Serguei Foss (Sergey Foss) foss(at)old.math.nsc.ru,  s.foss(at)hw.ac.uk   http://old.math.nsc.ru/LBRT/v1/foss/index.html,  http://www.ma.hw.ac.uk/ams/people/pages/foss.php Link to ArXiV.org: http://arxiv.org/find/math/1/au:+Foss_S/0/1/0/all/0/1

Education Research and Professional Experience Teaching Experience Main Scientific Interests Administrative Duties Other Activities Research Publications Textbooks Conference Papers Research Reports Conference Presentations

Education

• D.D. (Doctor of Science, or Research Doctorate; 1992), Institute of Mathematics, Novosibirsk, Russia. (Stochastic Recursive Sequences and Their Applications in Queueing)
  
• Ph.D. (1982), Institute of Mathematics, Novosibirsk, Russia. (Extremal Problems in Queueing Theory: with B.A.Rogozin)
  
• M.Sc. (1975), Novosibirsk State University, Russia. (Recurrence Properties of the Oscillating Random Walk: with B.A.Rogozin)

Research and Professional Experience

• 01/2003–pres. Professor at Heriot-Watt University, Edinburgh, web-page
• 12/2000–12/2002 Reader at Heriot-Watt University, Edinburgh, web-page
• 2/96–pres. Leading Scientific Researcher at Institute of Mathematics, Novosibirsk, Russian Academy of Sciences
• 9/92–2002 Professor at Novosibirsk State University
• 9/83–8/92 Associate Professor at Novosibirsk State University
• 9/80–8/93 Assistant Professor at Novosibirsk State University
• 9/77–8/80 Graduate Student at Novosibirsk State University
• 9/75–8/77 Assistant Professor at Tjumen' State University, Russia

Teaching Experience at HWU

• Classes at undergraduate level in Statistics, in Applied Stochastic Processes, and in Applied Statistical Methods for AM&S and Math students.
• Classes at graduate level in Stochastic Modelling and in Statistics for MSc students in Act and in Fin Math.
• Supervising of 6 PhD students

Teaching Experience at NSU and IM

• Classes at undergraduate level in Probability and in Mathematical Statistics for students in mathematics, in economics and in geophysics (for more than 20 years).
• Classes at graduate level in Stability of Stochastic Processes and in Queueing Theory, see some "open problems", at Dept. of Probability and Mathematical Statistics (for more than 15 years).
• Supervising of more than 25 undergraduate and 8 graduate students.
• Co-author of 3 textbooks

Main Scientific Interests

• Stability, Continuity and Optimization Problems for Queueing and (Tele-)Communication Models;, see some "open problems"
• Asymptotic Theory of General Stochastic Recursive Sequences and of Markov Chains and Processes.
• Large Deviations in the Presence of Heavy Tails, with Applications
• Spatial Stochastic Models

Other Activities

• Editor-in-Chief for "Queueing Systems", Associate Editor for "Advances in/Journal of Applied Probability", "Stochastic Processes and Applications", "Markov Processes and Related Fields".
• Principal Organiser of INI Programme 86 "Stochastic Processes in Communication Sciences" (Spring 2010), organiser and co-organiser of many conferences around the world.
• Visiting Professor at INRIA – Sophia Antipolis, France (October, 92 – June, 93 and April – August, 95), at Technical University of Braunschweig, Germany (April, 94 – March, 95) and at Colorado State University, Dept. of Statistics (August – December, 96).
• Referee for a number of journals.

Main Research Publications

1. Sergey Foss, Masakiyo Miyazawa. "Two-node queueing network with a heavy-tailed random input: the strong stability case" (submitted).

    Download from Arxiv.org

2. Maria Frolkova, Sergey Foss, Bert Zwart. "Random Fluid Limit of an Overloaded Polling Model" (submitted).

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3. Sergey Foss, Stan Zachary. "Stochastic sequences with a regenerative structure that may depend both on the future and on the past" (to appear in Adv. Appl. Probab.)

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4. Natalia Chernova, Sergey Foss, Bara Kim. "A polling system whose stability region depends on a whole distribution of service times". Operations Research Letters, 41 (2013), No.1, 188–190.

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5. Søren Asmussen, Sergey Foss. "On exceedance times for some processes with dependent increments" (to appear in J. Appl.Probab.).

