A stochastic representation for the Poisson-Vlasov equation
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A stochastic representation for the solutions of the Poisson-Vlasov equation is obtained. The representation 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.
9 Pages, 1 figure, VLASOVIA 2006
9 Pages, 1 figure, VLASOVIA 2006