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- W4307835597 abstract "We establish a quantitative version of strong almost reducibility result for $mathrm{sl}(2,mathbb{R})$ quasi-periodic cocycle close to a constant in Gevrey class. We prove that, for the quasi-periodic Schrodinger operators with small Gevrey potentials, the length of spectral gaps decays sub-exponentially with respect to its labelling, the long range duality operator has pure point spectrum with sub-exponentially decaying eigenfunctions for almost all phases and the spectrum is an interval for discrete Schrodinger operator acting on $ mathbb{Z}^d $ with small separable potentials. All these results are based on a refined KAM scheme, and thus are perturbative." @default.
- W4307835597 created "2022-11-06" @default.
- W4307835597 creator A5059805734 @default.
- W4307835597 date "2022-10-28" @default.
- W4307835597 modified "2023-09-30" @default.
- W4307835597 title "Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications" @default.
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- W4307835597 doi "https://doi.org/10.1088/1361-6544/ac98ed" @default.
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