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Equation intégrable aux données initiales aléatoires — Integrable Equation with Random Initial Data

10th June 2019   -   21st June 2019
CIRM Luminy, France


We will study integrable equations of KdV and NLS type with random initial data. We will consider a Gibbs ensemble of probability measures in the physical space and study the behaviour of correlators and fluctuations over large times. Since we consider integrable PDEs that can be integrated via inverse scattering, very detailed information of statistical quantities over large times will be derived.