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

Organisé par

Institut Henri Poincaré

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 my

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