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6. Leonardo Rojas-Nandayapa, Sergey Foss, Dirk P. Kroese. "Stability and performance of greedy server systems. A review and open problems", Queueing Systems, 68 (2011), 221—227.

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7. Sergey Foss, Leonardo T. Rolla, Vladas Sidoravicius. "Transience of a Server with Greedy Strategy on the Real Line", 2011.

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8. Charles Bordenave, Sergey Foss and Günter Last. "On the greedy walk problem", Queueing Systems, 68 (2011), 333—338.

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9. Maria Frolkova, Serguei Foss, Bert Zwart. "Fluid Limits for an ALOHA-type Model with Impatient Customers". Queueing Systems, 72 (2012), Issue 1-2, p. 69—101

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10. Francois Baccelli, Sergey Foss. "Poisson Hail on a Hot Ground", Journal of Applied Probability, 48A (2011), 343—366.

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11. Natalia Chernova, Sergey Foss, Bara Kim. "On the Stability of a Polling System with an Adaptive Service Mechanism", Annals of Oper. Res., 198 (2012), p. 125—144.

     Download from Arxiv.org    ANOR open access.

12. Sergey Foss, Seva Shneer and Andrey Tyurlikov. "Stability of a Markov-modulated Markov Chain, with application to a wireless network governed by two protocols". Stochastic Systems, 2 (2012), No. 1, p. 208–231.

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13. Sergey Foss, Dmitry Korshunov. "On Large Delays in Multi-Server Queues with Heavy Tails". Mathematics of Operations Research 37 (2012) 201—218.

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14. Sergey Foss, James Martin, Philipp Schmidt. "Long-range last-passage percolation on the line", 2011 (to appear in Annals of Applied Probability).

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15. Denis Denisov, Serguei Foss, Takis Konstantopoulos. "Limit theorems for a random directed slab graph", Ann. Appl. Probab., 22, Number 2 (2012), 702—733.

     slabgraph_subm.pdf,  Download from Arxiv.org  Project Euclid

16. P. Brémaud, S. Foss. "Ergodicity of a stress release point process seismic model with aftershocks". Markov Processes and Related Fields, 16 (2010), 389—408.

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17. A.M.Turlikov, S.G.Foss. "On the ergodic algorithms in random multi-access systems with 'Success/Failure' feedback". Problems of Information Transmission, 46 (2010), 91—109.

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18. Sergey Foss, Dmitry Korshunov and Stan Zachary. "An Introduction to Heavy-tailed and Subexponential Distributions" Mathematisches Forschunginstitut Oberwolfach, Oberwolfach Preprints (OWP) 2009--13, 108 p.

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19. Serguei Foss, Dmitry Korshunov, Stan Zachary. "Convolutions of long-tailed and subexponential distributions", Journal of Applied Probability, 46 (2009), 756—767.

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20. Serguei Foss, Andrew Richards. "On Sums of Conditionally Independent Subexponential Random Variables", Mathematics of Operation Research, 35 (2010), 102-119.

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21. Denis Denisov, Sergey Foss, Dmitry Korshunov. "Asymptotics of randomly stopped sums in the presence of heavy tails", Bernoulli, 16 (2010), 971—994.

     Download from Arxiv.org  PDF-file

22. Francois Baccelli, Giovanna Carofiglio, Serguei Foss. "Proxy Caching in Split TCP: Dynamics, Stability and Tail Asymptotics". In: "From Semantics to Computer Science", Cambridge University Press, 2009, 425—451.

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23. Sergey G. Foss, Anatolii A. Puhalskii. "On the limit law of a random walk conditioned to reach a high level". Stochastic Processes and Their Applications, 1221 (2011), 288–313.

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24. Serguei Foss, Takis Konstantopoulos. "A note on the convergence of renewal and regenerative processes to a Brownian bridge", 6 pages.

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25. D. Denisov, S. Foss and D. Korshunov. "Lower limits for distributions of randomly stopped sums", Theory of Probability and Its Applications, 52 (2007), 794–802.

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26. S. Foss. "On exact asymptotics for a stationary sojourn time distribution in a tandem of queues for a class of light-tailed distributions." Problems of Information Transmission, 43 (2007), No.4, 93–108.

