| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 767760 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 6 Pages |
Abstract
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.
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Authors
R. Vilela Mendes, Fernanda Cipriano,