On the statistical description of the flow of non linear dispersive PDE

par Nikolay Tzvetkov (UMPA - ENS de Lyon)

jeudi 8 oct. 2026, 11:15 → 12:15 Europe/Paris

Salle K. Johnson

We study the three dimensional cubic defocusing wave equation with Gaussian initial data. We show that the law of the solution is quasi-Gaussian in low regularity regimes exploiting renormalised energies, normal form reductions, remarkable cancellations, non commutative Khinchin inequalities and cut-offs designed according to the probabilistic well-posedness theory developed by Nicolas Burq and myself around 2010. This is a joint work with Chenmin Sun and Leonardo Tolomeo.