An equation on random variables related to infinite systems of particles

Anne-Sophie de Suzzoni, Universit´e Paris 13, CNRS
Fine Hall 1001

Please note special day (Friday) and location.  I will present an equation on random variables which is an extension of the cubic defocusing Schr\"odinger equation on density operators. I will then compute solutions of this equation whose laws are invariant both on the sphere and the Euclidean space. I will then give results of well-posedness and explain the consequences on the level of density operators."