An equation on random variables related to infinite systems of particles

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Anne-Sophie de Suzzoni, Universit麓e Paris 13, CNRS

Please note special day (Friday) and location. 听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."