    PDF-file (in Russian), Download from Arxiv.org (in English)

27. D. Denisov, S. Foss and D. Korshunov. "On lower limits and equivalences for distribution tails of randomly stopped sums", EURANDOM Report 04/2007, 11 p., Bernoulli 14 (2008), No.2, 391–404.

    PDF-file,  Download from Arxiv.org

28. C. Bordenave, S. Foss, V. Shneer. "A Random Multiple Access Protocol with Spatial Interactions", Journal of Applied Probability, 46 (2009), 844—865.

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29. S. Foss and S. Zachary. "On the exact distributional asymptotics for the supremum of a random walk with increments in a class of light-tailed distributions", Siberian Mathematical Journal, 47 (2006), No.6. p.1265–1274.

    PDF-file (in Russian),  Download from Arxiv.org (in English)

30. S. Foss, T. Konstantopoulos and S. Zachary. "Discrete and continuous time modulated random walks with heavy-tailed increments", Journal of Theoretical Probability, 20 (2007), No.3, 581—612.

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31. S. Foss and D. Korshunov. "Lower Limits and Equivalences for Convolution Tails", Annals of Probability 35 (2007), No.1, 366—383.

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32. S. Foss, A. Sapoghnikov. "Convergence Rates in Monotone Separable Stochastic Networks", Queueing Systems, 52 (2006), No.2, 125—137.

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33. A. Kovalevskii, V. Topchii and S. Foss. "On the Stability of a Queueing System with Uncountably Branching Fluid Limits", Problems of Information Transmission, 41 (2005), No.3, 254—279.

    PDF-file (in English), PDF-file (in Russian)

34. S. Foss, D. Korshunov. "Heavy tails in multi-server queues", 35 p., Queueing Systems, 52 (2006), No.1, 31—48.

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35. S. Foss, Z. Palmowski, S. Zachary. "The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk", Annals of Applied Probability, 15 (2005) No.3, 1936—1957.

    PDF-file,  Download from Arxiv.org

36. F. Baccelli, S. Foss and M. Lelarge. "Tails in generalized Jackson networks with subexponential service-times distributions". Journal of Applied Probability, 42 (2005), 513–530.

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37. S. Foss, T. Konstantopoulos. "An overview of some stochastic stability methods". Journal of Operation Research Society Japan, 47 (2004) No.4, 275—303.

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38. O.J. Boxma, S.G. Foss, J.-M. Lasgouttes, and R. Núñez Queija. "Waiting time asymptotics in the single server queue with service in random order", Queueing Systems, 46 (2004) 35–73.

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39. D. Denisov, S. Foss and D. Korshunov. "Tail asymptotics for the supremum of a random walk when the mean is not finite", Queueing Systems, 46 (2004), 15–33.

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40. F. Baccelli, S. Foss and M. Lelarge. "Asymptotics of subexponential max-plus networks: the stochastic event graph case", Queueing Systems, 46 (2004), 75–96.

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41. F. Baccelli, S. Foss. "Moments and tails in monotone-separable stochastic networks", Annals of Applied Probability, 14 (2004), 612—650.

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42. S. Foss, A. Sapozhnikov. "On the Existence of Moments for the Busy Period in a Single-Server Queue", Mathematics of Operation Research, 29 (2004), No. 3, 592—601.

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43. S. Asmussen, S. Foss and D. Korshunov. "Asymptotics for sums of random variables with local subexponential behaviour", Journal of Theoretical Probability, 16 (2003) No.2, 489–518.

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44. D. Denisov, S. Foss. "On transience conditions for Markov chains and random walks". Siberian Mathematical Journal, 44 (2003), 53–68.

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45. S. Foss, T. Konstantopoulos. "Extended renovation theory and limit theorems for stochastic ordered graphs", Markov Processes and Related Fields, 9 (2003), No. 3, 413–468.

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46. S. Foss, S. Zachary. "The maximum on a random time interval of a random walk with long-tailed increments and negative drift", Annals of Applied Probability, 13 (2003), 37—53.

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47. S. Foss, S. Zachary. "Asymptotics for the maximum of a modulated random walk with heavy-tailed increments", Analytic Methods in Applied Probability (in memory of Fridrih Karpelevich), American Mathematical Society Translations, Series 2, 207 (2002), 37—52.

