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Abstract: We consider Vlasov-type scaling for the Glauber dynamics in continuum with apositive integrable potential, and construct rescaled and limiting evolutionsof correlation functions. Convergence to the limiting evolution for thepositive density system in infinite volume is shown. Chaos preservationproperty of this evolution gives a possibility to derive a non-linearVlasov-type equation for the particle density of the limiting system.



Author: Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy

Source: https://arxiv.org/







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