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.


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.

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Research Output 1996 2016

Extra power backup for balancing of power grid with renewables

Foss, S., Kim, D., Georgiev, G. & Turlikov, A. M. 9 Dec 2016 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems (REDUNDANCY). IEEE, p. 45-47 3 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mathematical models

Power Law Condition for Stability of Poisson Hail

Foss, S., Konstantopoulos, T. & Mountford, T. 24 Nov 2016 In : Journal of Theoretical Probability. p. 1-21 21 p.

Research output: Contribution to journalArticle

Stability condition
power law

Shape theorems for Poisson hail on a bivariate ground

Baccelli, F., Chang-Lara, H. A. & Foss, S. Jun 2016 In : Advances in Applied Probability. 48, 2, p. 525-543 19 p.

Research output: Contribution to journalArticle

Precipitation (meteorology)

Stability and instability of a random multiple access model with adaptive energy harvesting

Foss, S., Kim, D. & Turlikov, A. 2 Feb 2016 In : Siberian Electronic Mathematical Reports. 13, 1, p. 16-25 10 p.

Research output: Contribution to journalArticle

Unit of energy
Energy harvesting
Multiple access

Stability of a Random Multiple Access Channel with "Success-Failure'' Feedback

Foss, S., Hajek, B. & Turlikov, A. M. 2016 In : Problems of Information Transmission. 52, 2, p. 61-71 11 p.

Research output: Contribution to journalArticle

Multiple access channel
Random access
Multiple access