(with Y. Wang) Invariant Gibbs dynamics for the nonlinear Schrödinger equations on the disc
Improved quasi-invariance result for the periodic Benjamin-Ono-BBM equation
(with L. Tolomeo) Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation.
(with G. Li, T. Zhao) Unconditional deep-water limit of the intermediate long wave equation in low-regularity, Nonlinear Differ. Equ. Appl. 32, 28 (2025).
(with R. Killip, M. Visan) Invariant measures for mKdV and KdV in infinite volume.
(with A. Chapouto, G. Li, T. Oh, D. Pilod) Intermediate long wave equation in negative Sobolev spaces, Proc. Amer. Math. Soc. Ser. B. 11 (2024), 452--468.
(with A. Chapouto) A continuum of invariant measures for the periodic KdV and mKdV equations, Trans. Amer. Math. Soc., 378 (2025), 7247--7286.
A remark on the well-posedness of the modified KdV equation in L2, Proc. Roy. Soc. Edinburgh Sect. A. Published online 2024:1-26. doi:10.1017/prm.2024.92
(with L. Tolomeo) Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations, to appear in J. Eur. Math. Soc.
(with K. Seong) Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations, Comm. PDE, 47 (2022), no. 6, 1296--1337.
(with L. Tolomeo) On the unique ergodicity for a class of 2 dimensional stochastic wave equations, Trans. Amer. Math. Soc., 377 (2024), 345--394.
(with M. Okamoto) A remark on norm inflation for nonlinear wave equations, Dynamics of Partial Differential Equations, Vol. 17, No. 4 (2020), pp. 361--381.
(with T. Oh) Normal form approach to the one-dimensional cubic nonlinear Schrödinger equation in Fourier-amalgam spaces, preprint. For details, please see my PhD thesis.
Almost sure global well-posedness of the BBM equation with infinite L2 initial data, Discrete Contin. Dyn. Syst. A., 40 (2020), 267--318.
(with W. J. Trenberth) On the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 7, 1987--2025.
(with T. Oh, Y. Wang) Stochastic cubic nonlinear Schrödinger equation with almost space-time white noise, J. Aust. Math. Soc. (2019), 1--24, DOI: https://doi.org/10.1017/S1446788719000156
On the deterministic and probabilistic Cauchy problem of nonlinear dispersive partial differential equations -- Ph.D. thesis
Notes on Commuting flows approach to Completely integrable PDEs -- Handwritten notes part 1, part 2 (2024)
Paracontrolled distributions and singular stochastic PDEs (Ongoing short course by Tadahiro Oh) -- Handwritten notes (2018)
Expanded details on a paper of Bourgain-Bulut -- Handwritten notes (2017)
Dynamics near the ground state energy for the Cubic Nonlinear Klein-Gordon equation in three dimensions -- MIGSAA Extended project (2017)