Qi Zhou

activity

20122026

most citedSharp Phase transitions for the almost Mathieu operator

93 citations · 292 across the 31 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DS2020★ 2 cited

Anosov-Katok constructions for quasi-periodic $SL (2, R)$ cocycles

Nikolaos Karaliolios, Xu Xu, Qi Zhou

We prove that if the frequency of the quasi-periodic $SL (2, R)$ 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 $d$ -frequency analytic quasiperiodic Schrödinger operator, if the frequency is weak Liouvillean, and the potential is small enough, then the co…

math.AP2020★ 2 cited

1-d Quantum Harmonic Oscillator with Time Quasi-periodic Quadratic Perturbation: Reducibility and Growth of Sobolev Norms

Zhenguo Liang, Zhiyan Zhao, Qi Zhou

For a family of 1-d quantum harmonic oscillator with a perturbation which is $C^{2}$ parametrized by $E \in I \subset R$ and quadratic on $x$ and $- i \partial_{x}$ w…

Anosov-Katok constructions for quasi-periodic SL(2,R) cocycles

Absolutely Continuous Spectrum of Multifrequency Quasiperiodic Schrödinger operator

1-d Quantum Harmonic Oscillator with Time Quasi-periodic Quadratic Perturbation: Reducibility and Growth of Sobolev Norms

Anosov-Katok constructions for quasi-periodic $SL (2, R)$ cocycles