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Labo J.-V.Poncelet: Alexander Krasnosel'sky

Rybko Alexandre N.

Researcher at the Laboratory since January 2007

BORN: 1948, Moscow, Russia PROFESSIONAL EXPERIENCE:
1978-1989: researcher at IITP.
1989-present: senior researcher at the IITP.
1993-1995: researcher at Moscow International Mathematical Institut.

RESEARCH INTERESTS

a) Mathematics: Theory of Probability, Random Processes, Mathematical Physics, Theory of Interacted Particle Systems.
b) Queueing Theory: Queueing Networks, application of the Theory of Markov Processes with Local Interactions to Networks with a large number of queues, Asymptotical Properties of Queueing Networks.

MISCELLANEOUS ACHIEVEMENTS:

1993: winner of mathematical stipendium of Academy of Natural Scienses and of International Sciense Foundation.
1995-present: member of the Editorial Board of "Markov Processes and Related Fields".
2004-2005: Fellow of Statistical Laboratory of Cambridge University, supported by award of Leverhulme Trust

REWARDS, INVITATIONS:

Referee at Russian Foundation of Fundamental Researches.
Guest of London Mathematical Society 2001 (two months).
Guest of Eurandom 2001.
Guest of IPAM (UCLA, two months), 2002
Guest of Institute of Theoretical Physics, Leuven, 2002

Invited Researcher at Cornell University, 1991.
Invited researcher on Weierstrass Institute, Berlin, 1993, 1995 (two + two months).
Invited Professor at Heidelberg University, support from the Volkswagen Foundation, 1996, (two months).
Invited Professor at Marceille University, Luminy, 1998 (two months).
Invited Professor at Beijing Normal University (China) 1998 (one month).
Invited Researcher at INRIA, Rocquencourt, Sophia Antipolis 1991, 1993, 1995, 1998.
Invited Professor at University of Cambridge, Department of Pure Mathematics and Mathematical Statistics, 2004-2005, ten months, supprt from Leverhulme Trust.
Invited Professor at National University of Singapore, 2003, 2005, tree months.

SELECTED PUBLICATIONS

1. F.I.Karpelevich, V.A.Malyshev, A.N.Rybko. "Stochastic Evolution of Neural Networks", Markov Processes and Related Fields, 1995, v.1, no.1, pp.141-161 .

2. A.N.Rybko, A.L.Stolyar, "Ergodicity of Stochastic Processes Describing the Operations of Open Queueing Networks", Problemy Peredachi Informatsii (in Russian), 1992, v. 28, pp. 3-26 .

3. R.L.Dobrushin, M.Y.Kel'bert, A.N.Rybko, Y.M.Suhov, "Qualitative Methods in the Theory of Queueing Networks", in "Stochastic Cellular Systems'' , Manchester Univ. Press, 1990.

4. M.Y.Kel'bert, M.L.Kontsevich, A.N.Rybko, "Infinite Jackson Networks", Teorija Veroyatnostey i yeyo Primenenija (in Russian), 1988, v. 33.

5. F.Baccelli, F.I.Karpelevich, M.I.Kel'bert, A.A.Puhalskii, A.N.Rybko, Y.M.Suhov, "A Mean Field Limit for a Class of Queueing Networks", Journal of Statistical Physics, 1992, v.6, no. 3/4, pp. 803-825 .

6. V.A.Michailov, A.N.Rybko, "Capacity Region of Channel Switching Networks with Queues", Problemy Peredachi Informatsii (in Russian), 1986, N 1, pp.65-84.

7. A.N.Rybko, "Stationary Distributions of Markov Processes Modelling Queueing Networks". Problemy Peredachi Informatsii (in Russian), V.27, N1, pp.-71-89.

8. A.N.Rybko, "Conditions of the Existence of the Stationary Mode for Two Classes of Communication Networks". Problemy Peredaci Informatsii (in Russian), V.28, N 1, pp.94-103.

9. R.L.Dobrushin, A.N.Rybko, "Capacity Region of Communication Networks". Fundamentals of teletraffic theory. Proc. of 3-Int. Sem. on Teletraffic Theory. Moscow 1984.

10. M.Y.Kel'bert, M.L.Kontsevich, A.N.Rybko, "Ergodicity of Infinite Jackson Networks". Proc. of the 1-th Bernoully Congress. Tashkent 1986

11. F.I.Karpelevich, A.N.Rybko, "On One New Class of Markov Processes with Interaction Modelling Adsorbtion". Fifth International Vilnius Conference on Probability Theory and Mathematical Statistics V.3, p.277, 1989.

