112 citations · 316 across the 29 of their papers we have counts for
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math.AP2019★ 4 cited
2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori
Chenjie Fan, Yumeng Ou, Gigliola Staffilani +1
We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent…
math.CA2019★ 2 cited
Weighted Estimates of Singular Integrals and Commutators in the Zygmund Dilation Setting
Xuan Thinh Duong, Ji Li, Yumeng Ou +2
The main purpose of this paper is to establish weighted estimates for singular integrals associated with Zygmund dilations via a discrete Littlewood--Paley theory, and then apply i…