Geodesic
Convergence to a~Poisson distribution for certain models of particle motion
Izvestiya. Mathematics , Tome 20 (1983) no. 1, pp. 137-155.

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Many authors have considered the problem of convergence of a random point field to a Poisson field for various types of particle motion. In this article a general construction is presented which yields many of the previously proven results as special cases, along with a number of new examples of models of motion and initial random point fields such that there is convergence to Poisson fields and mixtures of them. Bibliography: 13 titles. 
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Yu. M. Sukhov. Convergence to a~Poisson distribution for certain models of particle motion. Izvestiya. Mathematics , Tome 20 (1983) no. 1, pp. 137-155. http://geodesic.mathdoc.fr/item/IM2_1983_20_1_a8/

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