Type I energies with positive Lyapunov exponent and gap-labelling condition bound open spectral gaps for irrational frequencies and trig-polynomial potentials, making the all-gaps-open property robust for perturbed almost-Mathieu operators.
Y., and You, J., Kotani theory, Puig’s argument, and stability of The Ten Martini Problem, preprint (2023), arXiv:2308.09321
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Monotonicity, global symplectification and the stability of Dry Ten Martini Problem
Type I energies with positive Lyapunov exponent and gap-labelling condition bound open spectral gaps for irrational frequencies and trig-polynomial potentials, making the all-gaps-open property robust for perturbed almost-Mathieu operators.