• Wireless networks;
• 5G network;
• user applications based on wireless networks;
• simulation modeling

• Wireless networks;
• fifth-generation (5G) networks;
• network technologies;
• experimental studies

The studies lie at the junction of probability theory, mathematical statistics, and queuing theory. They also include:

• development of motion models for devices in 5G wireless networks taking into account data from mobility statistics for the appraisal of interference generated by moving devices and associated probabilistic characteristics of radio link unavailability periods;
• formalization of radio resource control mechanisms in 5G networks in terms of random process theory, queuing theory, and teletraffic theory taking into account heterogeneous network infrastructure, moving devices, and availability of D2D traffic and Internet of Things; development of analysis methods for queuing models with changing requirements.

• Symbolic-numerical solution of problems in quantum physics and wave optics, automation of the processing of experimental data obtained using accelerators, numerical computation of stochastic dynamics problems.
• Enhancement of functional models for optical and quantum-physical devices based on wave optical and quantum-mechanical effects; Modification of continuous numerical computation for solving direct problems of simulation of waveguide propagation of electromagnetic radiation in integrated optical waveguides, diffraction of polarized monochromatic electromagnetic radiation on subwave optical grating and evolution of small-size quantum mechanical systems.
• Computer implementation of symbolic numerical algorithms for solving initial boundary problems for corresponding systems of partial differential equations and studying their stability-like and symmetry properties.
• Development of research techniques for Markov and single-step processes; enhancement of research techniques for stochastic and statistic processes.
• Computer implementation of analytical and numerical algorithms for solving initial boundary value problems for the corresponding systems of partial differential equations, stochastic differential equations, integro-partial differential equations.

• Study of Hamilton action construction for various types of motion equations of infinite-dimensional systems and representability of equations in the form of Euler-Lagrange equations with nonpotential force densities, Hamilton equations and Hamilton admissible equations.

• Creation of information technology in the form of complex methods for managing radio resources in heterogeneous 5G wireless networks that support Internet of Things technologies.

• Wireless networks;
• 5G network;
• probability problem, mathematical theory of teletraffic.

• Wireless networks;
• 5G network;
• probability problem, mathematical theory of teletraffic

• Symbolic-numerical solution of problems in quantum physics and wave optics, automation of the processing of experimental data obtained using accelerators, numerical computation of stochastic dynamics problems.
• Enhancement of functional models for optical and quantum-physical devices based on wave optical and quantum-mechanical effects; Modification of continuous numerical computation for solving direct problems of simulation of waveguide propagation of electromagnetic radiation in integrated optical waveguides, diffraction of polarized monochromatic electromagnetic radiation on subwave optical grating and evolution of small-size quantum mechanical systems.
• Computer implementation of symbolic numerical algorithms for solving initial boundary problems for corresponding systems of partial differential equations and studying their stability-like and symmetry properties.
• Development of research techniques for Markov and single-step processes; enhancement of research techniques for stochastic and statistic processes.
• Computer implementation of analytical and numerical algorithms for solving initial boundary value problems for the corresponding systems of partial differential equations, stochastic differential equations, integro-partial differential equations.
• Study of Hamilton action construction for various types of motion equations of infinite-dimensional systems and representability of equations in the form of Euler-Lagrange equations with nonpotential force densities, Hamilton equations and Hamilton admissible equations.
• Creation of information technology in the form of complex methods for managing radio resources in heterogeneous 5G wireless networks that support Internet of Things technologies.