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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1982 Volume 46, Issue 1, Pages 135–154 (Mi im1610)

This article is cited in 2 papers

Convergence to a Poisson distribution for certain models of particle motion

Yu. M. Sukhov


Abstract: 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.

UDC: 519.214

MSC: Primary 60G60, 70F99, 82A05; Secondary 28A33, 28A50, 60E07, 60G55, 82A70

Received: 23.03.1981


 English version:
Mathematics of the USSR-Izvestiya, 1983, 20:1, 137–155

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© Steklov Math. Inst. of RAS, 2026