Invariant Gibbs measures for 2D NLS and 3D cubic NLW

Abstract: In this talk, we'll present our results on invariant Gibbs measures for two different models. The first model is the periodic nonlinear Schrödinger equation (NLS) in 2D, with any (defocusing and renormalized) odd power nonlinearity. This result is joint work with Yu Deng (USC) and Andrea Nahmod (UMass Amherst). The second model is cubic nonlinear wave equation (NLW) in 3D, and the result is joint work with Bjoern Bringmann (IAS), Yu Deng, and Andrea Nahmod.