Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2015
- DOI:
- 10.48550/arXiv.1509.05279
- arXiv:
- arXiv:1509.05279
- Bibcode:
- 2015arXiv150905279M
- Keywords:
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- Mathematical Physics
- E-Print:
- to appear in the Journal of Spectral Theory