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math.AP2025
Large deviations principle for the cubic NLS equation with slowly decaying data
Rui Liang, Yuzhao Wang
In this note, we prove a sharp large derivation principle (LDP) for the cubic nonlinear Schrödinger equation with Gaussian random initial data in Fourier Lebesgue spaces. As a con…
math.AP2024
Gibbs dynamics for fractional nonlinear Schrödinger equations with weak dispersion
Rui Liang, Yuzhao Wang
We consider the Cauchy problem for the one-dimensional periodic cubic nonlinear fractional Schr{ö}dinger equation (FNLS) with initial data distributed via its associated Gibbs mea…