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- Artyom P. Kovalevskii, Valentin Topchii, S. G. Foss
- Probl. Inf. Transm.
- 2005

Abstract—It is known that in many queueing systems fluid limits are deterministic functions. Models and conditions which lead to random fluid limits have not received much attention. This paper is devoted to a study of a queueing network whose fluid limits admit a random and uncountable branching at certain points. Stability conditions for this model are… (More)

- Valentin Topchii, Vladimir Vatutin
- DRW
- 2003

At the birth moment the newborn particles are located at the origin but after this moment behave independently and stochastically the same as the parent individual. The model we consider here is a particular case of the so-called branching random walk in catalytic medium. The longtime behavior of branching random walks in catalytic media of various types… (More)

- Zh N Netakhata, Zh V Solonukhina, Valentin Topchii
- Problemy ėndokrinologii
- 1968

Let the martingale Wn = Zn mn , where Zn is a weighted branching process and m = E ∑ i Ti is the expected sum of the = factors Ti, converge to some limiting random variable W . We give conditions in terms of the factors such that W belongs to the domain of attraction or to the domain of normal attraction of an = α–stable distribution with 1 < α ≤ 2. Further… (More)

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