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48. S. Foss. "Stochastic queueing systems and networks" , 21 p. Electronic version: at http://www.nsu.ru/mmf/tvims/foss/que/queue.pdf.
49. S. Foss, N. Chernova. "On optimality of FCFS discipline in multi-channel queueing systems and networks". Siberian Mathematical Journal, 42 (2001), No. 2, 372–385.

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50. S. Foss, D. Denisov. "On transience conditions for Markov chains", Siberian Mathematical Journal, 42 (2001), No. 2, 364–371.

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51. S. Foss, D. Korshunov. "Sampling at a random time with a heavy-tailed distribution", Markov Processes and Related Fields, 6 (2000), 643–658.

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52. A. Borovkov, S. Foss. "Estimates for Overshooting an Arbitrary Boundary by a Random Walk and Their Applications", Theory of Probability and Its Applications, 44 (1999), No.2, 249–277 (pp. 231–253 in English).

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53. S. Foss, A. Kovalevskii. "A stability criterion via fluid limits and its application to a polling model", Queueing Systems , 32 (1999), 131–168.

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54. S. Foss, R.L. Tweedie and J.N. Corcoran. "Simulating the Invariant Measures of Markov Chains using Backward Coupling at Regeneration Time", Probability in the Engineering and Informational Sciences, 12 (1998), 303–320.

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55. S. Foss, R.L. Tweedie. "Perfect Simulation and Backward Coupling", Stochastic Models, 14 (1998), Nos.1–2, 187–204.

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56. S. Foss, N. Chernova. "On stability of a partially accessible multi-station queue with state-dependent routing". Queueing Systems, 29 (1998), No.1, 55–73.

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57. S. Foss, G. Last. "On the stability of greedy polling systems with general service policies". Probability in the Engineering and Informational Sciences, 12 (1998), No.1, 49–68.

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58. E. Altman, S. Foss, E. Riehl and S. Stidham, Jr. "Perfomance bounds and pathwise stability for generalized vacation and polling systems". Operation Research, 46 (1998), No.1, 137–148.

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59. E. Altman, S. Foss. "Polling on a space with general arrival and service time distributions". Operations Research Letters, 20 (1997), No.4, 187–194.

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60. S. Foss, N. Chernova. "Dominance theorems and ergodic properties of polling systems". Problems of Information Transmission, 32 (1996), No.4, 46–71.

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61. S. Foss, N. Chernova. "On stability of polling models with infinite number of queues". Siberian Mathematical Journal, 37 (1996), No.4, 940–956.

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62. F. Baccelli, S. Foss, J. Mairesse. "Stationary ergodic Jackson networks: results and counter-examples". In: Stochastic Networks. Theory and Applications. Clarendon Press, Oxford, 1996, 281–307.

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63. S. Foss, S. Zuyev. "On a Voronoi aggregative process related to a bivariate Poisson process". Advances in Applied Probability, 28 (1996), No.4, 965–981.

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64. S. Foss, A. Rybko. "Stability of multiclass Jackson-type networks". Markov Processes and Related Fields, 2 (1996), No.3, 261–287.

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65. F. Baccelli, S. Foss, B. Gaujal. "Free choice Petri nets - an algebraic approach". IEEE Transactions on Automatic Control, 41 (1996) No. 12, 1751—1778.

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66. S. Foss, G. Last. "Stability of Polling Systems with State Dependent Routing and with Exhaustive Service Policies". Annals of Applied Probability, 6 (1996), No.1, 116–137.

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67. F. Baccelli, S. Foss. "On the Saturation Rule for the Stability of Queues". Journal of Applied Probability, 32 (1995), No.2, 494–507.

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68. S. Foss, G. Hooghiemstra, M. Keane. "On a Problem of Jon Wellner". Statistica Neerlandica, 48 (1994), No.2, 44–57.

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69. F. Baccelli, S. Foss. "Ergodicity of Jackson-Type Queueing Networks". Queueing Systems, 17 (1994), 5–72.

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70. A. Borovkov, S. Foss. "Two Ergodicity Criteria for Stochastically Recursive Sequences". Acta Applicandae Mathematicae, 34 (1994), Nos. 1–2, 125–134.
71. S. Asmussen, S. Foss. "Renovation, Regeneration and Coupling in Multi-Server Queues in Continuous Time". In: Front. in Pure and Applied Probability, Utrecht, 1 (1993), 1–6.
72. S. Foss. "On the Ergodicity Conditions for Stochastically Recursive Sequences". Queueing Systems, 12 (1992), No.3, 287–296.

