for quasi-periodic cocycle close to a constant in Gevrey class. We prove that,…