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arxiv: 1512.06892 · v1 · pith:4A5354I3new · submitted 2015-12-21 · 🧮 math.SP · math-ph· math.MP

Non-Perturbative Localization with Quasiperiodic Potential in Continuous Time

classification 🧮 math.SP math-phmath.MP
keywords almostcontinuouslocalizationpotentialanalyticandersonconsiderdiophantine
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We consider continuous one-dimensional multifrequency Schr\"odinger operators, with analytic potential, and prove Anderson localization in the regime of positive Lyapunov exponent for almost all phases and almost all Diophantine frequencies.

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