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73. A. Borovkov, S. Foss. "Stochastically Recursive Sequences and Their Generalizations". Siberian Advances in Mathematics, 2 (1992), No.1, 16–81.

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74. S. Foss, N. Chernova. "On Ergodicity of Multi-Server Non-Completely Admissible Communication Systems". Problems of Information Trasmission, 27 (1991), No.2, 9–14.
75. S. Foss. "Ergodicity of Queueing Networks". Siberian Mathematical Journal, 32 (1991), No.4, 183–202.
    English translation: Siberian Mathematical Journal, 32 (1992), 690–705.

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76. S. Foss, V.V. Kalashnikov. "Regeneration and Renovation in Queues". Queueing Systems, 8 (1991), No.3, 211–224.

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77. S. Foss. "Some Properties of Open Queueing Networks". Problems of Information Transmission, 25 (1989), No.3, 90–97 .
78. S. Foss. "The Method of Renovating Events and its Applications in Queueing Theory". In: Semi-Markov Models. Theory and Applications. Proceedings of an International Symposium on Semi-Markov Processes and Their Applications. New-York: Plenum Press, 1986, 337–350.
79. S. Foss. "On the Certain Method of the Estimation of the Convergence Rate in Ergodicity and Stability Theorems for Multi-Server Queues". In: Trudy Instituta Matematiki (Proceedings of the Institute of Mathematics, Novosibirsk), 5 (1985), 126–137.
80. S. Foss. "Queues with Customers of Several Types". In: Limit Theorems and Related Problems, ed. A. A. Borovkov. Optimization Software, 1984, 348–377.
81. S. Foss. "Estimates of Convergence Rates in Multi-Server Queues". Theory of Probability and its Applications, 29 (1984), No.3, 605–606.
82. S. Foss. "On Ergodicity Conditions for Multi-Server Queueing Systems". Siberian Mathematical Journal, 24 (1983), No.6, 168–175.
    English translation: "Conditions for Ergodicity in Queues with Many Servers and Waiting", Siberian Mathematical Journal, 24 (1984), 961–968.

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83. S. Foss. "Systems with several customers classes". In: Trudy Instituta Matematiki (Proceedings of the Institute of Mathematics, Novosibirsk), 1 (1982), 212–237 (in Russian).
84. S. Foss. "Comparison of Service Disciplines in Multi-Server Queues". Siberian Mathematical Journal, 22 (1981), No.1, 190–197.
    English translation: "Comparison of Servicing Strategies in Multichannel Queueing Systems", Siberian Mathematical Journal, 22 (1981), 141–147.

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85. S. Foss. "On Systems with Several Classes Customers". Theory of Probability and its Applications, 25 (1980), No.1, 135–137.
86. S. Foss. "Approximation of Multichannel Queueing Systems". Siberian Mathematical Journal, 21 (1980), No.6, 132–140.
    English translation: Siberian Mathematical Journal, 21 (1981), 851–857.

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87. S. Foss, B. Rogozin. "The Recurrence of Oscillating Random Walk". Theory of Probability and its Applications, 23 (1978), No.1, 161–169.

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Books

1. (With A. A. Borovkov, I. S. Borisov, etc.) "Problems and Exercises in Mathematical Statistics", Novosibirsk State University Publisher, 1989; 58 p.
2. (With D. Korshunov) "Problems and Exercises in Probability Theory", Novosibirsk State University Publisher, 1997, 116 p.
3. (With I. Asymont and D. Korshunov) "Problems and Exercises in Probability Theory". Lan' Publisher, St Petersburg, 2004, 192 p.
4. S. Foss, D. Korshunov, S. Zachary, "An Introduction to Heavy-Tailed and Subexponential Distributions", Springer Series in Operations Research and Financial Engineering, 2011.

Selected conference papers published as proceedings

1. "Some open problems related to stability". 100 years of queueing - The Erlang Centennial. Copenhagen April 1-3, 2009.

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2. F. Baccelli, G. Carofiglio and S.Foss. "Proxy Caching in Split TCP: Dynamics, Stability and Tail Asymptotics". In: Proceedings of INFOCOM conference, April 2008, Phoenix, USA.

