(Sub)critical Operators and Spectral Capacities of Rational Frequency Approximants

We consider one-frequency quasi-periodic Schrödinger operators with analytic potentials. Denoting by $S_+$ the union of the spectra taken over the phase, we study continuity of logarithmic capacities of $S_+$ upon rational approximation. We show that if the Lyapunov exponent is zero on the spectrum,...

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Bibliographic Details
Date:2024
Main Authors: Hatinoğlu, Burak, Jitomirskaya, Svetlana
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2024
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1087
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry