Abstract
An equation is derived for the mathematical expectation of the multiplicative functional of a cascade process. It is shown that in special cases, the equations of Yanoshi, Pal, and Bell result from it, and also the equation for the generating functional of the number of collisions obtained earlier by the author.
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V. V. Uchaikin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 30 (1978).
V. V. Uchaikin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 7 (1979).
T. Harris, Theory of Branching Random Processes [Russian translation], Mir, Moscow (1966).
B. A. Sevast'yanov, Branching Processes [in Russian], Nauka, Moscow (1971).
L. Pal. Acta Phys Hung.,14, 345 (1962).
G. Bell, Nucl. Sci. Eng.,21, 390 (1965).
L. Yanoshi, Zh. Eksp. Teor. Fiz.,26, 386 (1954).
A. M. Kol'chuzhkin and V. V. Uchaikin, Introduction to the Theory of the Passage of Particles through a Substance [in Russian], Atomizdat, Moscow (1978).
V. V. Uchaikin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7, 131 (1977).
A. Ramakrishnan, Elementary Particles and Cosmic Rays, Pergamon (1962).
V. V. Uchaikin and V. V. Ryzhov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 16 (1974).
V. V. Uchaikin and A. V. Lappa, Probability Problems in Transport Theory [in Russian], Tomsk Gos. Univ., Tomsk (1977).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 14–21, August, 1979.
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Uchaikin, V.V. Fluctuations in cascade processes of the passage of particles through a substance. III. Soviet Physics Journal 22, 816–821 (1979). https://doi.org/10.1007/BF00889664
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DOI: https://doi.org/10.1007/BF00889664