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20162026
most citedAsymptotics of spectral gaps of quasi-periodic Schrödinger operators

32 citations · 97 across the 24 of their papers we have counts for

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math.DS2020★ 2 cited

Anosov-Katok constructions for quasi-periodic cocycles

Nikolaos Karaliolios, Xu Xu, Qi Zhou

We prove that if the frequency of the quasi-periodic cocycle is Diophantine, then the following properties are dense in the subcritical regime: for any $\frac{1…

math.DS2020

Absolutely Continuous Spectrum of Multifrequency Quasiperiodic Schrödinger operator

Xuanji Hou, Jing Wang, Qi Zhou

In this paper, we prove that for any -frequency analytic quasiperiodic Schrödinger operator, if the frequency is weak Liouvillean, and the potential is small enough, then the co…