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Energy Discontinuity of the Lyapunov Exponent for Quasiperiodic Schrödinger Operators with Gevrey Potentials
We construct quasiperiodic Schrödinger operators with Gevrey potentials for which the Lyapunov exponent is discontinuous in the spectral energy. More precisely, let \(α\in\R\setminus\mathbb Q\) satisfy the Diophantine condition \(\|kα\|_{\T}\geqγ|k|^{-τ}\) for all \(k\in\Z\setminus\{0\}\), with \(γ>
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