发表机构
Beijing International Center for Mathematical Research, Peking University（北京大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明了亚临界Type I算子中，每个无理频率下具有共振旋转数的亚临界能量均为开谱隙端点，结合全频率Puig论证与定量几乎可约性完成证明。
AI 中文摘要
我们提供了[6, Remark 1.3]中宣布的亚临界干十马提尼陈述的细节：对于每个无理频率，每个具有共振旋转数的亚临界Type I能量都是一个开谱隙的端点。证明结合了该文中发展的全频率Puig论证与定量几乎可约性。Li [7]最近给出了一个不同的证明。
英文摘要
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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