Geodesic
An asynchronous double stochastic flow with initiation of superfluous events
Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 59-65

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We consider an asynchronous double stochastic flow with initiation of superfluous events (a generalised asynchronous flow), which is a mathematical model of information flows in computer networks, communication systems, etc. We study the stationary mode of the flow. We find the probability density $p(\tau)$ of the length of the interval between events in the flow and the joint probability density $p(\tau_1,\tau_2)$ of the lengths of two neighbouring intervals. We show that the generalised asynchronous flow is a correlated flow in the general case. We find conditions for the flow to become recursive or to degenerate into an elementary one. 
@article{DM_2011_23_2_a4,
     author = {A. M. Gortsev and L. A. Nezhelskaya},
     title = {An asynchronous double stochastic flow with initiation of superfluous events},
     journal = {Diskretnaya Matematika},
     pages = {59--65},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2011_23_2_a4/}
}
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A. M. Gortsev; L. A. Nezhelskaya. An asynchronous double stochastic flow with initiation of superfluous events. Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 59-65. http://geodesic.mathdoc.fr/item/DM_2011_23_2_a4/