a) Mathematics: Theory of Probability, Random Processes,
Mathematical Physics, Theory of Interacted Particle Systems.
b) Queuing Theory: Queuing Networks, application of the Theory of
Markov Processes with Local Interactions to Networks with a large
number of queues, Asymptotical Properties of Queuing Networks.
A. A. Vladimirov, S. A. Pirogov, A. N. Rybko, S. B. Shlosman, “Propagation of chaos and Poisson hypothesis”, Probl. Peredachi Inf., 54:3 (2018), 102–111; Problems Inform. Transmission, 54:3 (2018), 290–299
F. Baccelli, A. N. Rybko, S. B. Shlosman, “Queueing networks with mobile servers: the mean-field approach”, Probl. Peredachi Inf., 52:2 (2016), 86–110; Problems Inform. Transmission, 52:2 (2016), 178–199
A. N. Rybko, S. B. Shlosman, “Phase transitions in the queuing networks and the violation of the Poisson hypothesis”, Mosc. Math. J., 8:1 (2008), 159–180
A. A. Vladimirov, A. N. Rybko, S. B. Shlosman, “Self-averaging Property of Queueing
Systems”, Probl. Peredachi Inf., 42:4 (2006), 91–103; Problems Inform. Transmission, 42:4 (2006), 344–355
K. M. Khanin, D. V. Khmelev, A. N. Rybko, A. A. Vladimirov, “Steady solutions for FIFO networks”, Mosc. Math. J., 1:3 (2001), 407–419
2000
12.
F. I. Karpelevich, A. N. Rybko, “Asymptotic Behavior of the Thermodynamical Limit for Symmetric Closed Queueing Networks”, Probl. Peredachi Inf., 36:2 (2000), 69–95; Problems Inform. Transmission, 36:2 (2000), 154–179
A. A. Pukhal'skii, A. N. Rybko, “Nonergodicity of a Queueing Network under Nonstability of Its Fluid Model”, Probl. Peredachi Inf., 36:1 (2000), 26–47; Problems Inform. Transmission, 36:1 (2000), 23–41
O. A. Zadorozhnyuk, A. N. Rybko, “On a model of plane switching circuits”, Diskr. Mat., 7:4 (1995), 40–50; Discrete Math. Appl., 5:5 (1995), 491–502
1992
15.
A. N. Rybko, A. L. Stolyar, “Ergodicity of Stochastic Processes Describing the Operation of Open Queueing Networks”, Probl. Peredachi Inf., 28:3 (1992), 3–26; Problems Inform. Transmission, 28:3 (1992), 199–220
M. Ya. Kelbert, M. L. Kontsevich, A. N. Rybko, “On Jackson Circuits on Countable Graphs”, Teor. Veroyatnost. i Primenen., 33:2 (1988), 379–382; Theory Probab. Appl., 33:2 (1988), 358–361
A. N. Rybko, V. A. Mikhailov, “Capacity Region for Circuit-Switched Networks”, Probl. Peredachi Inf., 22:1 (1986), 66–84; Problems Inform. Transmission, 22:1 (1986), 51–66
1982
18.
A. N. Rybko, “Existence Conditions for a Steady-State Mode for Two Types of Communications Networks with Message Switching”, Probl. Peredachi Inf., 18:1 (1982), 94–103; Problems Inform. Transmission, 18:1 (1982), 76–84
1981
19.
A. N. Rybko, “Stationary Distributions of Time-Homogeneous Markov Processes Modeling Message-Switching Communication Networks”, Probl. Peredachi Inf., 17:1 (1981), 71–89; Problems Inform. Transmission, 17:1 (1981), 49–63
2001
20.
N. D. Vvedenskaya, E. B. Dynkin, A. Ya. Kreinin, N. A. Kuznetsov, V. A. Malyshev, R. A. Minlos, I. A. Ovseevich, E. A. Pechersky, A. N. Rybko, Yu. M. Sukhov, “Fridrikh Izrailevich Karpelevich. In Memoriam”, Probl. Peredachi Inf., 37:2 (2001), 110–111; Problems Inform. Transmission, 37:2 (2001), 185–186
21.
N. D. Vvedenskaya, A. M. Vershik, E. A. Zhizhina, N. A. Kuznetsov, V. A. Malyshev, I. A. Ovseevich, S. A. Pirogov, A. N. Rybko, Ya. G. Sinai, S. B. Shlosman, R. Z. Khas'minskii, “Robert Adol'fovich Minlos (on his 70th birthday)”, Uspekhi Mat. Nauk, 56:4(340) (2001), 173–176; Russian Math. Surveys, 56:4 (2001), 789–792
22.
È. B. Vinberg, I. M. Gel'fand, S. G. Gindikin, E. B. Dynkin, V. A. Malyshev, R. A. Minlos, A. L. Onishchik, I. I. Pyatetskii-Shapiro, A. N. Rybko, Yu. M. Sukhov, S. B. Shlosman, “Fridrikh Israilevich Karpelevich (obituary)”, Uspekhi Mat. Nauk, 56:1(337) (2001), 147–152; Russian Math. Surveys, 56:1 (2001), 141–147
A. A. Pukhal'skii, A. N. Rybko, “Letter to the Editor”, Probl. Peredachi Inf., 36:3 (2000), 95
1996
24.
L. A. Bassalygo, V. A. Malyshev, R. A. Minlos, I. A. Ovseevich, E. A. Pechersky, M. S. Pinsker, V. V. Prelov, A. N. Rybko, Yu. M. Sukhov, S. B. Shlosman, “In Memory of Roland L'vovich Dobrushin”, Probl. Peredachi Inf., 32:3 (1996), 3–24; Problems Inform. Transmission, 32:3 (1996), 223–238