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arxiv: 1708.03085 · v1 · pith:ZMYCYDG4new · submitted 2017-08-10 · 🧮 math-ph · math.MP

Spectral transition line for the extended Harper's model in the positive Lyapunov exponent regime

classification 🧮 math-ph math.MP
keywords linetransitionexponentextendedharperlyapunovmodelpositive
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We study the spectral transition line of the extended Harper's model in the positive Lyapunov exponent regime. We show that both pure point spectrum and purely singular continuous spectrum occur for dense subsets of frequencies on the transition line.

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