Literature Cited
N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).
V. S. Vladimirov, Usp. Mat. Nauk,15, 129 (1960).
V. S. Vladimirov, Generalized Functions [in Russian], Nauka, Moscow (1979), p. 320.
N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1, Interscience, New York (1958).
R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,13, 115 (1979).
V. P. Maslov, Operator Methods [in Russian], Nauka, Moscow (1973), p. 544.
V. P. Maslov, “Equations of self-consistent fields,” Itogi Nauki i Tekhniki, VINITI Akad. Nauk SSSR, Ser. Problemy Sovremennoi Matematiki,11, 153 (1978).
V. P. Maslov and V. I. Belavkin, Teor. Mat. Fiz.,33, 17 (1977).
V. P. Maslov and S. É. Tariverdiev, “Asymptotic behavior of the Kolmogorov-Feller equation for a system of a large number of particles,” Itogi Nauki i Tekhniki, VINITI Akad. Nauk SSSR, Ser. Teor. Veroyatn., Mat. Statistika, Teor. Kibernetika,19, 85 (1982).
A. M. Chebotarev, Dokl. Akad. Nauk SSSR,225, 763 (1975).
J. Batt, Ann. Nucl. Energy,7, 213 (1980).
W. Braun and K. Hepp, Commun. Math. Phys.,81, 9 (1977).
H. Narnhofer and G. L. Sewell, Commun. Math. Phys.,81, 9 (1981).
H. Spohn, Math. Meth. in Appl. Sci.,3, 445 (1981).
Additional information
Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 54, No. 1, pp. 78–88, January, 1983.
Rights and permissions
About this article
Cite this article
Maslov, V.P., Chebotarev, A.M. On random fields corresponding to the BBGKY, Vlasov, and Boltzmann hierarchies. Theor Math Phys 54, 48–55 (1983). https://doi.org/10.1007/BF01017123
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01017123