Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$

Svetlana Jitomirskaya; Wencai Liu; Yunfeng Shi

doi:10.1007/s00039-020-00530-8

Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$

Spectral Theory 2021-11-03 v1 Mathematical Physics math.MP

Authors: Svetlana Jitomirskaya , Wencai Liu , Yunfeng Shi

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Abstract

We establish Anderson localization for general analytic $k$ -frequency quasi-periodic operators on $\mathbb{Z}^d$ for \textit{arbitrary} $k,d$ .

Cite

@article{arxiv.1908.03805,
  title  = {Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$},
  author = {Svetlana Jitomirskaya and Wencai Liu and Yunfeng Shi},
  journal= {arXiv preprint arXiv:1908.03805},
  year   = {2021}
}