Author

V. Nguyễn

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Preprint Sep 2026

Modified Scattering and Asymptotics for Perturbed One-Dimensional Cubic NLS

We study the long-time dynamics of small solutions to the one-dimensional nonlinear Schr\"odinger equation \[ i\partial_t v+\partial_x^2v-\beta\abs{v}^2v +\cW(x)\abs{v}^4v+\gamma i\partial_xv=0, \] where $\cW$ is spatially localized. The cubic nonlinearity is long range and produces the logarithmic phase correction, wh...

V. Nguyễn, A. Soffer, Truong Vu · 0 citations

Preprint Aug 2026

Stability of Finite-Batch Particle Mean-Field Variational Inference Beyond Strong Convexity

We study the implementable finite-batch particle algorithm for mean-field variational inference as a fully discrete stochastic approximation of the projected Wasserstein dynamics. The target potential is globally smooth but need not be strongly convex. The departure from contractivity is quantified by the curvature def...

V. Nguyễn, T. Vu · 0 citations