Vlasov Scaling for Stochastic Dynamics of Continuous Systems |
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| Authors: | Dmitri Finkelshtein Yuri Kondratiev and Oleksandr Kutoviy |
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| Institution: | 1.Institute of Mathematics,National Academy of Sciences of Ukraine,Kyiv,Ukraine;2.Fakult?t für Mathematik,Universit?t Bielefeld,Bielefeld,Germany |
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| Abstract: | We describe a general derivation scheme for the Vlasov-type equations for Markov evolutions of particle systems in continuum.
This scheme is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of
related hierarchical chains of correlation functions equations. Several examples of realization of the proposed approach in
particular models are presented. |
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