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arxiv: 1801.08826 · v1 · pith:CQHLNKGKnew · submitted 2018-01-26 · 🧮 math.DS

Some Spectrum Property of Periodic Coupling AMO Operator

classification 🧮 math.DS
keywords couplingmodelperiodicspectrumcontinuoussomeabsolutelycondition
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We study spectrum of the periodic coupling AMO model. Meantime there establish the continuity of Lyapunov exponent about the the periodic coupling of AMO model. Through the dynamical method can find a interval the AMO model only have absolutely continuous spectrum. At the same time, some condition make the periodic coupling of AMO model is singular continuous.

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