Invariant Gibbs measure for a Schrodinger equation with exponential nonlinearity

Tristan Robert

We investigate the invariance of the Gibbs measure for the fractional Schrodinger equation of exponential type (expNLS) $i{\partial }_{t}u+(-\Delta {)}^{\frac{\alpha }{2}}u=2\gamma \beta e^{\beta |u{|}^2}u$ on $d$-d…