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- W2072014746 abstract "Three related topics are treated in this paper. A mathematical model regarding asymptotic behavior of a nonhomogeneous solution in a system of vessesl (discrete stream) is considered. One of the main results-a theorem on separation of jets-states that every stream with a bounded number of vessels in every moment can be decomposed into jets such that stabilization of volume and concentration takes place in every jet and the overflows between different jets are finite on an infinite time interval. This theorem may also be reformulated in terms of nonhomogeneous Markov chains. The proof of this theorem essentially uses a statement (Theorem 3) about the existence of a nonrandom sequence (barrier) such that the expected number of interesections between this sequence and the trajectories of a martingale-type random sequence with a bounded number of values is finite on infinite time interval. Another problem deals with P(lim inf(Xne Dnn)) for some classes of random sequences" @default.
- W2072014746 created "2016-06-24" @default.
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- W2072014746 date "1987-07-01" @default.
- W2072014746 modified "2023-09-26" @default.
- W2072014746 title "A theorem on separation of jets and some properties of random sequences" @default.
- W2072014746 cites W4237738119 @default.
- W2072014746 doi "https://doi.org/10.1080/17442508708833458" @default.
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