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The laboratory鈥檚 work is聽aimed at聽developing qualitative research methods for nonlinear and nonlocal equations. The laboratory was opened thanks to聽the victory in聽the megagrant of聽the national project 鈥淪cience and Universities鈥�. The team of聽S.聽M.聽Nikol鈥檚kii Mathematical Institute of聽RUDN University, led by聽S.聽B.聽Kuksin, a聽leading scientist in聽the field of聽partial differential equations and their applications to聽mathematical physics, received support.

The Center conducts fundamental and applied research in聽mechanics and control processes for complex technical systems. It聽also develops software and mathematical systems for the design of聽information technology systems for various purposes using big data processing methods, artificial intelligence and machine learning technologies.

The Center conducts research aimed at聽improving and developing the network infrastructure. The research is聽carried out on聽real equipment, which makes it聽possible to聽more accurately assess the effectiveness and applicability of聽the results in聽real conditions.

The center is a structural subdivision of the S.M. Nikol鈥檚kii Mathematical Institute specializes in the field of mathematical physics.

Mathematical modelling in biomedicine is one of rapidly developing scientific disciplines motivated by the fundamental research and by the applications to public health.

The Center focuses on solving practical problems in the development of mathematical models for quality evaluation of the functioning of Internet of Things infrastructure within conditions of device dynamic relocation. The studies conducted by the Center lie at the junction of probability theory, mathematical statistics, and queuing theory.

The main research goal is the improvement of applied computational methods for solving problems in mathematical physics, probability and statistics theory.

The Center's activities aim to solve practical problems of fifth-generation (5G) wireless networks in terms of user applications. The work is conducted as part of the research project "Research and development of models and methods for design, analysis and calculation of wireless networks鈥�. - The Center conducts studies on 5G wireless heterogeneous networks in relation to the motion patterns of subscribers. - The Center develops models of radio resource management mechanisms of various types in 5G wireless heterogeneous networks. - The Center is developing analytical approaches to the probabilistic鈥搕ime characteristics of 5G wireless heterogeneous networks under a dynamic random variation of the signal-to-interference ratio.

Research and development of the scientific foundations and a complex of stochastic models to evaluate the effectiveness and reliability of devices interconnection in wireless networks of the Internet of Things.