Subcritical behavior for quasi-periodic Schrodinger cocycles with trigonometric potentials

Abstract

We give a criterion implying subcritical behavior for quasi-periodic Schrodinger 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.

Publisher

European Mathematical Society

Publication Date

2-2-2018

Publication Title

Journal of Spectral Theory

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.4171/JST/192

Keywords

Zero Lyapunov exponent, Avila global theory, Absolutely continuous spectrum

Language

English

Format

text

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