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

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3 papers · 1 filter

math.AP2022★ 6 cited

Almost reducibility and oscillatory growth of Sobolev norms

Zhenguo Liang, Zhiyan Zhao, Qi Zhou

For 1D quantum harmonic oscillator perturbed by a time quasi-periodic quadratic form of $(x, - i \partial_{x})$ , we show its almost reducibility. The growth of Sobolev norms of so…

math.AP2021

Traveling fronts for Fisher-KPP lattice equations in almost periodic media

Xing Liang, Hongze Wang, Qi Zhou +1

This paper investigates the existence of almost periodic traveling fronts for Fisher-KPP lattice equations in one-dimensional almost periodic media. By the Lyapunov exponent of the…

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…