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Anderson localization for a generalized Maryland model with potentials given by skew shifts
Journal of Spectral Theory ( IF 1.0 ) Pub Date : 2021-09-20 , DOI: 10.4171/jst/373
Jia Shi 1 , Xiaoping Yuan 1
Affiliation  

In this paper, we proved Anderson localization for the following long-range operator $$ H=\tan\pi\Big(x_0+my_0+\frac{m(m-1)}{2}\omega\Big) \delta_{mn}+\epsilon S_\phi, $$ which generalized the Maryland model to potentials given by skew shifts.

中文翻译:

具有由斜移给出的电位的广义马里兰模型的安德森定位

在本文中,我们证明了以下长程算子的 Anderson 定位 $$ H=\tan\pi\Big(x_0+my_0+\frac{m(m-1)}{2}\omega\Big) \delta_{ mn}+\epsilon S_\phi, $$ 将马里兰模型推广到斜移给出的电位。
更新日期:2021-10-07
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