collaborators

5 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.AP2026

Hyperbolic nonlinear Schrödinger equations on

Engin Başakoğlu, Chenmin Sun, Nikolay Tzvetkov +1

In this paper, we consider the hyperbolic nonlinear Schrödinger equations (HNLS) on . We obtain the sharp local well-posedness up to the critical regul…

math.AP2025

Almost sure global nonlinear smoothing for the 2D NLS

Chenmin Sun, Nikolay Tzvetkov

In this article, we prove an almost-sure global in time nonlinear smoothing effect for NLS on the two-dimensional torus. For deterministic data, this phenomenon was proved for the…

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…