论文标题

非关键光谱特性的稳定性i:状态综合密度的算术绝对连续性

Stability of the non-critical spectral properties I: arithmetic absolute continuity of the integrated density of states

论文作者

Ge, Lingrui, Jitomirskaya, Svetlana, Zhao, Xin

论文摘要

我们证明,在算术条件下,在频率条件下,在频率几乎几乎是MATHIEU操作员的频率非依赖性分析扰动中,状态的综合密度的绝对连续性。

We prove absolute continuity of the integrated density of states for frequency-independent analytic perturbations of the non-critical almost Mathieu operator under arithmetic conditions on frequency.

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