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math.DS2020★ 1 cited
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…
math.DS2020★ 13 cited
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…