Trivial resonances for a system of Klein-Gordon equations and statistical applications

These notes are about a talk I gave at séminaire Laurent Schwartz on the third of February 2026. In this talk, I presented a result from [dSST25], which is a joint work with Annalaura Stingo (from École polytechnique) and Arthur Touati (from CNRS/ Université de Bordeaux). The result is an obstruction to a kinetic regime, in the framework of wave turbulence, for a non Hamiltonian equation, namely a system of Klein–Gordon equations with generic quadratic nonlinearities; and the derivation of an effective equation in the weak turbulence asymptotics.