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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 Devlopment 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):

  • SDG 7 - Affordable and Clean Energy
  • SDG 10 - Reduced Inequalities

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