Wave turbulence for a semilinear Klein-Gordon system (I)

I will present recent work on the derivation of an effective dynamics for the correlations associated to a semilinear Klein-Gordon system with random initial data. Due to the lack of invariances of this system, the effective dynamics is led by the trivial resonances and is not of kinetic type. I will motivate and present the model and the main result, and give some elements of the proof. This is a joint work with Anne-Sophie de Suzzoni (Evry) and Annalaura Stingo (X).