Yunfeng Shi

activity

20172023

most citedAnderson localization for multi-frequency quasi-periodic operators on

Z^{d}

32 citations · 101 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.SP2019★ 3 cited

Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation

Yunfeng Shi

In this paper, we study the multi-frequency quasi-periodic operator with a Gevrey type perturbation. We first establish the large deviation theorem (LDT) for the multi-dimensional…

math.SP2019★ 32 cited

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

Svetlana Jitomirskaya, Wencai Liu, Yunfeng Shi

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

math.DS2019

On the existence of full dimensional KAM torus for nonlinear Schrödinger equation

Hongzi Cong, Lufang Mi, Yunfeng Shi +1

In this paper, we study the following nonlinear Schrödinger equation \begin{eqnarray}\label{maineq0} \textbf{i}u_{t}-u_{xx}+V*u+εf(x)|u|^4u=0,\ x\in\mathbb{T}=\mathbb{R}/2π\mathbb{…

Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation

Anderson localization for multi-frequency quasi-periodic operators on Zd

On the existence of full dimensional KAM torus for nonlinear Schrödinger equation

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