Some Spectrum Property of Periodic Coupling AMO Operator
arXiv:1801.08826
Abstract
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.