32 citations · 101 across the 20 of their papers we have counts for
5 papers · 1 filter
Diffusion bound for the nonlinear Anderson model
Hongzi Cong, Yunfeng Shi
In this paper, we prove the power-law in time upper bound for the diffusion of a 1D discrete nonlinear Anderson model. We remove completely the decaying condition restricted on the…
Absence of eigenvalues of analytic quasi-periodic Schrodinger operators on
Yunfeng Shi
In this paper we study on the quasi-periodic Schrödinger operator where is a real analytic quasi-periodic function and . We first show t…
Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited
Hongzi Cong, Yunfeng Shi, Zhifei Zhang
In this paper, we confirm the conjecture of Wang and Zhang (J. Stat. Phys. 134 (5-6): 953--968, 2009) in a long time scale, i.e., the displacement of the wavefront for nonline…
A Multi-scale Analysis Proof of the Power-law Localization for Random Operators on
Yunfeng Shi
In this paper we give a multi-scale analysis proof of \textit{power-law} localization for random operators on for \textit{arbitrary} .
On linear stability of KAM tori via the Craig-Wayne-Bourgain method
Xiaolong He, Jia Shi, Yunfeng Shi +1
In this paper, we prove the Melnikov's persistency theorem by combining the traditional Kolmogorov-Arnold-Moser (KAM) technique and the Craig-Wayne-Bourgain (CWB) method. The aim o…