2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158269We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schroedinger equations on the disc of the plane $\R^2$. We also prove an estimate giving some intuition to what may happen in 3 dimensions.to appear in Annales de l'Institut FourierAnalysis of PDEstext