Abstract
Consider a set of objects (for example, molecules) of n types T 1, T 2,…,T n and assume that with probability, during the time interval (t 1,t 2 ) one object of type T k . turns into the set consisting of α1 objects of the first type, α2 objects of the second type, α i , objects of type i, etc. A random process consisting of this kind of transformation is called a branching process if the probabilities are uniquely determined by the times t 1 < t 2, the number k of the original type, k = 1, 2,…, n, and the n-dimensional vector α = (α1,α2,…, α n ) with integer coefficients, α i = 0,1,2….
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Dokl. Akad. Nauk SSSR56:1 (1947), 7-10.
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References
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© 1992 Springer Science+Business Media Dordrecht
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Dmitriev, N.A. (1992). Branching Random Processes. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications (Soviet Series), vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2260-3_32
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DOI: https://doi.org/10.1007/978-94-011-2260-3_32
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