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arXiv · 2609.37438

The Dry Ten Martini Problem for subcritical Type I operators

Lingrui Ge
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Abstract

We supply the details of the subcritical dry Ten Martini statement announced in [6, Remark 1.3]: for every irrational frequency, every subcritical Type I energy with resonant rotation number is an endpoint of an open spectral gap. The proof combines the all-frequency Puig argument developed there with quantitative almost reducibility. A different proof was recently given by Li [7].

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Lingrui Ge. 2026-09-29. The Dry Ten Martini Problem for subcritical Type I operators. https://arxiv.org/abs/2609.37438

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