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arXiv · 1002.4698

Vlasov scaling for stochastic dynamics of continuous systems

Dmitri Finkelshtein·Yuri Kondratiev·Oleksandr Kutoviy
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Abstract

We describe a general scheme of derivation of 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 the realization of the proposed approach in particular models are presented.

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Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy. 2010-07-02. Vlasov scaling for stochastic dynamics of continuous systems. https://doi.org/10.1007/s10955-010-0038-1

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