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3. F. Baccelli, S. Foss. "Tails in monotone-separable stochastic networks". In: Proceedings of the SSSC IFAC Workshop on Max-Plus Algebras, Prague, August 2001, Elsevier, 16 p.

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4. S. Foss, N. Chernova, A.Kovalevskii. "Stability of Polling Systems with State-Independent Routing". In: Proceedings of 34th Allerton Conference, Monticello, Illinois, 1996, 220–227.

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5. S. Foss, N.G. Zagoruyko, V.M. Velichko. "Statistical Approach to the Speech Recognition". In: Proceedings of 15th School on Automatic Speech Recognition. Tallinn, 1989, 9–14.

Selected Research Reports

1. S. Foss. "Comparison of Service Disciplines in GI/GI/m Queues". Research Report No.1097, INRIA (France), 1989, 12 p.
2. E. Altman, S. Foss. "Polling Systems with General Arrivals". Research Report No.1992, INRIA (France), 1993, 24 p.
3. S. Foss, S. Zuyev. "On a certain segment process with Voronoi clustering". Research Report No.1993, INRIA (France), 1993, 26 p.
4. F. Baccelli, S. Foss, B. Gaujal. "Structural, temporal and stochastic properties of unbounded free-choice Petri nets". Research Report No.2411, INRIA (France), 1994.
5. S. Foss, N. Chernova. "Ergodic properties of polling systems". Research Report 6/95, Institute of Mathematics, Novosibirsk, 1995, 37 p.
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Encyclopaedia Articles and Editorial Introductions

1. S. Foss. The G/G/1 Queue. Wiley Encyclopedia of Operations Research and Management Science.

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2. S. Foss. Editorial. Queueing Systems, 64 (2010), 1–3.

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3. O. Boxma and S. Foss. Editorial. Queueing Systems, 62 (2009), 195.
4. A. Borovkov, S. Foss. "Renovating event". In: Probability and Mathematical Statistics. Encyclopaedia. Scientific Publisher "Large Russian Encyclopaedia'', 1999, p. 406.
5. A. Borovkov, S. Foss, V. Kalashnikov. "Stability theorems in the queueing theory". In: Probability and Mathematical Statistics. Encyclopaedia. Scientific Publisher "Large Russian Encyclopaedia", 1999, p.753.
6. S. Foss and T. Konstantopoulos. Editorial Introduction. Queueing Systems, 32 (1999), 1–3.
7. T. Konstantopoulos, S. Foss and S. Zachary. Editorial Introduction. Queueing Systems, 46 (2004), 5–7.

