Abstract
It is shown that the mathematical expectation of symmetric functionals of a stochastic proliferative particle-transport process can be expressed in terms of solutions of the standard kinetic equations.
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A. V. Lappa, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 154 (1976).
T. E. Harris, The Theory of Branching Processes, Springer, Berlin (1963); Prentice-Hall, Englewood Cliffs, New Jersey (1964).
B. A. Sevast'yanov, Branching Processes [in Russian], Nauka, Moscow (1971).
S. M. Ermakov, The Monte Carlo Method and Related Topics [in Russian], Nauka, Moscow (1975).
A. M. Kol'chuzhkin and V. V. Uchaikin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 90 (1975).
V. V. Uchaikin, Zh. Vychisl. Mat. Mat. Fiz.,16, 758 (1976).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 131–136, July, 1977.
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Uchaikin, V.V. Representation of the expectation of symmetric functionals in particle-transport theory. Soviet Physics Journal 20, 951–956 (1977). https://doi.org/10.1007/BF00893146
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DOI: https://doi.org/10.1007/BF00893146