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Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces
Journal of Mathematical Physics ( IF 1.2 ) Pub Date : 2021-06-11 , DOI: 10.1063/5.0042994
Ilya Kachkovskiy 1 , Stanislav Krymski 2 , Leonid Parnovski 3 , Roman Shterenberg 4
Affiliation  

We consider quasiperiodic operators on Zd with unbounded monotone sampling functions (“Maryland-type”), which are not required to be strictly monotone and are allowed to have flat segments. Under several geometric conditions on the frequencies, lengths of the segments, and their positions, we show that these operators enjoy Anderson localization at large disorder.

中文翻译:

马里兰型带扁平片的准周期算子的微扰对角化

我们考虑准周期算子 Zd具有无界单调采样函数(“马里兰型”),不需要严格单调并且允许具有平坦段。在频率、段长度及其位置的几种几何条件下,我们表明这些算子在大无序时享受安德森定位。
更新日期:2021-06-30
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