12. A.N.Rybko, A.L.Stolyar, "On the Ergodicity of Markov Processes Corresponding to the Open Message Switching Networks". Conference on Applied Probability in Engineering Computer and Communication Sciences, pp.-142-143, Paris 1993

13. S.G.Foss, A.N.Rybko, "Stability of Multiclass Jackson-Type Networks", Markov Processes and Related Fields, V.2, N 3, 1996.

14. A.N.Rybko, A.N.Tretyakov, "Hydrodynamical Limit and Existence of Stationary Measure for Open Queueing Networks with Different Types of Qustomers". (In Russian)."Advanced Methods in Telecommunication Systems" Russian Academy of Science. IITP.1992, pp.90-120

15. R.L.Dobrushin, M.Y.Kel'bert, A.N.Rybko, Y.M.Suhov, "Qualitative Methods in the Theory of Queueing Networks" (in Russian), . Preprint IITP.1986

16. A.N.Rybko, "Capacity region of Communication Networks and Ergodicity of Markov Processes with Countable Set of States". (in Russian) Proceedings of the Third Czechoslovak-Soviet-Hungarian Seminar on Information Theory. 1980. pp.71-78.

17. A.Puhalskii, A.Rybko, "Non-Ergodicity of Queueing Networks Under Non-Stability of Their Fluid Models", University of Colorado at Denver, UCD/CCM Report No.141, April 1999.

18. Karpelevich F.I., Rybko A.N., "Termodinamical limit for symmetrical closed queueing networks", On Dobrushin's way. From probability to statistical mechanics, Ed. R.Minlos, S.Shlosman, Yu.Suhov. Providence: AMS, 2000.

19. Karpelevich F.I., Rybko A.N., "Asimptotical behavior of Symmetrical Closed Queueing Network in Thermodynamical Limit", Problemy Peredachi Informatsii (in Russian), 2000, V.36, N2, pp. 1-27.

20. F.I. Karpelevich, A.N. Rybko, "Termodinamical Limit for the Mean Field Model of Simple Symmetrical Closed Queueing Network", Markov Processes and Related Fields, 2000, V.6, N.1.

21. A.Rybko, "Weak Poisson Hypothesis for Thermodynamocal Limit of Symmetrical Networks". International Conference on Applied Probability, Ulm 1998.

22. A.N.Rybko, A.L.Stolyar, Yu.M.Suhov, "Stability of Global LIFO Networks", Memory book of F.I. Karpelevich, Providence, AMS, ser.2, vol.207, 2002, pp. 177-184.

23. A.Puhalskii, A.Rybko. "Non-Ergodicity of Queueing Networks Under Nonstability of Their Fluid Models". Problemy Peredachi Informacii (in Russian) 2000,V.36, N1.

24. A.Rybko, K.Khanin, D.Khmelev, A.Vladimirov, "Steady Solutions of Fluid Dynamics for FIFO Networks". Moscow Mathematical Jornal ,V.1, N.3, 2001, pp.407-419.

25. A.N.Rybko, F.I.Karpelevich, A.A.Petrov, S.A.Pirogov, V.A.Malyshev, "Context Free Evolution of Words". Preprint INRIA #4413, January 2002.

26. A.N.Rybko, F.I.Karpelevich, A.A.Petrov, S.A.Pirogov, V.A.Malyshev, "Context Free Evolution of Words", Memory book of F.I. Karpelevich, Providence, AMS, ser.2, vol.207, 2002, pp.91-114.

27. V.A.Malyshev, A.A.Pirogov, A.N.Rybko. "Random Walks and Chemical Networks". Preprint INRIA, April 2002.

28. A.Vladimirov, V.Oseledets, A.Rybko, K.Khanin, D.Khmelev. "Nonlinear Generalisation of Perron Theorem". D.A.N., vol.389, N.4, pp.452-456, 2003

29. V.A.Malyshev, A.A.Pirogov, A.N.Rybko. "Random Walks and Chemical Networks". Moscow Mathematical Journal, vol.4, N.2, pp.441-453, 2004.

30. A.N.Rybko, S.B.Shlosman. "Poisson Hypothesis for information networks (A study in non-linear Markov processes)". Part I, Accepted for publication in Moscow Mathematical Journal

31. A.Rybko, S.B.Shlosman, "Poisson Hypothesis for Queueing Networks - Combinatorial Aspects". Problemy Peredachi Informatsii 2005, V41, N3, pp. 51-57

32. E.I.Dinaburg, C.Maes, S.A.Pirogov, F.Redig, A.N.Rybko "The Potts Model Built on Sand " SPOR-Report 2004-02. Technische Universiteit