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• W2950230537 abstract "We consider discrete one-dimensional Schrodinger operators with quasi-Sturmian potentials. We present a new approach to the trace map dynamical system which is independent of the initial conditions and establish a characterization of the spectrum in terms of bounded trace map orbits. Using this, it is shown that the operators have purely singular continuous spectrum and their spectrum is a Cantor set of Lebesgue measure zero. We also exhibit a subclass having purely $alpha$-continuous spectrum. All these results hold uniformly on the hull generated by a given potential." @default.
• W2950230537 created "2019-06-27" @default.
• W2950230537 creator A5056482809 @default.
• W2950230537 creator A5067729747 @default.
• W2950230537 date "2001-05-23" @default.
• W2950230537 modified "2023-09-27" @default.
• W2950230537 title "Uniform spectral properties of one-dimensional quasicrystals, IV. Quasi-Sturmian potentials" @default.
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• W2950230537 hasPublicationYear "2001" @default.
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