

The Stability-compactness Method and Qualitative Properties of Nonlinear Elliptic Equations
By Henry Berestycki


On continuous time bubbling for the harmonic map heat flow in two dimensions
By Wilhelm Schlag
By Nicolas Burq
Appears in collection : Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle
In this talk, I will present results on the scattering for non-linear Schrödinger equations with random initial data. I will also show how some ideas from this probabilistic perspective lead to new results in the description of the wave operators for deterministic scattering. This is based on joint works with H. Koch, N. Visciglia, and N. Tzvetkov.