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Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
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We study regularity properties of the Lyapunov exponent L of quasiperiodic operators with analytic potential, under no assumptions on the Diophantine class of the frequency. We prove that L is jointly continuous, in frequency and energy, at every irrational frequency.
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Cited by 2 Pith papers
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Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models
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Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
Quasiperiodically varying the driving Hamiltonian in a 1D conformal field theory produces analytically solvable heating and non-heating phases, with an exact phase transition line.
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