Explore probabilistic and deterministic scattering for non-linear Schrödinger equations in this 58-minute lecture by Nicolas Burq at the Institut des Hautes Etudes Scientifiques (IHES). Delve into results on scattering with random initial data and discover how probabilistic perspectives lead to new findings in the description of wave operators for deterministic scattering. Learn about joint works with H. Koch, N. Visciglia, and N. Tzvetkov, gaining insights into advanced mathematical concepts and their applications in quantum mechanics and wave propagation.