Hongzi Cong

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20142026

most citedLong-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited

13 citations · 19 across the 14 of their papers we have counts for

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math-ph2026

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions

Hongzi Cong, Wanran Ding, Zhihan Zhang +1

We prove the existence of full dimensional KAM tori for infinite dimensional mechanical systems exhibiting long range interactions, under a Diophantine condition of Bourgain type […

math-ph2023

Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on $Z^{d}$

Hongzi Cong, Yunfeng Shi, W. -M. Wang

Using a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary $ℓ^{2}$ data for polynomially long time for the nonlinear…

The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions

Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on Zd

Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on $Z^{d}$