English

Dry Ten Martini Problem in the non-critical case

Mathematical Physics 2024-06-25 v2 Dynamical Systems math.MP Spectral Theory

Abstract

We solve the Dry Ten Martini Problem in the non-critical case, i.e., all possible spectral gaps are open for almost Mathieu operators with λ±1\lambda\ne \pm 1.

Cite

@article{arxiv.2306.16254,
  title  = {Dry Ten Martini Problem in the non-critical case},
  author = {Artur Avila and Jiangong You and Qi Zhou},
  journal= {arXiv preprint arXiv:2306.16254},
  year   = {2024}
}
R2 v1 2026-06-28T11:16:54.731Z