An equation on random variables and systems of fermions
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equationfermionsresultseuclideanevolutiongiverandomsystems
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In this paper, we consider an equation on random variables which can be reduced to the equation which describes the evolution of systems of fermions. We give some results of well-posedness for this equation on the spheres and torus of dimension 2 and 3 and on the Euclidean space. We give results of scattering and blow-up on the Euclidean depending on if the equation is defocusing or focusing. We interpret the results in terms of the evolution of fermions.
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Cited by 1 Pith paper
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Phase mixing estimates for the nonlinear Hartree equation of infinite rank
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