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arxiv: 1208.2674 · v1 · pith:PW2QYJU2new · submitted 2012-08-13 · 🧮 math.SP · math-ph· math.MP

Exponential dynamical localization for the almost Mathieu operator

classification 🧮 math.SP math-phmath.MP
keywords operatoralmostexponentialmathieuboundeddiophantinedynamicalfrequency
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We prove that the exponential moments of the position operator stay bounded for the supercritical almost Mathieu operator with Diophantine frequency.

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