Asymptotic dynamics of a~system of a~large number of particles described by the Kolmogorov--Feller equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 3, pp. 298-306

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The grand statistical ensemble of a random number of particles for which the dynamics of the $n$-particle states is described by the Kolmogorov–Feller equations is considered. A BBGKY hierarchy corresponding to these equations is constructed. In the limit of a weak interaction and a large average number of particles, it is established that there is a connection between the solutions of the limiting hierarchy of equations and the solutions of the Boltzmann equation.
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     author = {V. P. Belavkin and V. P. Maslov and S. \`E. Tariverdiev},
     title = {Asymptotic dynamics of a~system of a~large number of particles described by the {Kolmogorov--Feller} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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V. P. Belavkin; V. P. Maslov; S. È. Tariverdiev. Asymptotic dynamics of a~system of a~large number of particles described by the Kolmogorov--Feller equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 49 (1981) no. 3, pp. 298-306. http://geodesic.mathdoc.fr/item/TMF_1981_49_3_a1/