Continuity of Measure of the Spectrum for Schrödinger Operators with Potentials Driven by Shifts and Skew-shifts on Tori
نویسنده
چکیده
We study discrete Schrödinger operators on l2(Z) with γ-Lipschitz potentials defined on higher dimensional torus (Td, T ), where T is a shift or skew-shift with frequency α. We show that under the positive Lyapunov exponent condition, measure of the spectrum at irrational frequency is the limit of measures of spectra at rational approximations.
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