Selected Conference Presentations and Lectures

• An Overview on Stability Methods, with Applications. Lectures (6 h). The 30th Finnish Summer School on Probability Theory, June 2nd to June 6th, 2008.
• The Principle of One Big Jump in Random Walks and Stochastic Networks. Columbia University and Bell Lab's, March 2005.
• Random walks and stochastic networks with heavy-tailed increments — the principle of one big jump. Invited speaker in: Workshop on rare events in communication networks. EURANDOM, Eindhoven, February 2-5, 2005.
• Exact Lower Bounds for Convolution Tails, with Applications to Subexponential Distributions. Reykjavik, 05/01/05.
• On a Perfect Simulation for Markov Chains. Heriot-Watt University, 01/10/04.
• Stability of Queueing Networks via Fluid Limits. Invited talk in: 2nd International Workshop in Applied Probability, Athens, Greece, March 2004.
• Maxima on Random Time Intervals of Random Walks with Heavy-Tailed Increments. Invited talk in: Workshop in Applied Probability, Oberwolfach, December 2003.
• Asymptotics for the maximum of a random walk with heavy-tailed increments, with queueing applications. Invited talk in: Swiss Probability Seminar, Bern, 26th November 2003.
• Renovation and limit Theorems for a Class of Stochastic Ordered Graphs. Invited talk in: Isaak Newton Institute for Mathematical Sciences ( Interaction and Growth in Complex Stochastic Systems Programme), Cambridge, 13th November 2003.
• On Stability of Stochastic Networks via Fluid Limits. Invited talk in: Applied Probability Workshop, Bedlewo, Poland, May 2003.
• Asymptotics for the maximum of a random walk with negative drift and with heavy-tailed and dependent increments. Invited talk in: Dutch Mathematical Congress, Eindhoven, The Netherlands, April 2002.
• On celebrated Tweedie's results in Markov chains. Invited talk in: "Tweedie's day" (conference to the memory of Richard Tweedie), Institute Henry Poincare, Paris, January 2002.
• Moments and tails in multi-server queues. Invited talk in: Workshop on Mathematics of Stochastic Networks, EURANDOM, The Netherlands, November 2001.
• Asymptotics for distributions of stationary characteristics in stochastic networks with heavy tails. Invited talk in: International Workshop on Modern Problems in Applied Probability, Institute of Mathematics, Novosibirsk, August 2000.
• (With T. Konstantopoulos). On Asymptotics of Stochastic Ordered Graphs. Invited talk in: INFORMS Applied Probability Conference, University of Ulm, Germany, July 1999.
• On The Phi-Renovation, Backwards Coupling, and Perfect Simulation. Invited talk in: Meeting on Applied Probability, Oberwolfach, Germany, December 1998.
• On Recurrence, Positive Recurrence, and Stability of Markovian Stochastic Networks. Invited talk in: Workshop on Analysis and Simulation of Communication Networks, The Fields Institute, Toronto, Canada, November 1998.
• Stability of a Polling Model with Many Servers via Fluid Approximation. Invited talk in: International Workshop on Networks and Random Structures on Trees, Sandbjerg, Denmark, June 1997.
• On the stability of polling models. Invited talk in: 34th Allerton Conference, Monticello, Illinois, October 1996.
• Stability of generalized Jackson networks. Invited talk in: IMS Congress, Chicago, August 1996.
• Polling models with state-dependent routing. Invited talk in: Conference in Probability and Mathematical Statistics, Omsk, Russia, August 1995.
• Stability of polling models with general routing mechanism. Royal Statistical Society Research Workshop in Stochastic Networks, Heriot-Watt University, Riccarton, Edinburgh, August 1995.
• Limit behaviour of polling models with state-independent routing mechanism. Invited talk in: INFORMS Applied Probability Conference. Georgia Institute of Technology, Atlanta, Georgia, June 1995.
• On generalizations of the Kingman's subadditive ergodic theorem. Research Workshop in Applied Probability, Oberwolfach, Germany, December 1994.
• Stability of queueing models. Baltic Workshop in Probability, Dept. of Stochastics, University of Kiel, Germany, October 1994.
• Comparison theorems and ergodicity of polling models. Invited talk in: Conference on Stochastic Modelling, Dept. of Stochastics, University of Ulm, Germany, September 1994.
• On the saturation rule for stability of queues: applications to polling models. Invited talk in: Conference on Applied Probability, Dept. of Statistics, Leiden University, The Netherlands, April 1994.
• On the stability of Jackson-type queueing networks. Invited talk in: 22nd International Conference on Stochastic Processes and Their Applications, CWI, Amsterdam, The Netherlands, June 1993.
• Coupling and renovation. Invited talk in: INRIA/ORSA/TIMS/SMAI Conference in Applied Probability, Paris, France, June 1993.
• Stability of stochastic recursive sequences. Invited talk in: Conference on Probability Theory and Applications, Petrozavodsk, Russia, August 1992.
• Coupling in queueing. Invited talk in: Probability Session at Banach Center, Polish Academy of Sciences, Warsaw, April 1990.
• Communication nets: ergodicity and stability properties. Invited talk in: 28 CDC conference, Florida, U.S.A., February 1989.
• On the stationary majorants for stochastically recurrent sequences. Invited talk in: Fifth International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, Lituania, June 1989.
• Ergodicity and stability theorems for the stochastically recurrent sequences. Invited talk in: 18th European Meeting of Statisticians, Berlin, Germany, August 1988.
• The ergodic theorem for a class of queueing systems. Invited talk in: First World Congress of Bernoulli Society, Tashkent, Uzbekistan, June 1986.
• On the existence of renovation in multi-server queues. Invited talk in: Fourth International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, Lituania, June 1985.
• The Method of Renovating Events and its Applications in Queueing Theory. Invited talk in: International Symposium on Semi-Markov Processes and Their Applications, Brussels, Belgium, June 1984.