3 papers
math.AP2026
Gibbs measure dynamics for the fractional NLS
Chenmin Sun, Nikolay Tzvetkov
We construct global solutions on a full measure set with respect to the Gibbs measure for the one dimensional cubic fractional nonlinear Schrödinger equation (FNLS) with weak disp…
math.AP2025
Probabilistic well-posedeness for the nonlinear Schrödinger equation on the sphere I: positive regularities
Nicolas Burq, Nicolas Camps, Chenmin Sun +1
We establish the probabilistic well-posedness of the nonlinear Schrödinger equation on the sphere . The initial data are distributed according to Gaussian mea…
math.AP2025
Quasi-invariance of Gaussian measures for the energy critical nonlinear Schr\" odinger equation
Chenmin Sun, Nikolay Tzvetkov
We consider the energy critical nonlinear Schr\" odinger equation with data distributed according to the Gaussian measure with covariance operator , where is…