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A stochastic representation for the Poisson-Vlasov equation

TitleA stochastic representation for the Poisson-Vlasov equation
Publication TypeUnpublished
Year of Publication2007
AuthorsMendes VR, Cipriano F
Series TitlePreprint
AbstractA stochastic representation for the solutions of the Poisson-Vlasov equation is obtained. The repesentation involves both an exponential and a branching process. The stochastic representation, besides providing an alternative existence proof and an intuitive characterization of the solutions, may also be used to obtain an intrinsic definition of the fluctuations.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2007/2_07.pdf