Main subjects of researches
Probability theory and applications
 Asymptotic methods in theory of random processes and
fields
 Highlevel excursions of Gaussian random processes and fields
 Limit theorems for large excursions and extremes
 Horizons of random fields generated by point processes
 Asymptotic analysis of Gaussian
and other probability measures in Banach Spaces
 Approximation of trajectories of random functions
 Matching problem for random sequences, applications in Biology
 Probability methods in fatigue of materials
 Engineering design and precision
Technologies
Mathematical Statistics and applications

Goodness of fit tests, KolmogorovSmirnov statistics
 Time series analysis, testing nonstationary hypothesis
 Software development in regression analysis
 Statistics of counting processes, survival analysis, statistics in reliability
 Statistical methods in Reliability Theory and Safety Control
Mathematical Physics
Stabilisation of statistical solutions to wave and
KleinGordon equations
Statistical solutions to NavierStokes system
Large deviations of solutions to stochastic
nonlinear parabolic partial differential equations
Longtime asymptotics and attractors of solutions to nonlinear
hyperbolic partial differential equations
Boundary value problems in the regions with corners
Diffraction of waves on a wedge
Mathematical problems of quantum physics and of statistical physics
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