Personal profile
Research interests
My present research interests are principally in stability, continuity, optimisation, and long-range dependence in stochastic processes; exact simulation and tail asymptotics of steady-state distributions in Markovian models (with applications in (tele)communications, queueing, risk, andmanufacturing). Jointly with co-authors, I developed various methods for the asymptotic analysis and for simulation of stochastic processes, including the fluid approximation approach, the renovation method, the saturation rule, and direct Markovian methods based on the splitting techniques. Also, my recent publications are devoted to the study of random walks, Markov processes, and stochastic networks with heavy-tailed increments. Within last few year I started to work on problems related to spatial stochastic models and to percolation theory, with applications in wireless networks.
Biography
MSc (1975) in Mathematics and Applied Mathematics from Novosibirsk State University, PhD (1982) in Extremal Problems in Queueing Theory, DSc (1992) in Stochastic Recursive Sequences and Their Applications. Professor at Novosibirsk State University (until 2000). Leading Sci Researcher at S.L.Sobolev Institute of Mathematics (on leave). Principal Organiser of SCS Programme (2010) at the I Newton Institute.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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SDG 7 Affordable and Clean Energy
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SDG 10 Reduced Inequalities
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Collaborations and top research areas from the last five years
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Any random variable with right-unbounded distributional support is the minimum of independent and very heavy-tailed random variables
Tarasenko, A. S., Foss, S. & Krivtsov, G., 26 Jan 2026, (E-pub ahead of print) In: Journal of Applied Probability. p. 1-10 10 p.Research output: Contribution to journal › Article › peer-review
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On Recurrence of the Infinite Server Queue
Foss, S. & Glynn, P. W., Mar 2026, In: Queueing Systems. 110, 1, 11.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Downloads (Pure) -
Efficient Remote Monitoring Through Noisy Random Access With Retransmissions
Foss, S., Kim, D. & Turlikov, A., 2025, In: IEEE Access. 13, p. 183171-183183 13 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Downloads (Pure) -
Last passage percolation and limit theorems in Barak-Erdős directed random graphs and related models
Foss, S., Konstantopoulos, T., Mallein, B. & Ramassamy, S., 3 Sept 2024, In: Probability Surveys. 21, p. 67-170 104 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Link opens in a new tab Citation (Scopus)120 Downloads (Pure) -
Maxima over random time intervals for heavy-tailed compound renewal and Lévy processes
Foss, S., Korshunov, D. & Palmowski, Z., Oct 2024, In: Stochastic Processes and their Applications. 176, 104422.Research output: Contribution to journal › Article › peer-review
Open AccessFile6 Downloads (Pure)