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

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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… Click to show full abstract

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.

Keywords: extended harper; line; transition line; harper model; line extended; spectral transition

Journal Title: Journal of Functional Analysis
Year Published: 2018

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