Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials (Q1708567)
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| Language | Label | Description | Also known as |
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| English | Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials |
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Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials (English)
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23 March 2018
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Summary: We give a criterion implying subcritical behavior for quasi-periodic Schrödinger operators where the potential sampling function is given by a trigonometric polynomial. Subcritical behavior, in the sense of Avila's global theory, is known to imply purely absolutely continuous spectrum for all irrational frequencies and all phases.
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zero Lyapunov exponent
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Avila global theory
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absolutely continuous spectrum
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